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Is the "small world" effect relevant to evolution?

F Bagnoli1, M Bezzi

  • 1Dipartimento di Matematica Applicata, Università di Firenze, Via S. Marta 3, I-50139 Firenze, Italy. bagnoli@dma.unifi.it

Rivista Di Biologia
|March 27, 2002
PubMed
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Biological evolution is driven by mutations and selection. A small fraction of long-range mutations creates a small-world effect, simplifying evolutionary models and leading to a Boltzmann distribution on fitness landscapes.

Area of Science:

  • Evolutionary biology
  • Theoretical biology
  • Population genetics

Background:

  • Mutations and natural selection are fundamental to biological evolution.
  • Modeling evolution requires understanding different mutation types and their effects on populations.

Purpose of the Study:

  • To model the evolution of asexual organisms considering point mutations and long-range jumps.
  • To investigate the impact of long-range mutations on evolutionary dynamics and fitness landscapes.

Main Methods:

  • Developed a model for asexual population evolution.
  • Differentiated between point mutations (local) and rearrangements (long-range jumps).
  • Analyzed the effect of a small fraction of long-range jumps on evolutionary outcomes.

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Main Results:

  • A small-world effect was observed in evolution.
  • Even a few long-range mutations made evolutionary results similar to assuming equiprobable mutations.
  • Applied to smooth fitness landscapes, the equilibrium distribution followed a Boltzmann distribution.

Conclusions:

  • Long-range mutations significantly impact evolutionary dynamics, creating a small-world effect.
  • This effect simplifies evolutionary modeling by making long-range jumps akin to equiprobable mutations.
  • Fitness landscapes exhibit Boltzmann distributions, with fitness as energy and mutations as temperature.