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Stepwise mutation model and distribution of allelic frequencies in a finite population.
Open accessAbstract
A mathematical theory is developed that enables us to derive a formula for the equilibrium distribution of allelic frequencies in a finite population when selectively neutral alleles are produced in stepwise fashion (stepwise mutation model). It is shown that the stepwise mutation model has a remarkable property that distinguishes it from the conventional infinite allele model (Kimura-Crow model): as the population size increases indefinitely while the product of the effective population size and the mutation rate is kept at a fixed value, the mean number of different alleles contained in the population rapidly reaches a plateau which is not much larger than the effective number of alleles (reciprocal of homozygosity).
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Cited by
The estimation of population differentiation with microsatellite markers
Balloux, F., & Lugon‐Moulin, N. (2002) · Molecular Ecology · doi:10.1046/j.0962-1083.2001.01436.x · Cited by 1,208
Shriver, M. D., Jin, L., Chakraborty, R., & Boerwinkle, E. (1993) · Genetics · doi:10.1093/genetics/134.3.983 · Cited by 314
Lucchini, V., Galov, A., & Randi, E. (2004) · Molecular Ecology · doi:10.1046/j.1365-294x.2004.02077.x · Cited by 132
Mendez, F. L., Karafet, T. M., Krahn, T., Ostrer, H., Soodyall, H., & Hammer, M. F. (2011) · Human Biology · doi:10.3378/027.083.0103 · Cited by 60
Metadata
- Authors
- Kimura, M., & Ohta, T.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 1978-06
- Volume
- 75
- Issue
- 6
- Pages
- 2868-2872
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W1996468809
- Cited by
- 540
- References
- 0
- FWCI
- 1.14
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Stepwise mutation model and distribution of allelic frequencies in a finite population. https://app.cochat.ai/papers/10.1073/pnas.75.6.2868
- The paper
- Kimura, M., & Ohta, T. (1978). Stepwise mutation model and distribution of allelic frequencies in a finite population. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.75.6.2868
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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