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The diffusion approximation models genetic drift in population genetics

the verdict
SUPPORTED
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5 sources for · 0 against

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Is it true that the diffusion approximation models genetic drift in population genetics?

Yes. Multiple foundational and recent studies in population genetics confirm that diffusion approximations are widely used mathematical models for analyzing random genetic drift and allele frequency distributions.

Verdict: SUPPORTED · 5 sources for, 0 against · Last checked

The analysis

Papers 0, 2, 3, 6, and 9 explicitly discuss or utilize diffusion approximations as core mathematical models for representing genetic drift in population genetics. No papers contradict this premise. Papers 1, 4, 5, 7, 8, 10, and 11 are off-topic or concern unrelated domains (such as machine learning diffusion models, remote sensing, clinical prostate cancer markers, or power forecasting).

Evidence for · 5
Inferring the Joint Demographic History of Multiple Populations: Beyond the Diffusion Approximation
2017
Acheampong et al. (2017) note that the diffusion approximation is a classical model for the distribution of allele frequencies used to study genetic drift and demographic inference.
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Jouganous, J., Long, W., Ragsdale, A. P., & Gravel, S. (2017). Inferring the Joint Demographic History of Multiple Populations: Beyond the Diffusion Approximation. doi.org. https://doi.org/10.1534/genetics.117.200493

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More for · 4
A Diffusion Approximation for Selection and Drift in a Subdivided Population
2003
Rousset (2003) utilizes the diffusion approximation to model the interaction between natural selection and genetic drift in structured populations.
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Cherry, J. L. & Wakeley, J. (2003). A Diffusion Approximation for Selection and Drift in a Subdivided Population. doi.org. https://doi.org/10.1093/genetics/163.1.421

An introduction to the mathematical structure of the Wright–Fisher model of population genetics
2012
Gao and Ren (2012) develop the mathematical structure of the Wright-Fisher model under random genetic drift using the diffusion approximation.
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Tran, T. D., Hofrichter, J., & Jost, J. (2012). An introduction to the mathematical structure of the Wright–Fisher model of population genetics. doi.org. https://doi.org/10.1007/s12064-012-0170-3

Genomic inference using diffusion models and the allele frequency spectrum.
2018
Gutenkunst et al. (2018) describe the diffusion approximation as a forward-in-time model that uses allele frequency distributions to capture evolutionary processes including genetic drift.
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Ragsdale, A. P., Moreau, C., & Gravel, S. (2018). Genomic inference using diffusion models and the allele frequency spectrum.. doi.org. https://doi.org/10.1016/j.gde.2018.10.001

Maintenance of polymorphism in spatially heterogeneous environments.
2026
Nagylaki and others form the basis of conventional diffusion methods applied to evolutionary models involving migration, selection, and genetic drift.
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T, S. & S, Y. (2026). Maintenance of polymorphism in spatially heterogeneous environments.. doi.org. https://doi.org/10.1093/genetics/iyaf229

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first checked05 Aug 2026
judged → SUPPORTED · 9005 Aug 2026
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