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Complexity and diversity.

Michael Doebeli1, Iaroslav Ispolatov

  • 1Department of Zoology, University of British Columbia, 6270 University Boulevard, Vancouver, BC V6T 1Z4, Canada. doebeli@zoology.ubc.ca

Science (New York, N.Y.)
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PubMed
Summary
This summary is machine-generated.

Frequency-dependent selection can maintain biological diversity. Complex interactions among multiple traits in high-dimensional phenotype spaces relax conditions for this process, making it easier to generate and maintain biodiversity.

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Area of Science:

  • Evolutionary Biology
  • Theoretical Ecology
  • Population Genetics

Background:

  • The mechanisms driving the origin and maintenance of biological diversity remain incompletely understood.
  • Frequency-dependent selection, favoring rare variants, is a known mechanism for maintaining genetic variation and promoting speciation.
  • Previous models indicated that strong frequency dependence is required to generate diversity in simple, low-dimensional phenotype spaces.

Purpose of the Study:

  • To investigate how complex interactions among multiple traits influence the conditions for frequency-dependent selection to generate biological diversity.
  • To explore the role of high-dimensional phenotype spaces in facilitating diversity maintenance via frequency-dependent selection.

Main Methods:

  • Theoretical modeling of frequency-dependent selection in ecological contexts.
  • Analysis of mathematical properties, specifically eigenvalues of quadratic forms, related to complex trait interactions.
  • Examination of phenotype spaces with high dimensionality, reflecting the complexity of real organisms.

Main Results:

  • When ecological properties depend on multiple interacting traits (high-dimensional phenotype spaces), the conditions for frequency-dependent selection to generate diversity are significantly relaxed.
  • These relaxed conditions are readily met in high-dimensional phenotype spaces, suggesting a broader applicability of frequency dependence.
  • The mathematical basis for this phenomenon is linked to the properties of eigenvalues governing quadratic forms in complex trait interactions.

Conclusions:

  • Complex interactions among numerous traits in high-dimensional phenotype spaces enhance the potential for frequency-dependent selection to drive biological diversity.
  • This finding re-evaluates the significance of frequency dependence in the origin and maintenance of biodiversity across all living organisms.
  • The study highlights the importance of considering trait complexity and dimensionality in evolutionary and ecological models.