Abstract
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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References
Willis, J.C. (1922). Age and Area. Cambridge University Press, Cambridge.
Darwin, C (1859). On the Origin of Species by Means of Natural Selection. Murray, London.
Yule, G.U. (1924), Proc. Roy. Soc. London Ser. B 213, 21.
Gould, S.J. and Eldredge, N. (1993) Nature 366, 223.
Ray, T.S. (1992). An Approach to the Synthesis of Life. In Artificial Life II: Proc. of an Interdisciplinary Workshop on the Synthesis and Simulation of Living Systems, (Santa Fe Institute Studies in the Sciences of Complexity, Proc. Vol 10., edited by C.G. Langton et al., Addison-Wesley, Reading, MA, p. 371.
Ray, T.S. (1994). An Evolutionary Approach to Synthetic Biology. Artificial Life 1, 195.
Adami, C. (1995). Learning and Complexity in Genetic Auto-Adaptive Systems. Physica D 80, 154.
Adami, C. (1994). Self-Organized Criticality in Living Systems. KRL preprint MAP-167, Caltech.
Adami, C. (1994). On Modelling Life. In Artificial Life IV, proceedings of the Fourth International Workshop on the Synthesis and Simulation of Living Systems, R.A. Brooks and P. Maes eds. (MIT Press, Cambridge, MA,), p. 269; Artificial Life 1, in print.
Adami, C. and Brown, C.T. (1994). Evolutionary Learning in the 2D Artificial Life System “Avida.” In Artificial Life IV: Proc. of the Fourth International Workshop on the Synthesis and Simulation of Living Systems, R.A. Brooks and P. Maes eds. (MIT Press, Cambridge, MA), p. 377.
MacArthur, R.H. (1957). Proc. Nat. Acad. Sci. 43, 293.
Motomura, I. (1932). J. Zool. Soc. Japan 44, 379.
Teramoto, E., Shigesada, N., and Kawasaki, K. (1984). Species-Abundance Relation and Diversity. In: Mathematical Ecology. Proceedings of the Autumn Course held at the International Centre for Theoretical Physics, Trieste (Italy), Nov. 29–Dec. 10 1982, Lecture Notes in Biomathematics, Springer Verlag.
Burlando, B. (1990). The Fractal Dimension of Taxonomic Systems. J. theor. Biol. 146, 99; (1993); The Fractal Geometry of Evolution. J. theor. Biol. 163, 161.
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Adami, C., Brown, C.T., Haggerty, M.R. (1995). Abundance-distributions in artificial life and stochastic models: “age and area” revisited. In: Morán, F., Moreno, A., Merelo, J.J., Chacón, P. (eds) Advances in Artificial Life. ECAL 1995. Lecture Notes in Computer Science, vol 929. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59496-5_321
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DOI: https://doi.org/10.1007/3-540-59496-5_321
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