Figure 2

The conditional mass function at \(\pmb{z=1.08}\) of halos in PCH trees which merge to become part of halos of mass \(\pmb{\log _{10}(M_{\mathrm{p}}/{\mathrm{M}}_{\odot})=13.42\mbox{-}13.66}\) by \(\pmb{z=0}\) , as a function of the progenitor halo mass normalized to the \(\pmb{z=0}\) halo mass. The blue line indicates trees grown directly to a resolution of \(M_{\mbox{res}}=2.5\times10^{9}{\mathrm{M}}_{\odot}\) (with the shaded region indicating the 1-σ Poisson error bars due to the finite number of trees analyzed). The red line shows results for trees grown to a lower resolution of \(M_{\mbox{res}}=7.1\times10^{10}{\mathrm{M}}_{\odot}\). Finally, the green line shows results when these lower resolution trees are augmented to \(M_{\mbox{res}}=2.5\times10^{9}{\mathrm{M}}_{\odot}\). The augmenting tolerance parameter was set to \(\epsilon_{0}=0.15\).