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Effects of Neutral Selection on the Evolution of Molecular Species

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Abstract

We introduce a new model of evolution on a fitness landscape processing a tunable degree of neutrality. The model allows us to study the general properties of molecular species undergoing neutral evolution. We find that a number of phenomena seen in RNA sequence-structure maps are present also in our general model. Examples are the occurrence of "common" structures which occupy a fraction of the genotype space which tends to unity as the length of the genotype increases, and the formation of percolating neutral networks which cover the genotype space in such a way that a member of such a network can be found within a small radius of any point in the space. We also describe a network can be found within a small radius of any point in the space. We also describe a number of new phenomena which appear to be general properties of naturally evolving systems. In particular, we show that the maximum fitness attained during the adaptive walk of a population evolving on such a fitness landscape increases with an increasing degree of neutrality, and is directly related to the fitness of the most fit percolating network.

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  • M. E. J. Newman & Robin Engelhardt, 1998. "Effects of Neutral Selection on the Evolution of Molecular Species," Working Papers 98-01-001, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:98-01-001
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    1. Erik van Nimwegen & James P. Crutchfield & Melanie Mitchell, 1997. "Statistical Dynamics of the Royal Road Genetic Algorithm," Working Papers 97-04-035, Santa Fe Institute.
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    Cited by:

    1. James P. Crutchfield & Erik van Nimwegen, 1999. "The Evolutionary Unfolding of Complexity," Working Papers 99-02-015, Santa Fe Institute.
    2. Tomassini, Marco, 2016. "Lévy flights in neutral fitness landscapes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 163-171.

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    Keywords

    Evolution; neutral networks; RNA;
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