Comparison between fits to our MARs and previously published fits. The solid, dotted, and dashed lines show the fit of the analytic relation proposed by Fakhouri et al. (2010) to the IllustrisTNG MARs (Eq. (8), see Sect. 5), the fit by Fakhouri et al. (2010), and the fit by Diemer et al. (2017), respectively, at z = 0.31. The shadowed turquoise band shows the typical 1σ IllustrisTNG scatter. The gray shadow indicates a similar assumed scatter for the merger tree models (gray bands).