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Fisher's microscope and Haldane's ellipse.

D Waxman1, J J Welch

  • 1Centre for the Study of Evolution, School of Life Sciences, University of Sussex, Brighton BN1 9QG, Sussex, United Kingdom. d.waxman@sussex.ac.uk

The American Naturalist
|October 15, 2005
PubMed
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Fisher's geometrical model for adaptation is generalized by allowing selection intensity to vary across traits, addressing Haldane's concerns about independent trait contributions and potentially biasing mutation size outcomes.

Area of Science:

  • Evolutionary biology
  • Population genetics

Background:

  • Fisher's geometrical model analyzes mutation size in adaptation.
  • Haldane questioned its generality due to simplified natural selection assumptions, particularly independent trait contributions to fitness.

Purpose of the Study:

  • To generalize Fisher's geometrical model by incorporating variable selection intensity across traits.
  • To investigate the impact of this generalization on adaptation dynamics and mutation size bias.

Main Methods:

  • Modified Fisher's geometrical model to allow for differing selection intensities per trait.
  • Introduced a single quantity representing the pre-adaptation phenotype.
  • Compared adaptation outcomes between the original and generalized models.

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Main Results:

  • Haldane's concerns are addressed by allowing variable selection intensity.
  • The generalization can be achieved using a single pre-adaptation phenotype descriptor.
  • The generalized model can bias adaptation towards larger or smaller mutations compared to the original model.

Conclusions:

  • The generalized model offers a more robust framework for studying adaptation.
  • Variable selection intensity is a crucial factor in mutation size effects during adaptation.
  • Re-evaluating the applicability of Fisher's original model is warranted.