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Genetic Variance–covariance Matrices: A Critique of the Evolutionary Quantitative Genetics Research Program

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Abstract

This paper outlines a critique of the use of the genetic variance–covariance matrix (G), one of the central concepts in the modern study of natural selection and evolution. Specifically, I argue that for both conceptual and empirical reasons, studies of G cannot be used to elucidate so-called constraints on natural selection, nor can they be employed to detect or to measure past selection in natural populations – contrary to what assumed by most practicing biologists. I suggest that the search for a general solution to the difficult problem of identifying causal structures given observed correlation’s has led evolutionary quantitative geneticists to substitute statistical modeling for the more difficult, but much more valuable, job of teasing apart the many possible causes underlying the action of natural selection. Hence, the entire evolutionary quantitative genetics research program may be in need of a fundamental reconsideration of its goals and how they correspond to the array of mathematical and experimental techniques normally employed by its practitioners.

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References

  • S.J. Arnold P.C. Phillips (1999) ArticleTitleHierarchical comparison of genetic variance–covariance matrices. II. Coastal-inland divergence in the garter snakeThamnophis elegans Evolution 53 1516–1527

    Google Scholar 

  • N.H. Barton M. Turelli (1989) ArticleTitleEvolutionary quantitative genetics: how little do we know? Annu. Rev. Genet. 23 337–370

    Google Scholar 

  • M. Begin D.A. Roff (2001) ArticleTitleAn analysis of G matrix variation in two closely related cricket species, Gryllus firmus and G. pennsylvanicus J. Evol. Biol. 14 1–13 Occurrence Handle10.1046/j.1420-9101.2001.00258.x

    Article  Google Scholar 

  • A.D. Bradshaw (1965) ArticleTitleEvolutionary significance of phenotypic plasticity in plants Adv. Genet. 13 115–155

    Google Scholar 

  • E.D. Brodie SuffixIII (1993) ArticleTitleHomogeneity of the genetic variance–covariance matrix for antipredator traits in two natural populations of the garter snake Thamnophis ordinoides Evolution 47 844–854

    Google Scholar 

  • J.M. Cheverud (1984) ArticleTitleQuantitative genetics and developmental constraints on evolution by selection J. Theor. Biol. 110 155–171

    Google Scholar 

  • J.M. Cheverud (1988) The evolution of genetic correlation and developmental constraints G.D. Jong (Eds) Population Genetics and Evolution Springer-Verlag Berlin 94–101

    Google Scholar 

  • C.E. Cleland (2002) ArticleTitleMethodological and epistemic differences between historical science and experimental science Philos. Sci. 69 474–496 Occurrence Handle10.1086/342455

    Article  Google Scholar 

  • J.K. Conner (2002) ArticleTitleGenetic mechanisms of floral trait correlations in a natural population Nature 420 407–410 Occurrence Handle10.1038/nature01105

    Article  Google Scholar 

  • D.E. Cowley W. Atchley (1992) ArticleTitleComparison of quantitative genetic parameters Evolution 46 1965–1966

    Google Scholar 

  • Downes S.M. 2004. Heredity and heritability. In: Stanford Encyclopedia of Philosophy, plato.stanford.edu. Stanford University, Stanford, CA, pp. plato.stanford.edu/entries/heredity.

  • D.S. Falconer T.F.C. Mackay (1996) Introduction to Quantitative Genetics Prentice Hall Harlow, England

    Google Scholar 

  • M.H. Gromko (1995) ArticleTitleUnpredictability of correlated response to selection: pleiotropy and sampling interact Evolution 49 685–693

    Google Scholar 

  • D.L. Hartl A.G. Clark (1989) Principles of Population Genetics Sinauer Sunderland, MA

    Google Scholar 

  • A.A. Hoffmann R. Hallas C. Sinclair L. Patridge (2001) ArticleTitleRapid loss of stress resistance in Drosophila melanogaster under adaptation to laboratory culture Evolution 55 436–438

    Google Scholar 

  • D. Houle (1991) ArticleTitleGenetic covariance of fitness correlates: what genetic correlations are made of and why it matters Evolution 45 630–648

    Google Scholar 

  • J.B. Johnson (2002) ArticleTitleDivergent life histories among populations of the fish Brachyrhaphis rhabdophora: detecting putative agents of selection by candidate model analysis Oikos 96 82–91 Occurrence Handle10.1034/j.1600-0706.2002.960109.x

    Article  Google Scholar 

  • N.A. Johnson A.H. Porter (2001) ArticleTitleToward a new synthesis: population genetics and evolutionary developmental biology Genetica 112–113 45–58

    Google Scholar 

  • K. Karoly J.K. Conner (2000) ArticleTitleHeritable variation in a family-diagnostic trait Evolution 54 1433–1438

    Google Scholar 

  • O. Kempthorne (1978) ArticleTitleLogical, epistemological and statistical aspects of nature-nurture data interpretation Biometrics 34 1–23

    Google Scholar 

  • R. Lande S.J. Arnold (1983) ArticleTitleThe measurement of selection on correlated characters Evolution 37 1210–1226

    Google Scholar 

  • D. Layzer (1974) ArticleTitleHeritability analyses of IQ scores: science or numerology? Science 183 1259–1266

    Google Scholar 

  • R.C. Lewontin (1974) ArticleTitleThe analysis of variance and the analysis of causes Am. J. Hum. Genet. 26 400–411

    Google Scholar 

  • M. Matthen A. Ariew (2002) ArticleTitleTwo ways of thinking about fitness and natural selection J. Philos. 49 55–83

    Google Scholar 

  • R.L. Millstein (2002) ArticleTitleAre random drift and natural selection conceptually distinct? Biol. Philos. 17 33–53 Occurrence Handle10.1023/A:1012990800358

    Article  Google Scholar 

  • T. Mitchell-Olds J. Bergelson (1990) ArticleTitleStatistical genetics of an annual plantImpatiens capensis. I. Genetic basis of quantitative variation Genetics 124 407–415

    Google Scholar 

  • T. Mitchell-Olds R.G. Shaw (1987) ArticleTitleRegression analysis of natural selection: statistical inference and biological interpretation Evolution 41 1149–1161

    Google Scholar 

  • S.M. Paulsen (1996) ArticleTitleQuantitative genetics of the wing color pattern in the buckeye butterfly (Precis coenia and Precis evarete) Evolution 50 1585–1597

    Google Scholar 

  • P.C. Phillips S.J. Arnold (1999) ArticleTitleHierarchical comparison of genetic variance–covariance matrices. I. Using the Flury hierarchy Evolution 53 1506–1515

    Google Scholar 

  • P.C. Phillips M.C. Whitlock K. Fowler (2001) ArticleTitleInbreeding changes the shape of the genetic covariance matrix in Drosophila melanogaster Genetics 158 1137–1145

    Google Scholar 

  • M. Pigliucci (2001) Phenotypic Plasticity: Beyond Nature and Nurture Johns Hopkins University Press Baltimore, MD

    Google Scholar 

  • Pigliucci M. and Kaplan J. forthcoming. Making Sense of Evolution: Toward a Coherent Picture of Evolutionary Theory. Chicago University Press, Chicago, IL.

  • M. Pigliucci K. Preston (Eds) (2004) Phenotypic Integration: Studying the Ecology and Evolution of Complex Phenotypes Oxford University Press Oxford

    Google Scholar 

  • M. Pigliucci C.D. Schlichting (1997) ArticleTitleOn the limits of quantitative genetics for the study of phenotypic evolution Acta Biotheoret. 45 143–160

    Google Scholar 

  • D.A. Roff (1997) Evolutionary Quantitative Genetics Chapman & Hall New York

    Google Scholar 

  • D.A. Roff (2000) ArticleTitleThe evolution of the G matrix: selection or drift? Heredity 84 135–142

    Google Scholar 

  • D.A. Roff (2002) ArticleTitleComparing G matrices: a MANOVA approach Evolution 56 1286–1291

    Google Scholar 

  • S. Sarkar (1998) Genetics and Reductionism Cambridge University Press Cambridge, England

    Google Scholar 

  • S.M. Scheiner (1993) ArticleTitleGenetics and evolution of phenotypic plasticity Annu. Rev. Ecol. Syst. 24 35–68 Occurrence Handle10.1146/annurev.es.24.110193.000343

    Article  Google Scholar 

  • S.M. Scheiner R.J. Mitchell H.S. Callahan (2000) ArticleTitleUsing path analysis to measure natural selection J. Evol. Biol. 13 423–433 Occurrence Handle10.1046/j.1420-9101.2000.00191.x

    Article  Google Scholar 

  • C.D. Schlichting (1986) ArticleTitleThe evolution of phenotypic plasticity in plants Annu. Rev. Ecol. Syst. 17 667–693 Occurrence Handle10.1146/annurev.es.17.110186.003315

    Article  Google Scholar 

  • J. Schmitt S. Dudley M. Pigliucci (1999) ArticleTitleManipulative approaches to testing adaptive plasticity: phytochrome-mediated shade avoidance responses in plants Am. Nat. 154 S43–S54

    Google Scholar 

  • C.M. Sgró L. Partridge (2000) ArticleTitleEvolutionary responses of the life history of wild-caught Drosophila melanogaster to two standard methods of laboratory culture Am. Nat. 156 341–353

    Google Scholar 

  • R.G. Shaw (1992) ArticleTitleComparison of quantitative genetic parameters: reply to Cowley and Atchley Evolution 46 1967–1968

    Google Scholar 

  • F.H. Shaw R.G. Shaw G.S. Wilkinson M. Turelli (1995) ArticleTitleChanges in genetic variances and covariances: G whiz! Evolution 49 1260–1267

    Google Scholar 

  • B. Shipley (2000) Cause and Correlation in Biology: A User’s Guide to Path Analysis, Structural Equations and Causal Inference Cambridge University Press Cambridge, England

    Google Scholar 

  • R.A.J. Skipper (2002) ArticleTitleThe persistence of the R.A. Fisher–Sewall Wright controversy Biol. Philos. 17 341–367 Occurrence Handle10.1023/A:1020178411042

    Article  Google Scholar 

  • E. Sober (1984) The Nature of Selection: Evolutionary Theory in Philosophical Focus MIT Press Cambridge, MA

    Google Scholar 

  • S.J. Steppan (1997) ArticleTitlePhylogenetic analysis of phenotypic covariance structure. I. Contrasting results from matrix correlation and common principal component analyses Evolution 51 571–586

    Google Scholar 

  • S.J. Steppan P.C. Phillips D. Houle (2002) ArticleTitleComparative quantitative genetics: evolution of the G matrix Trends Ecol. Evol. 17 320–327 Occurrence Handle10.1016/S0169-5347(02)02505-3

    Article  Google Scholar 

  • S.E. Sultan (1987) ArticleTitleEvolutionary implications of phenotypic plasticity in plants Evol. Biol. 21 127–178

    Google Scholar 

  • M. Turelli (1988) ArticleTitlePhenotypic evolution, constant covariances, and the maintenance of additive variance Evolution 42 1342–1347

    Google Scholar 

  • S. Via (1987) Genetic constraints on the evolution of phenotypic plasticity V. Loeschcke (Eds) Genetic Constraints on Adaptive Evolution Springer-Verlag Berlin 47–71

    Google Scholar 

  • P. Waldmann S. Andersson (2000) ArticleTitleComparison of genetic (co)variance matrices within and between Scabiosa canescens and S. columbaria J. Evol. Biol. 13 826–835 Occurrence Handle10.1046/j.1420-9101.2000.00214.x

    Article  Google Scholar 

  • D.M. Walsh (2003) ArticleTitleFit and diversity: explaining adaptive evolution Philos. Sci. 70 280–301 Occurrence Handle10.1086/375468

    Article  Google Scholar 

  • D.M. Walsh T. Lewens A. Ariew (2002) ArticleTitleThe trials of life: natural selection and random drift Philos. Sci. 69 452–473 Occurrence Handle10.1086/342454

    Article  Google Scholar 

  • I. Weigensberg D.A. Roff (1996) ArticleTitleNatural heritabilities: can they be reliably estimated in the laboratory? Evolution 50 2149–2157

    Google Scholar 

  • C. Wells M. Pigliucci (2000) ArticleTitleHeterophylly in aquatic plants: considering the evidence for adaptive plasticity Perspect. Plant Ecol. Evol. Syst. 3 1–18

    Google Scholar 

  • M.J. West-Eberhard (2003) Developmental Plasticity and Evolution Oxford University Press Oxford, England

    Google Scholar 

Download references

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  1. Departments of Ecology & Evolution and of Philosophy, SUNY-Stony Brook, NY, USA

    Massimo Pigliucci

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  1. Massimo Pigliucci
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Pigliucci, M. Genetic Variance–covariance Matrices: A Critique of the Evolutionary Quantitative Genetics Research Program. Biol Philos 21, 1–23 (2006). https://doi.org/10.1007/s10539-005-0399-z

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