We introduce a simple model describing the evolution of a population of information-carrying macromolecules. We discuss the asymptotic dependence of the variability of the population on different parameters, representing the severity or the fluctuations of the environment. We show the existence of a transition separating a neutralist evolutionary regime from a trapped one. We investigate the dependence of the evolutionary behavior of the population on the correlation properties of the fitness landscape.

Biological Evolution↗

PubMed1988

[Neutralism and adaptation in a simple model of molecular evolution].

We introduce a simple model of molecular evolution, with a fixed population and a rugged fitness function. We exhibit the analogy between the crossover from a neutralist to an adaptative evolutionary behavior and the percolation transition in genome space.

Biological Evolution↗

PubMed1986

Growth probability distribution in kinetic aggregation processes.

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Journal Article↗