Continuous and discontinuous phase transitions in the evolution of a polygenic trait under stabilizing selective pressure View Full Text


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Article Info

DATE

2017-06-30

AUTHORS

Annalisa Fierro, Sergio Cocozza, Antonella Monticelli, Giovanni Scala, Gennaro Miele

ABSTRACT

.The presence of phenomena analogous to phase transition in Statistical Mechanics has been suggested in the evolution of a polygenic trait under stabilizing selection, mutation and genetic drift. By using numerical simulations of a model system, we analyze the evolution of a population of N diploid hermaphrodites in random mating regime. The population evolves under the effect of drift, selective pressure in form of viability on an additive polygenic trait, and mutation. The analysis allows to determine a phase diagram in the plane of mutation rate and strength of selection. The involved pattern of phase transitions is characterized by a line of critical points for weak selective pressure (smaller than a threshold), whereas discontinuous phase transitions, characterized by metastable hysteresis, are observed for strong selective pressure. A finite-size scaling analysis suggests the analogy between our system and the mean-field Ising model for selective pressure approaching the threshold from weaker values. In this framework, the mutation rate, which allows the system to explore the accessible microscopic states, is the parameter controlling the transition from large heterozygosity (disordered phase) to small heterozygosity (ordered one). More... »

PAGES

288

References to SciGraph publications

  • 1987-07. Statistical mechanics of Eigen's evolution model in JOURNAL OF STATISTICAL PHYSICS
  • 1981-06. Finite size scaling analysis of ising model block distribution functions in ZEITSCHRIFT FÜR PHYSIK B CONDENSED MATTER
  • 1995-01. Dynamics of small autocatalytic reaction networks—II. Replication, mutation and catalysis in BULLETIN OF MATHEMATICAL BIOLOGY
  • 2010-07-09. Bistability in two-locus models with selection, mutation, and recombination in JOURNAL OF MATHEMATICAL BIOLOGY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1140/epjp/i2017-11566-9

    DOI

    http://dx.doi.org/10.1140/epjp/i2017-11566-9

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1090284703


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