PMID: 11607322Sep 1, 1992Paper

Rate of evolution of a quantitative character

Proceedings of the National Academy of Sciences of the United States of America
T Nagylaki

Abstract

The rate of change of the mean of a quantitative character is evaluated exactly and also under the hypothesis of linear biparental regression. Generations are discrete and nonoverlapping; the monoecious population mates at random. The genotypic and environmental contributions to the character are additive and stochastically independent. The character is influenced by arbitrarily many multiallelic loci and has constant genotypic values; dominance, epistasis, and the linkage map are also arbitrary. The population is initially in linkage equilibrium, and there is no position effect. If the biparental regression is linear, then the regression coefficient is simply Vgam/V, and hence the single-generation change in the mean is deltaZ = (Vgam/V)S, where Vgam and V denote the gametic and total variances in the character and S designates the selection differential. The corresponding exact result is DeltaZ = (C/W) + (B/W2), where C, W and B represent the gametic covariance of the character and fitness, the mean fitness, and a correction term, respectively. If selection is weak, then DeltaZ approximately C/W. Furthermore, deltaZ = C/W if either there is no environmental contribution and the gametic effects are additive or the character is...Continue Reading

References

Dec 1, 1978·Proceedings of the National Academy of Sciences of the United States of America·M Kimura, J F Crow
Mar 15, 1991·Proceedings of the National Academy of Sciences of the United States of America·T Nagylaki
Jan 1, 1990·Journal of Mathematical Biology·A Hastings
Jan 1, 1989·Annual Review of Genetics·N H Barton, M Turelli
Mar 1, 1989·Proceedings of the National Academy of Sciences of the United States of America·T Nagylaki

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Citations

Feb 8, 2006·Journal of Mathematical Biology·J R MillerM B Hamilton
Aug 17, 2004·Proceedings of the National Academy of Sciences of the United States of America·Michael Sela, Edna Mozes
Aug 6, 2013·Studies in History and Philosophy of Biological and Biomedical Sciences·Marshall Abrams
Mar 8, 2012·Theoretical Population Biology·Linlin Su, Roger Lui
Aug 12, 2009·Theoretical Population Biology·Reinhard Bürger
Mar 3, 2009·Theoretical Population Biology·Sabin Lessard, Philippe Lahaie
Feb 22, 2008·Virus Research·Javier Martinez-Picado, Miguel Angel Martínez
Feb 26, 2008·Journal of Theoretical Biology·Hisashi Ohtsuki, Martin A Nowak
Jan 7, 2006·Evolution; International Journal of Organic Evolution·John S Heywood
Apr 22, 2008·Journal of Evolutionary Biology·R Lande
Jan 22, 2009·Evolution; International Journal of Organic Evolution·Sylvain Gandon, Troy Day
Apr 24, 2012·Evolution; International Journal of Organic Evolution·Alexey Yanchukov, Stephen Proulx
Nov 17, 2009·Molecular Ecology·K Ryo Takahasi
Dec 5, 2013·Evolution; International Journal of Organic Evolution·Thomas F Hansen
Nov 25, 2004·Theoretical Population Biology·Amit PuniyaniMarcus W Feldman
Aug 2, 2011·Theoretical Population Biology·Reinhard Bürger, Ada Akerman
Sep 19, 2006·Journal of Theoretical Biology·Laurent LehmannHanna Kokko
Oct 26, 2005·Journal of Theoretical Biology·Sergey Gavrilets
Aug 27, 2005·Theoretical Population Biology·Ashley J R CarterThomas F Hansen
Jun 18, 2015·Evolution; International Journal of Organic Evolution·Laurent LehmannJörgen Weibull
Jun 22, 2010·Theoretical Population Biology·Reinhard Bürger
Nov 9, 2001·Annual Review of Genetics·J BergelsonJ J Emerson
Jan 1, 1996·Journal of Mathematical Biology·T Nagylaki
Sep 12, 1998·Theoretical Population Biology·A Gimelfarb
Jul 29, 1998·Theoretical Population Biology·R Fan, K Lange
Dec 28, 2010·Theoretical Population Biology·Sebastian Novak
May 6, 2014·Theoretical Population Biology·Ada Akerman, Reinhard Bürger
Dec 3, 2014·Journal of Theoretical Biology·Xinzhu WeiDavid Waxman
Mar 7, 2002·Theoretical Population Biology·F J Weissing, M van Boven
Mar 7, 2002·Theoretical Population Biology·M van Boven, F J Weissing
May 18, 1999·Theoretical Population Biology·K Takahasi
Aug 9, 2016·Theoretical Population Biology·Mitchell G NewberryJoshua B Plotkin
Nov 20, 2016·Evolution; International Journal of Organic Evolution·Masato Yamamichi, Masaki Hoso
Mar 10, 2017·PLoS Computational Biology·Mauricio González-ForeroLaurent Lehmann
Nov 7, 2006·Bulletin of Mathematical Biology·Jukka CoranderTimo Koski
Jun 27, 2017·Journal of Theoretical Biology·Hassan Shafiey, David Waxman
Nov 12, 2013·G3 : Genes - Genomes - Genetics·Bahram Houchmandzadeh

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