Fluctuations and correlations in an individual-based model of biological coevolution

Details Fluctuations and correlations in an individual-based model of biological coevolution Fluctuations and correlations in an individual-based model of biological coevolution

2004-01-07

arxiv.org/abs/q-bio/0401008v1

J. Phys. A: Mathematical and General 37, 5135 - 5155 (2004).

Biology

Quantitative Biology

Populations and Evolution

25 pages, 2 figures

Scientific paper

10.1088/0305-4470/37/19/003

We extend our study of a simple model of biological coevolution to its statistical properties. Staring with a complete description in terms of a master equation, we provide its relation to the deterministic evolution equations used in previous investigations. The stationary states of the mutationless model are generally well approximated by Gaussian distributions, so that the fluctuations and correlations of the populations can be computed analytically. Several specific cases are studied by Monte Carlo simulations, and there is excellent agreement between the data and the theoretical predictions.

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