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Neutral Genetic Patterns for Expanding Populations with Nonoverlapping Generations.

Nathan G Marculis1, Roger Lui2, Mark A Lewis3,4

  • 1Department of Mathematical and Statistical Sciences, Centre for Mathematical Biology, University of Alberta, Edmonton, AB, T6G 2G1, Canada. marculis@ualberta.ca.

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Summary
This summary is machine-generated.

Range expansion dynamics reveal genetic consequences. Pulled fronts mimic the founder effect, while Allee effects preserve genetic diversity during population spread.

Keywords:
Allee effectFounder effectIntegrodifference equationsNeutral genetic diversityRange expansionTraveling wave

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Area of Science:

  • Ecology
  • Population Genetics
  • Mathematical Biology

Background:

  • Understanding population range expansion is crucial for predicting genetic consequences.
  • Integrodifference equations model populations with nonoverlapping generations and spatial structure.

Purpose of the Study:

  • To investigate the internal genetic dynamics during population range expansion.
  • To classify traveling wave solutions and their impact on genetic diversity.

Main Methods:

  • Decomposing solutions into neutral genetic components to analyze internal dynamics.
  • Analyzing spatiotemporal evolution of these components under various growth functions and dispersal kernels.
  • Classifying traveling wave solutions as pushed or pulled fronts.

Main Results:

  • Pulled fronts correspond to the founder effect in population genetics.
  • Overcompensation in growth dynamics does not alter genetic diversity during expansion.
  • Allee effects result in pushed fronts, preserving genetic variation.

Conclusions:

  • The type of traveling wave front (pushed vs. pulled) significantly influences genetic diversity during range expansion.
  • A simple formula can predict genetic contribution in pushed front scenarios based on initial conditions and spread speed.