A cautionary tale of two matrices: The duality of multivariate abstraction

Journal of Evolutionary Biology

Volumn 20, Issue 1, 2007, Pages 9-14

  Brodie III, E D ^a   Mcglothlin, J W ^b  

^a UNIVERSITY OF VIRGINIA   (United States)

^b INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EVOLUTION; GENETIC SELECTION; GENETIC VARIABILITY; GENETICS; INHERITANCE; MULTIFACTORIAL INHERITANCE; MULTIVARIATE ANALYSIS; NOTE; QUANTITATIVE TRAIT; STATISTICAL ANALYSIS;

DATA INTERPRETATION, STATISTICAL; EVOLUTION; INHERITANCE PATTERNS; MULTIFACTORIAL INHERITANCE; MULTIVARIATE ANALYSIS; QUANTITATIVE TRAIT, HERITABLE; SELECTION (GENETICS); VARIATION (GENETICS);

EID: 33845714745     PISSN: 1010061X     EISSN: 14209101     Source Type: Journal    
DOI: 10.1111/j.1420-9101.2006.01219.x     Document Type: Note

References (58)

1. Agrawal, A.F., Brodie, E.D. & Rieseberg, L.H. 2001. Possible consequences of genes of major effect: transient changes in the G-matrix. Genetica 112: 33-43.
2. Arnold, S.J. 1994. Multivariate inheritance and evolution: a review of concepts. In: Quantitative Genetic Studies of Behavioral Evolution (C. R. Boake, ed.), pp. 17-48. Univ. of Chicago Press, Chicago.
3. Arnold, S.J. & Phillips, P.C. 1999. Hierarchical comparison of the genetic variance-covariance matrices. II. Coastal-inland divergence in the garter snake, Thamnophis elegans. Evolution 53: 1516-1527.
4. Baker, R.H. & Wilkinson, G.S. 2003. Phylogenetic analysis of correlation structure in stalk-eyed flies (Diasemopsis, Diopsidae). Evolution 57: 87-103.
5. Bégin, M. & Roff, D.A. 2004. From micro- to macroevolution through quantitative genetic variation: positive evidence from field crickets. Evolution 58: 2287-2304.
6. Blows, M.W. 2007. A tale of two matrices: multivariate approaches in evolutionary biology. J. Evol. Biol. 20: 1-8.
7. Blows, M.W. & Brooks, R. 2003. Measuring nonlinear selection. Am. Nat. 162: 815-820.
8. Blows, M.W. & Higgie, M. 2003. Genetic constraints on the evolution of mate recognition under natural selection. Am. Nat. 161: 240-253.
9. Blows, M.W. & Hoffmann, A.A. 2005. A reassessment of genetic limits to evolutionary change. Ecology 86: 1371-1384.
10. Blows, M.W., Brooks, R. & Kraft, P.G. 2003. Exploring complex fitness surfaces: multiple ornamentation and polymorphism in male guppies. Evolution 57: 1622-1630.
11. Blows, M.W., Chenoweth, S.F. & Hine, E. 2004. Orientation of the genetic variance-covariance matrix and the fitness surface for multiple male sexually selected traits. Am. Nat. 163: 329-340.
12. Brodie, E.D. III 1989. Genetic correlations between morphology and antipredator behaviour in natural populations of the garter snakes Thamnophis ordinoides. Nature 342: 542-543.
13. Brodie, E.D. III 1992. Correlational selection for color pattern and antipredator behavior in the garter snake Thamnophis ordinoides. Evolution 46: 1284-1298.
14. Brodie, E.D. III, Moore, A.J. & Janzen, F.J. 1995. Visualizing and quantifying natural selection. Trends Ecol. Evol. 10: 313-318.
15. Carriére, Y. & Roff, D.A. 1995. Change in genetic architecture resulting from the evolution of insecticide resistance: a theoretical and empirical analysis. Heredity 75: 618-629.
16. Cheverud, J.M. 1982. Phenotypic, genetic, and environmental morphological integration in the cranium. Evolution 36: 499-516.
17. Cheverud, J.M. 1984. Quantitative genetics and developmental constraints on evolution by selection. J. Theor. Biol. 110: 155-171.
18. Cheverud, J.M. & Moore, A.J. 1994. Quantitative genetics and the role of the environment provided by relatives in the evolution of behavior. In: Quantitative genetic studies of behavioral evolution (C. R. B. Boake, ed.), pp. 60-100. Univ. of Chicago Press, Chicago.
19. Conner, J.K. 2003. Artificial selection: a powerful tool for ecologists. Ecology 84: 1650-1660.
20. Conner, J.K. & Via, S. 1993. Patterns of phenotypic and genetic correlations among morphological and life-history traits in wild radish, Raphanus raphanistrum. Evolution 47: 704-711.
21. Dickerson, G.E. 1955. Genetic slippage in response to selection for multiple objectives. Cold Spring Harb. Symp. Quant. Biol. 20: 213-224.
22. Endler, J.A. 1986. Natural Selection in the Wild. Princeton Univ. Press, Princeton.
23. Frankino, W.A., Zwaan, B.J., Stern, D.L. & Brakefield, P.M. 2005. Natural selection and developmental constraints in the evolution of allometries. Science 307: 718-720.
24. Grant, P.R. & Grant, B.R. 1995. Predicting microevolutionary responses to directional selection on heritable variation. Evolution 49: 241-251.
25. Grant, P.R. & Grant, B.R. 2002. Unpredictable evolution in a 30-year study of Darwin's finches. Science 296: 707-711.
26. Hansen, T.F. & Houle, D. 2004. Evolvability, stabilizing selection, and the problem of stasis. In: Phenotypic Integration: Studying the Ecology and Evolution of Complex Phenotypes (M. Pigliucci & K. Preston, eds), pp. 130-150. Oxford University Press, New York.
27. Hendry, A.P. & Kinnison, M.T. 1999. The pace of modern life: measuring rates of contemporary microevolution. Evolution 53: 1637-1653.
28. Kingsolver, J.G., Hoekstra, H.E., Hoekstra, J.M., Berrigan, D., Vignieri, S.N., Hill, C.E., Hoang, A., Gilbert, P. & Beerli, P. 2001. The strength of phenotypic selection in natural populations. Am. Nat. 157: 245-261.
29. Kirkpatrick, M. & Lande, R. 1989. The evolution of maternal characters. Evolution 43: 485-503.
30. Kruuk, L.E.B., Slate, J., Pemberton, J.M., Brotherstone, S., Guinness, F. & Clutton-Brock, T. 2002. Antler size in red deer: heritability and selection but no evolution. Evolution 56: 1683-1695.
31. Lande, R. 1979. Quantitative genetic analysis of multivariate evolution, applied to brain: body size allometry. Evolution 33: 402-416.
32. Lande, R. 1980. The genetic covariance between characters maintained by pleiotropic mutations. Genetics 94: 203-215.
33. Lande, R. 1984. The genetic correlation between characters maintained by selection, linkage and inbreeding. Genet. Res. 44: 309-320.
34. Lande, R. & Arnold, S.J. 1983. The measurement of selection on correlated characters. Evolution 37: 1210-1226.
35. Lande, R. & Kirkpatrick, M. 1990. Selection response in traits with maternal inheritance. Genet. Res. 55: 189-197.
36. McGlothlin, J.W., Parker, P.G., Nolan, V. Jr. & Ketterson, E.D. 2005. Correlational selection leads to genetic integration of body size and an attractive plumage trait in dark-eyed juncos. Evolution 59: 658-671.
37. Merilä, J., Kruuk, L.E.B. & Sheldon, B.C. 2001. Cryptic evolution in a wild bird population. Nature 412: 76-79.
38. Morgan, M.T. & Conner, J.K. 2001. Using genetic markers to directly estimate male selection gradients. Evolution 55: 272-281.
39. Olson, E.C. & Miller, R.L. 1958. Morphological Integration. University of Chicago Press, Chicago.
40. Phelan, J.P., Archer, M.A., Beckman, K.A., Chippindale, A.K., Nusbaum, T.J. & Rose, M.R. 2003. Breakdown in correlations during laboratory evolution. I. Comparative analyses of Drosophila populations. Evolution 57: 527-535.
41. Phillips, P.C. & Arnold, S.J. 1989. Visualizing multivariate selection. Evolution 43: 1209-1222.
42. Phillips, P.C. & Arnold, S.J. 1999. Hierarchical comparison of genetic variance-covariance matrices. I. Using the flury-hierarchy. Evolution 53: 1506-1515.
43. Reznick, D.N., Shaw, F.H., Rodd, F.H. & Shaw, R.G. 1997. Evaluation of the rate of evolution in natural populations of guppies. Science 275: 1934-1937.
44. Rice, S.H. 2002. A general population genetic theory for the evolution of developmental interactions. Proc. Natl. Acad. Sci. USA. 99: 15518-15523.
45. Rice, S.H. 2004. Evolutionary Theory: Mathematical and Conceptual Foundations. Sinauer Associates, Sunderland, MA.
46. Roff, D. 2002. Comparing G matrices: a MANOVA approach. Evolution 56: 1286-1291.
47. Schluter, D. & Nychka, D. 1994. Exploring fitness surfaces. Am. Nat. 143: 597-616.
48. Shaw, R.G. 1991. The comparison of quantitative genetic parameters between populations. Evolution 45: 143-151.
49. Shaw, F.H., Shaw, R.G., Wilkinson, G.S. & Turelli, M. 1995. Changes in genetic variances and covariances: G whiz!. Evolution 49: 1260-1267.
50. Steppan, S.J., Phillips, P.C. & Houle, D. 2002. Comparative quantitative genetics: evolution of the G matrix. Trends Ecol. Evol. 17: 320-327.
51. Tallis, G.M. & Leppard, P. 1988. The joint effects of selection and assortative mating on multiple polygenic characters. Theor. Appl. Genet. 75: 278-281.
52. Travis, J. 1989. The role of optimizing selection in natural populations. Annu. Rev. Ecol. Syst. 20: 279-296.
53. Turelli, M. 1988. Phenotypic evolution, constant covariances, and the maintenance of additive variance. Evolution 42: 1342-1347.
54. Wade, M.J. & Kalisz, S. 1990. The causes of natural selection. Evolution 44: 1947-1955.
55. Wilkinson, G.S. 1993. Artificial sexual selection alters allometry in the stalk-eyed fly Cyrtodiopsis dalmanni (Diptera, Diopsidae). Genet. Res. 3: 213-222.
56. Wilkinson, G.S., Fowler, K. & Partridge, L. 1990. Resistance of genetic correlation structure to directional selection in Drosophila melanogaster. Evolution 44: 1990-2003.
57. Wolf, J.B. & Brodie, E.D. III, 1998. The coadaptation of parental and offspring characters. Evolution 52: 299-308.
58. Wolf, J.B., Brodie, E.D. III, Cheverud, J.M., Moore, A.J. & Wade, M.J. 1998. Evolutionary consequences of indirect genetic effects. Trends Ecol. Evol. 13: 64-69.