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We show that a model consisting of individual, log-normal star formationhistories for a volume-limited sample of $z\approx0$ galaxies reproduces theevolution of the total and quiescent stellar mass functions at $z\lesssim2.5$and stellar masses $M_*\geq10^{10}\,{\rm M_\odot}$. This model has previouslybeen shown to reproduce the star formation rate/stellar mass relation (${\rmSFR}$--$M_*$) over the same interval, is fully consistent with the observedevolution of the cosmic ${\rm SFR}$ density at $z\leq8$, and entails noexplicit "quenching" prescription. We interpret these results/features in thecontext of other models demonstrating a similar ability to reproduce theevolution of (1) the cosmic ${\rm SFR}$ density, (2) the total/quiescentstellar mass functions, and (3) the ${\rm SFR}$--$M_*$ relation, proposing thatthe key difference between modeling approaches is the extent to which theystress/address diversity in the (starforming) galaxy population. Finally, wesuggest that observations revealing the timescale associated with dispersion in${\rm SFR}(M_*)$ will help establish which models are the most relevant togalaxy evolution.

Matching the Evolution of the Stellar Mass Function Using Log-normal Star Formation Histories