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Published on: June 1, 2022
Stochastic spread of Wolbachia
Vincent A A Jansen1, Michael Turelli, H Charles J Godfray
1School of Biological Sciences, Royal Holloway, University of London, Egham, Surrey TW20 0EX, UK.
Proceedings. Biological Sciences
|August 30, 2008
Summary
Wolbachia bacteria spread through insect populations via cytoplasmic incompatibility (CI), giving infected females a reproductive advantage. Stochastic modeling helps predict Wolbachia spread and potential use in pest control.
Area of Science:
- Microbiology
- Population Genetics
- Evolutionary Biology
Background:
- Wolbachia are common insect endosymbionts.
- Cytoplasmic incompatibility (CI) drives Wolbachia spread by reducing egg hatch in uninfected females.
- Infected females often have a reproductive advantage.
Purpose of the Study:
- To model the probability of Wolbachia fixation in insect populations.
- To analyze the impact of population size and initial frequency on Wolbachia spread.
- To evaluate the role of stochastic effects in Wolbachia dynamics.
Main Methods:
- Deterministic and stochastic modeling approaches were employed.
- Exact results were derived using a Moran process.
- Approximate results were obtained using Wright-Fisher theory.
- A new analytical approximation for fixation probability was developed.
Main Results:
- Deterministic models predict a threshold frequency for Wolbachia spread.
- Stochastic models quantify fixation probability across population sizes.
- A new approximation improves predictions for small populations.
- Stochastic effects are significant for Wolbachia spread dynamics.
Conclusions:
- Wolbachia spread is influenced by population size and initial frequency.
- Stochastic effects are crucial for understanding Wolbachia dynamics.
- Accurate modeling is vital for Wolbachia-based pest management strategies.
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