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arXiv · 2502.05062

Stochastic neutral fractions and the effective population size

Raphaël Forien·Emmanuel Schertzer·Zsófia Talyigás·Julie Tourniaire
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Abstract

The dynamics of a general structured population is modelled using a general stochastic differential equation (SDE) with an infinite decomposability property. This property allows the population to be divided into an arbitrary number of allelic components, also known as stochastic neutral fractions. When demographic noise is small, a fast-slow principle provides a general formula for the effective population size in structured populations. To illustrate this approach, we revisit several examples from the literature, including expansion fronts.

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Raphaël Forien, Emmanuel Schertzer, Zsófia Talyigás, Julie Tourniaire. 2025-02-07. Stochastic neutral fractions and the effective population size. https://arxiv.org/abs/2502.05062

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