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Related Concept Videos

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Natural selection influences the frequencies of particular alleles and phenotypes within populations in several different ways. Primarily, natural selection can be directional, stabilizing, or disruptive. Directional selection favors one extreme trait and shifts the population towards that phenotype while selecting against individuals displaying alternate traits. Stabilizing selection favors an intermediate trait with a narrow range of variation. Deviation from the optimal phenotype towards an...
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When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.
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Related Experiment Video

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Following the Dynamics of Structural Variants in Experimentally Evolved Populations
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Fixation probabilities in evolutionary dynamics under weak selection.

Alex McAvoy1,2,3, Benjamin Allen4

  • 1Department of Organismic and Evolutionary Biology, Harvard University, Cambridge, MA, 02138, USA. amcavoy@sas.upenn.edu.

Journal of Mathematical Biology
|February 3, 2021
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Summary
This summary is machine-generated.

Calculating the success of a new trait (fixation probability) is complex. This study simplifies calculations for weak selection, reducing computational complexity for evolutionary dynamics.

Keywords:
91A2292D15

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Area of Science:

  • Evolutionary dynamics
  • Population genetics
  • Mathematical biology

Background:

  • The fixation probability quantifies a mutant trait's success in a population.
  • Calculating fixation probability is computationally challenging due to factors like population structure and mating patterns.
  • Weak selection, where mutations have small effects, is a common scenario in evolutionary processes.

Purpose of the Study:

  • To develop a computationally tractable method for calculating fixation probability under weak selection.
  • To provide a general framework applicable to various stochastic evolutionary models with arbitrary population structures.
  • To reduce the complexity of determining selection's favorability towards a trait from exponential to polynomial in population size.

Main Methods:

  • Derivation of a weak-selection perturbation expansion for fixation probability.
  • Application of the expansion to arbitrary initial configurations of mutant and resident types.
  • Analysis of stochastic evolutionary models with fixed, arbitrary population sizes and spatial structures.

Main Results:

  • A novel perturbation expansion for fixation probability under weak selection was obtained.
  • The method applies to a wide range of stochastic evolutionary models.
  • Computational complexity for determining trait favorability is reduced to polynomial in population size.

Conclusions:

  • The developed methods simplify the analysis of evolutionary dynamics, particularly under weak selection.
  • New insights into evolutionary dynamics on graphs were achieved using these methods.
  • This approach offers a powerful tool for studying trait evolution in complex populations.