Redshift dependence of (i) the Einasto parameter α_E (left) and (ii) the ratio between the core size r_c of the Y24 profile and the virial radius r_200c (right). For the latter, we only show CDM, SIDM1, and vSIDM. The dashed (solid) lines represent the mean of DMO (FP) runs, as a function of halo mass. Bottom right: Example of redshift dependence of the dark matter profile. Here we plot the mean profile of haloes (M_200c = 10^11.5 M_⊙) for the vSIDM scenario, comparing the DMO (dashed ) and FP (solid) cases.