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Phys. Rev. Lett. 95, 078105 (2005) [4 pages]

Link between Population Dynamics and Dynamics of Darwinian Evolution

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Géza Meszéna*
Department of Biological Physics, Eötvös University, Pázmány 1A, H-1117 Budapest, Hungary

Mats Gyllenberg†
Rolf Nevanlinna Institute, Department of Mathematics and Statistics, FIN-00014 University of Helsinki, Finland

Frans J. Jacobs1,‡ and Johan A. J. Metz1,2,§
1Institute of Biology, Leiden University, P.O. Box 9516, NL-2300 RA Leiden, The Netherlands
2Adaptive Dynamics Network, IIASA, A-2361 Laxenburg, Austria

Received 10 April 2005; published 12 August 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.078105
DOI:
10.1103/PhysRevLett.95.078105
PACS:
87.23.Cc, 87.23.Kg

*Electronic address: geza.meszena@elte.hu

†Electronic address: mats.gyllenberg@helsinki.fi

‡Electronic address: jacobs@rulsfb.leidenuniv.nl

§Electronic address: metz@rulsfb.leidenuniv.nl

 
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