Evolution with the proper comoving distance D₀ of the fractional contribution to the UHECR total flux (all species) above 8 EeV of the sources enclosed within that distance, P(D < D₀), assuming the source model A. Top panel: various hypotheses on the intensity of the EGMF between 10⁻² and 10 nG are displayed. The source catalogs assumed are 300 realizations of an homogeneous and isotropic distribution of discrete sources with a 10⁻³ Mpc⁻³ source density, the different lines shows the values obtained after averaging over the 300 realizations. The thick black line shows the case of the rectilinear propagation (i.e, without extragalactic magnetic fields) assuming a continuous source distribution for the same source model A. In all cases the minimum source distance is set to 3 Mpc. Bottom panel: the 1 nG EGMF and rectilinear cases, shown in the top panel, are compared with scenarios assuming 2MRS-based catalogs in the mother catalog approach for a 10⁻³ Mpc⁻³ source density and a 1 nG EGMF. For the latter, the average value (obtained over 300 realizations) is shown together with the interval where 90% of the simulations are found, represented by the shaded area.