Stochastic neutral fractions and the effective population size
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912722595086336 |
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| author | Forien, Raphaël Schertzer, Emmanuel Talyigás, Zsófia Tourniaire, Julie |
| author_facet | Forien, Raphaël Schertzer, Emmanuel Talyigás, Zsófia Tourniaire, Julie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05062 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic neutral fractions and the effective population size Forien, Raphaël Schertzer, Emmanuel Talyigás, Zsófia Tourniaire, Julie Probability Populations and Evolution 60H10, 60J60, 60J70 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. |
| title | Stochastic neutral fractions and the effective population size |
| topic | Probability Populations and Evolution 60H10, 60J60, 60J70 |
| url | https://arxiv.org/abs/2502.05062 |