No correlation discerned between the periods of rise and dominance of simulated species in a model of biological evolution

In [1], Liow et al. discern a general feature of the occurrence trajectories of biological species: the periods of rise and fall of a typical species are about as long as the period of dominance. In this work, an individual-based model of biological evolution that was developed by Rikvold and Zia in [2] is investigated, but no analogous feature is observed in the simulated species populations. Instead, the periods of rise and fall of a simulated species cannot always be sensibly defined; when it does make sense to define these quantities, they are quite short and independent of the period of dominance. \\[4pt] [1] Liow, L. H., Skaug, H. J., Ergon, T., Schweder, T.: Global occurence trajectories of microfossils: Is the rise and persistence of species influenced by environmental volatility? Manuscript for Paleobiology, 5 Dec 2008 \\[0pt] [2] Rikvold, P.A., Zia, R.K.P.: Punctuated equilibria and 1/$f$ noise in a biological coevolution model with individual-based dynamics. Physical Review E \textbf{68}, 031913 (2003)