DOI: 10.1017/s001667230001329x. Natural selection with varying selection coefficients

Natural selection with varying selection coefficients – a haploid model

10.1017/s001667230001329x

Crossref journal-article

Hindawi Limited

Genetical Research (98)

Abstract

SUMMARYIn this paper an exact treatment is given for the stochastic behaviour of the frequency of haploid genotypes in an infinite population when the absolute fitnesses of the two genotypes vary at random over generations. The main qualitative result from this treatment is that natural selection will favour that allele with the largest geometric mean fitness. A diffusion equation is derived whose solution is identical to the exact solution. The drift coefficient for this equation is of the form − μp(1 −p) + σ2(½ −p)p(l −p). This differs from the drift coefficient used in previous treatments of this problem and reduces the rate of quasi-fixation. Various waiting time problems are solved using this diffusion equation.

Bibliography

Gillespie, J. H. (1973). Natural selection with varying selection coefficients â a haploid model. Genetical Research, 21(2), 115â120.

Authors 1

J. H. Gillespie (first)

References 5 Referenced 141

10.1016/0040-5809(72)90001-9
10.1101/SQB.1955.020.01.005
10.1093/genetics/39.3.280 / Genetics / Processes leading to quasi-fixation of genes in natural populations due to random fluctuations in selection intensities by Kimura (1954)
10.1101/SQB.1955.020.01.006
{'key': 'S001667230001329X_ref001', 'volume-title': 'An Introduction to Population Genetics Theory', 'author': 'Crow', 'year': '1970'} / An Introduction to Population Genetics Theory by Crow (1970)

Dates

Type	When
Created	15 years, 11 months ago (Sept. 17, 2009, 3:50 a.m.)
Deposited	3 years, 10 months ago (Oct. 10, 2021, 6:51 p.m.)
Indexed	11 months, 2 weeks ago (Sept. 14, 2024, 12:27 a.m.)
Issued	52 years, 4 months ago (April 1, 1973)
Published	52 years, 4 months ago (April 1, 1973)
Published Online	16 years, 4 months ago (April 14, 2009)
Published Print	52 years, 4 months ago (April 1, 1973)

Funders 0

None

BibTeX

@article{Gillespie_1973, title={Natural selection with varying selection coefficients – a haploid model}, volume={21}, ISSN={1469-5073}, url={http://dx.doi.org/10.1017/s001667230001329x}, DOI={10.1017/s001667230001329x}, number={2}, journal={Genetical Research}, publisher={Hindawi Limited}, author={Gillespie, J. H.}, year={1973}, month=apr, pages={115–120} }

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