Abstract
We extend our study of a simple model of biological coevolution to its statistical properties. Starting 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 an excellent agreement between the data and the theoretical predictions.
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