Fisher's geometrical model of evolutionary adaptation-Beyond spherical geometry

Journal of Theoretical Biology

Volumn 241, Issue 4, 2006, Pages 887-895

  Waxman, D ^a  

^a UNIVERSITY OF SUSSEX   (United Kingdom)

Author keywords

Evolutionary adaptation; Fisher's geometrical model; Mutation; Quantitative traits; Stabilizing selection

Indexed keywords

ADAPTATION; EVOLUTIONARY BIOLOGY; GEOMETRY; MODELING; MUTATION; PHENOTYPE; SELECTION;

ARTICLE; EVOLUTIONARY ADAPTATION; FISHER GEOMETRICAL MODEL; GENETIC CORRELATION; GENETIC VARIABILITY; GEOMETRY; MUTATIONAL ANALYSIS; NATURAL SELECTION; PHENOTYPE; PRIORITY JOURNAL; QUANTITATIVE TRAIT; THEORETICAL MODEL;

ADAPTATION, PHYSIOLOGICAL; ANIMALS; EVOLUTION; MODELS, GENETIC; MUTATION; QUANTITATIVE TRAIT, HERITABLE; SELECTION (GENETICS);

EID: 33746097735     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.01.024     Document Type: Article

References (24)

1. Abramowitz M., and Stegun I. Handbook of Mathematical Functions (1970), Dover Publications, New York
2. Barton N.H. The role of hybridization in evolution. Mol. Ecol. 10 (2001) 551-568
3. Burch C.L., and Chao L. Evolution by small steps and rugged landscapes in the RNA virus phi6. Genetics 151 (1999) 921-927
4. Fisher R.A. The Genetical Theory of Natural Selection (1930), Oxford University Press, Oxford
5. Haldane J.B.S. The Causes of Evolution (1932), Longmans & Green, London
6. Hartl D., and Taubes C.H. Compensatory nearly neutral mutations: selection without adaptation. J. Theor. Biol. 182 (1996) 303-309
7. Hartl D., and Taubes C.H. Towards a theory of evolutionary adaptation. Genetica 102/103 (1998) 525-533
8. Keightley, P.D., Ohnishi, O., 1998. EMS-induced polygenic mutation rates for nine quantitative characters in Drosophila melanogaster. Genetics 148, 753-766.
9. Kimura M. The Neutral Theory of Molecular Evolution (1983), Cambridge University Press, Cambridge, MA
10. Mackay T.F.C. The nature of quantitative genetic-variation revisited-lessons from Drosophila bristles. Bioessays 18 (1996) 113-121
11. Martin, G., Lenormand, T. A general multivariate extension of Fisher's geometrical model and the distribution of mutation fitness effects across species, Evolution, in press.
12. Orr H.A. The population genetics of adaptation: the distribution of factors fixed during adaptive evolution. Evolution 52 (1998) 935-949
13. Orr H.A. The evolutionary genetics of adaptation: a simulation study. Genet. Res. 74 (1999) 207-214
14. Orr H.A. Adaptation and the cost of complexity. Evolution 54 (2000) 13-20
15. Peck J.R., Barreau G., and Heath S.C. Imperfect genes, Fisherian mutation and the evolution of sex. Genetics 145 (1997) 1171-1199
16. Poon A., and Otto S.P. Compensating for our load of mutations: freezing the meltdown of small populations. Evolution 54 (2000) 1467-1479
17. Rice S.H. A geometric model for the evolution of development. J. Theor. Biol. 143 (1990) 319-342
18. Santiago E., Albornoz J., Dominguez A., Toro M.A., and Lopez C. The distribution of spontaneous mutations on quantitative traits and fitness in Drosophila melanogaster. Genetics 132 (1992) 771-781
19. Strang G. Linear Algebra and its Applications. third ed (1988), Saunders, Philadelphia, PA p. 259
20. Waxman D., and Peck J.R. The anomalous effects of biased mutation. Genetics 164 (2003) 1615-1626
21. Waxman D., and Peck J.R. A one locus, biased mutation model and its equivalence to an unbiased model. BioSystems 78 (2004) 93-98
22. Waxman D., and Welch J.J. Fisher's microscope and Haldane's ellipse. Am. Nat. 166 (2005) 447-457
23. Welch J.J., and Waxman D. Modularity and the cost of complexity. Evolution 57 (2003) 1723-1734
24. Whitlock M.C., Griswold C.K., and Peters A.D. Compensating for the meltdown: the critical effective size of a population with deleterious and compensatory mutations. Ann. Zool. Fenn. 40 (2003) 169-183