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Evolutionary branching in distorted trait spaces.

Hiroshi C Ito1, Akira Sasaki2

  • 1Department of Evolutionary Studies of Biosystems, The Graduate University for Advanced Studies, SOKENDAI, Hayama, Kanagawa 240-0193, Japan.

Journal of Theoretical Biology
|January 12, 2020
PubMed
Summary
This summary is machine-generated.

Biological evolution can occur in complex, distorted trait spaces where mutation patterns change. This study reveals how these distortions impact evolutionary branching, a key driver of biodiversity.

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Area of Science:

  • Evolutionary Biology
  • Theoretical Ecology
  • Quantitative Genetics

Background:

  • Biological communities evolve within multi-dimensional trait spaces.
  • These trait spaces can be distorted, meaning mutation patterns (mutational covariance matrices) depend on parental traits.
  • Such distortions can influence both directional and diversifying evolutionary processes.

Purpose of the Study:

  • To analytically develop conditions for evolutionary branching in distorted trait spaces.
  • To investigate how trait space distortions affect evolutionary branching, a form of diversifying evolution.
  • To explore evolutionary dynamics in arbitrary dimensions under non-constant mutational covariance.

Main Methods:

  • Employed a local nonlinear coordinate transformation to simplify the mutational covariance matrix.
  • Analyzed the conditions for evolutionary branching in distorted trait spaces using adaptive dynamics theory.
  • Investigated the impact of varying mutational step sizes across different trait directions.

Main Results:

  • Derived analytical conditions for evolutionary branching in distorted, multi-dimensional trait spaces.
  • Demonstrated that evolutionary branching conditions are sensitive to trait space distortions.
  • Found that significant differences in the eigenvalues of the mutational covariance matrix amplify distortion effects.

Conclusions:

  • Trait space distortion, characterized by parent-dependent mutational covariance, significantly influences evolutionary branching.
  • The developed conditions provide a framework for understanding diversification in complex evolutionary landscapes.
  • Understanding these distortions is crucial for predicting the trajectory of biological evolution and biodiversity.