Abundance Distributions in Artificial Life and Stochastic Models: "Age and Area" revisited

Details Abundance Distributions in Artificial Life and Stochastic Models: "Age and Area" revisited Abundance Distributions in Artificial Life and Stochastic Models: "Age and Area" revisited

1995-03-29

arxiv.org/abs/adap-org/9503004v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

12 p., tar-compressed uuencoded postscript incl. figures, Proc. of ECAL 95 conference, to appear

Scientific paper

Using an artificial system of self-replicating strings, we show a correlation between the age of a genotype and its abundance that reflects a punctuated rather than gradual picture of evolution, as suggested long ago by Willis. In support of this correlation, we measure genotype abundance distributions and find universal coefficients. Finally, we propose a simple stochastic model which describes the dynamics of equilibrium periods and which correctly predicts most of the observed distributions.

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