Cited by 1,326Evolution and Genetic DynamicsMathematical and Theoretical Epidemiology and Ecology ModelsStochastic processes and statistical mechanics

A Mathematical Theory of Natural and Artificial Selection, Part V: Selection and Mutation

Haldane, J. B. S.·1927·Mathematical Proceedings of the Cambridge Philosophical Society

Abstract

New factors arise in a species by the process of mutation. The frequency of mutation is generally small, but it seems probable that it can sometimes be increased by changes in the environment (1,2). On the whole mutants recessive to the normal type occur more commonly than dominants. The frequency of a given type of mutation varies, but for some factors in Drosophila it must be less than 10 −6 , and is much less in some human cases. We shall first consider initial conditions, when only a few of the new type exist as the result of a single mutation; and then the course of events in a population where the new factor is present in such numbers as to be in no danger of extinction by mere bad luck. In the first section the treatment of Fisher (3) is followed.

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Crossref · 10.1017/s0305004100015644

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  • Haldane computed that a variant resulting in a mere 1% fitness advantage would increase in population frequency from 0.1% to 99.9% in just over 4,000 generations.

    “Haldane (1927) computed that a variant resulting in a mere 1% in fitness would increase in population frequency from 0.1% to 99.9% in just over 4,000 generations, a time span that fits easily into hominin evolution, or even into the evolution of our own genus, Homo.”

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Authors
Haldane, J. B. S.
Corresponding author
Haldane, J. B. S.
Venue
Mathematical Proceedings of the Cambridge Philosophical Society
Published
1927-07
Volume
23
Issue
7
Pages
838-844
ISSN
  • 0305-0041 (ISSN-L)
  • 1469-8064
OpenAlex
W2106756635
Cited by
1,326
References
4
Citations by year
2026: 46 · 2025: 32 · 2024: 66 · 2023: 45 · 2022: 39 · 2021: 59 · 2020: 41 · 2019: 39 · 2018: 40 · 2017: 55 · 2016: 41 · 2015: 60 · 2014: 48 · 2013: 44 · 2012: 53
FWCI
0.00
Type
journal article
Language
en
Open access
closed
Locations
Mathematical Proceedings of the Cambridge Philosophical Society (publishedVersion)
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
  • Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
  • Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
Keywords
natural selection, selective breeding, genetic mutations, mutation rate, recessive mutants, dominant mutant, population genetics, Drosophila, population extinction

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