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Phys Rev Lett. 2005 Aug 12;95(7):078105. Epub 2005 Aug 12.

Link between population dynamics and dynamics of Darwinian evolution.

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1
Department of Biological Physics, Eötvös University, Budapest, Hungary. geza.meszena@elte.hu

Abstract

We provide the link between population dynamics and the dynamics of Darwinian evolution via studying the joint population dynamics of similar populations. Similarity implies that the relative dynamics of the populations is slow compared to, and decoupled from, their aggregated dynamics. The relative dynamics is simple, and captured by a Taylor expansion in the difference between the populations. The emerging evolution is directional, except at the singular points of the evolutionary state space. Here "evolutionary branching" may occur. The diversification of life forms thus is demonstrated to be a natural consequence of the Darwinian process.

PMID:
16196829
DOI:
10.1103/PhysRevLett.95.078105
[Indexed for MEDLINE]
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