Journal of Statistical Mechanics: Theory and Experiment
Volume 2005
October 2005
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E Ben-Naim and P L Krapivsky J. Stat. Mech. (2005) L10002 doi:10.1088/1742-5468/2005/10/L10002
Chronological rank in biological evolution
FREE ARTICLEE Ben-Naim1 and P L Krapivsky2
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| Figure 1. Illustration of the replication-mutation-death process with a total of four different families of species and a total population of 7 (here, there are no death events). The rank of each species is indicated. |
| Figure 2. The normalized size distribution nk = M - 1/2Nk versus k, obtained from 103 independent Monte Carlo realizations for a total population of size 107. The rates are α = β and γ = 0. Also shown for comparison is the theoretical prediction nk ~ k - 1/2. |
| Figure 3. The descendant size distribution. Plotted is pk = M - 1Pk versus k, obtained from 103 independent Monte Carlo realizations for a population of size M = 107. The death rate is zero (γ = 0), while the replication and mutation rates are equal (α = β). Also shown for comparison is the theoretical prediction pk ~ k - 1. |
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Chronological rank in biological evolution
E Ben-Naim and P L Krapivsky J. Stat. Mech. (2005) L10002
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