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Embryo Rescue Protocol for Interspecific Hybridization in Squash
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Modelling competition between hybridising subspecies.

Nicholas J Beeton1, Geoffrey R Hosack1, Andrew Wilkins2

  • 1CSIRO, 3 Castray Esplanade, Battery Point, TAS 7004, Australia.

Journal of Theoretical Biology
|November 11, 2019
PubMed
Summary
This summary is machine-generated.

Environmental changes are forcing subspecies to interact, leading to hybridization concerns. Mathematical modeling shows that while one subspecies may dominate, coexistence is possible, especially with fluctuating resources.

Keywords:
Climate changeDynamical systems analysisInvasive speciesLotka-VolterraMate choice

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Area of Science:

  • Ecology and Evolutionary Biology
  • Mathematical Modeling
  • Conservation Biology

Background:

  • Geographic niches are shifting due to climate change and invasive species, leading to increased interbreeding between previously separated subspecies.
  • Hybridization poses risks to conservation efforts for rare subspecies and can impact commercial species quality and disease ecology.

Purpose of the Study:

  • To develop and analyze a mathematical model combining interspecific competition (Lotka-Volterra) with hybridization dynamics (mate choice).
  • To investigate the potential outcomes of subspecies interactions, including extinction, dominance, and coexistence.

Main Methods:

  • A mathematical model was formulated with two classes: a subspecies of interest (x) and other subspecies/hybrids (y).
  • Analysis focused on equilibrium states, stability conditions, and bifurcation behavior under various parameter values.
  • The model incorporated competitive effects and mate choice to simulate hybridization.

Main Results:

  • The model identified four possible equilibrium outcomes: total extinction, x-dominance, y-dominance, and coexistence.
  • Y-dominance (where the subspecies of interest goes extinct) was found to be always stable, while total extinction was unstable.
  • Both x-dominance and coexistence are achievable, with coexistence becoming more likely under time-varying carrying capacities.

Conclusions:

  • The study demonstrates that hybridization dynamics significantly influence subspecies interactions and population outcomes.
  • Subcritical bifurcations can lead to sudden shifts from subspecies dominance to hybrid dominance, akin to invasion events.
  • Understanding these dynamics is crucial for effective conservation and management strategies in changing environments.