Fluctuations and correlations in an individual-based model of biological coevolution
Authored by RKP Zia, PA Rikvold
Date Published: 2004
DOI: 10.1088/0305-4470/37/19/003
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Mathematical description
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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.
Tags
Evolution
Age
Tangled nature
Quasi-species model
Punctuated equilibrium