# Haldane’s formula in Cannings models: the case of moderately strong selection

@article{Boenkost2021HaldanesFI, title={Haldane’s formula in Cannings models: the case of moderately strong selection}, author={Florin Boenkost and Adri{\'a}n Gonz{\'a}lez Casanova and Cornelia Pokalyuk and A. Wakolbinger}, journal={Journal of Mathematical Biology}, year={2021}, volume={83} }

For a class of Cannings models we prove Haldane’s formula, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pi (s_N) \sim \frac{2s_N}{\rho ^2}$$\end{document}π(sN)∼2sNρ2, for the fixation probability of a single beneficial mutant in the limit of large population size N and in the regime of moderately strong…

## 3 Citations

Haldane’s formula in Cannings models: the case of moderately weak selection

- MathematicsElectronic Journal of Probability
- 2021

We introduce a Cannings model with directional selection via a paintbox construction and establish a strong duality with the line counting process of a new Cannings ancestral selection graph in…

Extinction threshold and large population limit of a plant metapopulation model with recurrent extinction events and a seed bank component.

- Environmental ScienceTheoretical population biology
- 2022

Asymptotic genealogies for a class of generalized Wright–Fisher models

- MathematicsModern Stochastics: Theory and Applications
- 2021

We study a class of Cannings models with population size N having a mixed multinomial offspring distribution with random success probabilities W1, . . . ,WN induced by independent and identically…

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Haldane’s formula in Cannings models: the case of moderately weak selection

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We introduce a Cannings model with directional selection via a paintbox construction and establish a strong duality with the line counting process of a new Cannings ancestral selection graph in…

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