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Vol. 96, Issue 17, 9716-9720, August 17, 1999
* Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501;
§ Biocomputing Group, European Molecular Biology Laboratory,
Meyerhofstrasse 1, 69012 Heidelberg, Germany; and
Communicated by Hans Frauenfelder, Los Alamos National Laboratory,
Los Alamos, NM, June 16, 1999 (received for review March 18, 1999)
We introduce and analyze a general model of a population evolving
over a network of selectively neutral genotypes. We show that the
population's limit distribution on the neutral network is solely
determined by the network topology and given by the principal
eigenvector of the network's adjacency matrix. Moreover, the average
number of neutral mutant neighbors per individual is given by the
matrix spectral radius. These results quantify the extent to which
populations evolve mutational robustness
Copyright © 1999 by The National Academy of Sciences 0027-8424/99/969716-5$2.00/0
Evolution
Neutral evolution of mutational robustness
,
, and,§
Bioinformatics Group, University of Utrecht, Padualaan 8, NL-3584-CH Utrecht, The Netherlands
the insensitivity of the
phenotype to mutationsand thus reduce genetic load. Because the
average neutrality is independent of evolutionary parameterssuch as
mutation rate, population size, and selective advantageone can infer
global statistics of neutral network topology by using simple
population data available from in vitro or in vivo evolution. Populations evolving on neutral networks of RNA secondary structures show excellent agreement with our theoretical predictions.
To whom reprint requests should be addressed.
E-mail: chaos{at}santafe.edu.
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