Summary
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.
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Abbott LF (1988) A model of autocatalytic replication. J Mol Evol 27:114–120
Amitrano C, Peliti L, Saber M (1988) Neutralism and adaptation in a simple model of molecular evolution. C R Acad Sci Paris III 307:803–806
Anderson PW (1983) Suggested model for prebiotic evolution: the use of chaos. Proc Natl Acad Sci USA 80:3386–3390
Campbell IA, Flesselles JM, Jullien R, Botet R (1987) Random walks on a hypercube and spin glass relaxation. J Phys C: Solid State Physics 20:L47-L51
Derrida B (1980) Random-energy model: limit of a family of disordered models. Phys Rev Lett 45:79–82
Derrida B (1981) Random-energy model: an exactly solvable model of disordered systems. Phys Rev B24:2613–2626
Dyson FJ (1985) Orgins of life. Cambridge University Press, New York
Eigen M, Schuster P (1979) The hypercycle: a principle of natural self-organization. Springer, Berlin
Fitch WM, Markowitz E (1970) An improved method for determining codon variability in a gene and its application to the rate of fixation of mutations in evolution. Biochem Genet 4:579–593
Gaunt DS, Sykes MF, Ruskin H (1976) Percolation processes in d-dimensions. J Phys A: Math Gen 19:1899–1911
Kauffman SA (1988) Origins of order in evolution: self-organization and selection. In: Livi R, Ruffo S, Ciliberto S, Buiatti M (eds) Chaos and complexity. World Scientific, Singapore, pp 349–387
Kauffman SA (1989) Adaptation on rugged fitness landscapes. In: Stein D (ed) Complex systems, SFI Studies in the Science of Complexity. Addison-Wesley, Reading, MA, pp 527–617
Kauffman SA, Levin S (1987) Towards a general theory of adaptive walks on rugged landscapes. J Theor Biol 128: 11–45
Kimura M (1983) The neutral theory of molecular evolution. Cambridge University Press, New York
Küppers B-O (1983) Molecular theory of evolution. Springer, Berlin
Mézard M, Parisi G, Virasoro MA (1987) Spin glass theory and beyond. World Scientific, Singapore
Orgel LE (1979) Selectionin vitro. Proc Roy Soc London B 205:435–442
Peliti L (1989) Biogenesis: complexity and disorder. In: Peliti L (ed) Disordered systems and biological models. World Scientific, Singapore, pp 163–176
Rokhsar DS, Anderson PW, Stein DL (1986) Self-organization in prebiological systems: simulations of a model for the origin of genetic information. J Mol Evol 23:119–126
Ruelle D (1987) A mathematical reformulation of Derrida’s REM and GREM. Commun Math Phys 108:225–239
Toulouse G (1977) Theory of the frustration effect in spin glasses: I. Commun Phys 2:115–119
Tsallis C (1989) Biogenesis: autocatalytic polymerization of DNA-like molecules as a critical phenomenon. In: Peliti L (ed) Disordered systems and biological models. World Scientific, Singapore, pp 125–162
Tsallis C, Ferreira R (1983) On the origin of self-replicating information-containing polymers from oligomeric mixtures. Phys Lett 99A:461–463
Zhang YC, Serva M, Polikarpov M (1989) Diffusion-reproduction processes. J. Stat Phys (in press)
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Amitrano, C., Peliti, L. & Saber, M. Population dynamics in a spin-glass model of chemical evolution. J Mol Evol 29, 513–525 (1989). https://doi.org/10.1007/BF02602923
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DOI: https://doi.org/10.1007/BF02602923