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A simple model for the balance between selection and mutation
Abstract
A model for the variation in time of the fitness distribution in a large haploid population is shown to have simple limiting properties which can be elucidated in fairly explicit terms. The novel feature is that mutation is not assumed to cause a small perturbation in fitness but to bring down the evolutionary ‘house of cards’. A threshold phenomenon appears: if a certain inequality holds the limiting distribution is a skewed version of the mutant fitness distribution, but otherwise an atom of probability builds up at the upper limit of fitness.
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Citations
Cited by
The Nearly Neutral Theory of Molecular Evolution
Ohta, T. (1992) · Annual Review of Ecology and Systematics · doi:10.1146/annurev.es.23.110192.001403 · Cited by 1,149
Empirical fitness landscapes and the predictability of evolution
de Visser, J. A. G. M., & Krug, J. (2014) · Nature Reviews Genetics · doi:10.1038/nrg3744 · Cited by 715
Pennell, M. W., & Harmon, L. J. (2013) · Annals of the New York Academy of Sciences · doi:10.1111/nyas.12157 · Cited by 255
BARTON, N. H. (1999) · Genetical Research · doi:10.1017/s001667239900422x · Cited by 181
Metadata
- Authors
- Kingmán, J. F. C.
- Venue
- Journal of Applied Probability
- Publisher
- Cambridge University Press
- Published
- 1978-03-01
- Volume
- 15
- Issue
- 01
- Pages
- 1-12
- ISSN
- 0021-9002 (ISSN-L)
- OpenAlex
- W1970111538
- Cited by
- 270
- References
- 0
- FWCI
- 0.29
- Type
- journal article
- Language
- en
- Open access
- closed
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
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- CoChat. (2026). Citation check: A simple model for the balance between selection and mutation. https://app.cochat.ai/papers/10.1017/s0021900200105534
- The paper
- Kingmán, J. F. C. (1978). A simple model for the balance between selection and mutation. Journal of Applied Probability. https://doi.org/10.1017/s0021900200105534
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
