Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Review Article
  • Published:

Multifactorial genetics

Understanding quantitative genetic variation

Key Points

  • High levels of inherited variation are observed for most traits and in most populations. Variation is maintained partly by mutation and partly by a balance of selective forces; however, we do not know the relative importance of these alternatives.

  • This variation allows a rapid response to natural and artificial selection. Newly arising mutations make an important contribution to long-term selection response. Selection response in large experimental populations often continues steadily for many generations, indicating that many genetic loci are involved.

  • Understanding the maintenance of variation, and the response to selection, requires that the sequence changes that cause trait differences be identified. This is challenging, because variation might depend on multiple alleles that include several interacting sites.

  • Population genetics makes predictions about the nature of quantitative trait loci (QTL). For example, balancing selection is expected to maintain alleles at high frequency, whereas mutation is likely to maintain rare alleles.

  • Predictions for the way that alleles interact, and for the size of their effects, depend on assumptions about the relationship between genotype and phenotype. One simple model indicates that QTL effects should be exponentially distributed.

Abstract

Until recently, it was impracticable to identify the genes that are responsible for variation in continuous traits, or to directly observe the effects of their different alleles. Now, the abundance of genetic markers has made it possible to identify quantitative trait loci (QTL) — the regions of a chromosome or, ideally, individual sequence variants that are responsible for trait variation. What kind of QTL do we expect to find and what can our observations of QTL tell us about how organisms evolve? The key to understanding the evolutionary significance of QTL is to understand the nature of inherited variation, not in the immediate mechanistic sense of how genes influence phenotype, but, rather, to know what evolutionary forces maintain genetic variability.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1: Examples of long-term selection response.
Figure 2: Alternative genetic models for long-term selection response.
Figure 3: Adaptation in the Fisher/Orr model.

Similar content being viewed by others

References

  1. Provine, W. The Origins of Theoretical Population Genetics (Chicago Univ. Press, Chicago, Illinois, 1971).

    Google Scholar 

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

    Article  CAS  PubMed  Google Scholar 

  3. Falconer, D. S. & Mackay, T. F. C. Introduction to Quantitative Genetics (Longman, London, 1995).

    Google Scholar 

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

    Book  Google Scholar 

  5. Houle, D. Comparing evolvability and variability of quantitative traits. Genetics 130, 195–204 (1992).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  6. Lewontin, R. C. The Genetic Basis of Evolutionary Change (Columbia Univ. Press, New York, 1974).

    Google Scholar 

  7. Bodmer, W. F. & Cavalli-Sforza, L. L. Genetics, Evolution and Man (W. H. Freeman, San Francisco, 1976).

    Google Scholar 

  8. Kondrashov, A. S. & Turelli, M. Deleterious mutations, apparent stabilising selection and the maintenance of quantitative variation. Genetics 132, 603–618 (1992).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  9. Kingsolver, J. G. et al. The strength of phenotypic selection in natural populations. Am. Nat. 157, 245–261 (2001).A comprehensive survey of the strength of selection on quantitative traits in natural populations, which implies that stabilizing selection might be less prevalent and is harder to measure accurately than has been previously thought.

    Article  CAS  PubMed  Google Scholar 

  10. Fisher, R. A. The correlation between relatives on the supposition of Mendelian inheritance. Proc. R. Soc. Edinb. 52, 399–433 (1918).

    Google Scholar 

  11. Hill, W. G. Rates of change in quantitative traits from fixation of new mutations. Proc. Natl Acad. Sci. USA 79, 142–145 (1982).This work quantified the contribution of new mutations to artificial selection response, and predicted that this could be substantial.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  12. Lynch, M. & Walsh, J. B. Genetics and Analysis of Quantitative Traits (Sinauer Associates, Sunderland, Massachusetts, 1998).

    Google Scholar 

  13. Yoo, B. H. Long-term selection for a quantitative character in large replicate populations of Drosophila melanogaster. II. Lethals and visible mutants with large effects. Genet. Res. 35, 19–31 (1980).

    Article  Google Scholar 

  14. Weber, K. E. Large genetic change at small fitness cost in large populations of Drosophila melanogaster selected for wind tunnel flight: rethinking fitness surfaces. Genetics 144, 205–213 (1996).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  15. Hill, W. G. & Keightley, P. D. in Second International Conference on Quantitative Genetics (eds Eisen, E. J., Goodman, M. M., Namkoong, G. & Weir, B. S.) 57–70 (Sinauer Associates, Sunderland, Massachusetts, 1988).

    Google Scholar 

  16. Orr, H. A. The genetics of species differences. Trends Ecol. Evol. 16, 343–358 (2001).

    Article  Google Scholar 

  17. Kearsey, M. J. & Farquhar, A. G. L. QTL analysis in plants; where are we now? Heredity 80, 137–142 (1998).

    Article  PubMed  Google Scholar 

  18. Mackay, T. F. C. Quantitative trait loci in Drosophila. Nature Rev. Genet. 2, 11–20 (2001).

    Article  CAS  PubMed  Google Scholar 

  19. Mackay, T. F. C. & Langley, C. H. Molecular and phenotypic variation in the achaete-scute region of Drosophila melanogaster. Nature 348, 64–66 (1990).This paper shows that naturally occurring large insertions in a candidate gene for bristle number in Drosophila melanogaster are associated with bristle number variation.

    Article  CAS  PubMed  Google Scholar 

  20. Long, A. D., Lyman, R. F., Morgan, A. H., Langley, C. H. & Mackay, T. F. C. Both naturally occurring insertions of transposable elements and intermediate frequency polymorphisms at the achaete scute complex are associated with variation in bristle number in Drosophila melanogaster. Genetics 154, 1255–1269 (2000).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  21. Charlesworth, B. & Langley, C. H. The population genetics of Drosophila transposable elements. Annu. Rev. Genet. 23, 251–287 (1989).

    Article  CAS  PubMed  Google Scholar 

  22. Lyman, R. F., Lai, C. Q. & Mackay, T. F. C. Linkage disequilibrium mapping of molecular polymorphisms at the scabrous locus associated with naturally occurring variation in bristle number in Drosophila melanogaster. Genet. Res. 74, 303–311 (1999).

    Article  CAS  PubMed  Google Scholar 

  23. Long, A. D., Lyman, R. F., Langley, C. H. & Mackay, T. F. C. Two sites in the Delta gene region contribute to naturally occurring variation in bristle number in Drosophila melanogaster. Genetics 149, 999–1017 (1998).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  24. Zapata, C. & Alvarez, G. The detection of gametic disequilibrium between allozyme loci in natural populations of Drosophila. Evolution 46, 1900–1917 (1992).

    Article  CAS  PubMed  Google Scholar 

  25. Begun, D. J. & Aquadro, C. F. African and North American populations of Drosophila melanogaster are very different at the DNA level. Nature 353, 548–549 (1993).

    Article  Google Scholar 

  26. Przeworski, M., Wall, J. D. & Andolfatto, P. Recombination and the frequency spectrum in Drosophila melanogaster and Drosophila simulans. Mol. Biol. Evol. 18, 291–298 (2001).

    Article  CAS  PubMed  Google Scholar 

  27. Teeter, K. et al. Haplotype dimorphism in a SNP collection from Drosophila melanogaster. J. Exp. Zool. 88, 63–75 (2000).

    Article  Google Scholar 

  28. Stam, L. F. & Laurie, C. C. Molecular dissection of a major gene effect on a quantitative trait: the level of alcohol dehydrogenase expression in Drosophila melanogaster. Genetics 144, 1559–1564 (1996).A beautiful paper that studied replicated transgenic constructs of the Adh gene in Drosophila to dissect the contribution of molecular variation in different parts of the gene to variation in enzyme activity.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  29. Laurie-Ahlberg, C. C. Genetic variation affecting the expression of enzyme-coding genes in Drosophila: an evolutionary perspective. Curr. Top. Biol. Med. Res. 12, 33–88 (1985).

    CAS  Google Scholar 

  30. Risch, N. J. Searching for genetic determinants in the new millennium. Nature 405, 847–856 (2000).

    Article  CAS  PubMed  Google Scholar 

  31. Cardon, L. R. & Bell, J. I. Association study designs for complex diseases. Nature Rev. Genet. 2, 91–99 (2001).

    Article  CAS  PubMed  Google Scholar 

  32. Weiss, K. M. & Terwilliger, J. D. How many diseases does it take to map a gene with SNPs? Nature Genet. 26, 151–157 (2001).

    Article  CAS  Google Scholar 

  33. Graham, G. I., Wolff, D. W. & Stuber, C. W. Characterization of a yield quantitative trait locus on chromosome five of maize by fine mapping. Crop Sci. 37, 1601–1610 (1997).

    Article  CAS  Google Scholar 

  34. Iraqi, F. et al. Fine mapping of trypanosomiasis resistance loci in murine advanced intercross lines. Mamm. Genome 11, 645–648 (2000).

    Article  CAS  PubMed  Google Scholar 

  35. Legare, M. E., Bartlett, F. S. & Frankel, W. N. A major effect QTL determined by multiple genes in epileptic EL mice. Genome Res. 10, 42–48 (2000).

    CAS  PubMed  PubMed Central  Google Scholar 

  36. Monforte, A. J. & Tanksley, S. D. Fine mapping of a quantitative trait locus (QTL) from Lycopersicon hirsutum chromosome 1 affecting fruit characteristics and agronomic traits: breaking linkage among QTL affecting different traits and dissection of heterosis for yield. Theor. Appl. Genet. 100, 471–497 (2000).

    Article  CAS  Google Scholar 

  37. Podolin, P. L. et al. Localization of two insulin-dependent diabetes (Idd) genes to the Idd10 region on mouse chromosome 3. Mamm. Genome 9, 283–286 (1998).

    Article  CAS  PubMed  Google Scholar 

  38. Vladutu, C., McLaughlin, J. & Phillips, R. L. Fine mapping and characterization of linked quantitative trait loci involved in the transition of the maize apical meristem from vegetative to generative structures. Genetics 153, 993–1007 (1999).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  39. Perez, D. E. & Wu, C. I. Further characterization of the Odysseus locus of hybrid sterility in Drosophila: one gene is not enough. Genetics 140, 201–206 (1995).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  40. Doebley, J., Stec, A. & Hubbard, L. The evolution of apical dominance in maize. Nature 386, 485–488 (1997).Reports what is generally accepted to be the first map-based cloning of a QTL, teosinte branched1.

    Article  CAS  PubMed  Google Scholar 

  41. Frary, A., Nesbitt, T. C. & Frary, A. fw2.2: a quantitative trait locus key to the evolution of tomato fruit size. Science 289, 85–88 (2000).

    Article  CAS  PubMed  Google Scholar 

  42. Fridman, E., Pleban, T. & Zamir, D. A recombination hotspot delimits a wild-species quantitative trait locus for tomato sugar content to 484 bp within an invertase gene. Proc. Natl Acad. Sci. USA 97, 4718–4723 (2000).References 41 and 42 report successful positional cloning experiments for agronomic traits in tomato.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  43. Wang, R. L., Stec, A., Hey, J., Ukens, L. & Doebley, J. The limits of selection during maize domestication. Nature 398, 236–239 (1999).

    Article  CAS  PubMed  Google Scholar 

  44. Barton, N. H. Pleiotropic models of quantitative variation. Genetics 124, 773–782 (1990).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  45. Turelli, M. Heritable genetic variation via mutation–selection balance: Lerch's ζ meets the abdominal bristle. Theor. Popul. Biol. 25, 138–193 (1984).

    Article  CAS  PubMed  Google Scholar 

  46. Lande, R. The maintenance of genetic variability by mutation in a polygenic character with linked loci. Genet. Res. 26, 221–236 (1975).References 45 and 46 provide two mathematical analyses of the stabilizing selection model and come to different conclusions concerning the variation that can be maintained for quantitative traits, depending on the mutation rates at the individual loci involved.

    Article  CAS  PubMed  Google Scholar 

  47. Wagner, G. P. Apparent stabilizing selection and the maintenance of neutral genetic variation. Genetics 143, 617–619 (1996).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  48. Keightley, P. D. & Eyre-Walker, A. Deleterious mutations and the evolution of sex. Science 290, 331–333 (2000).

    Article  CAS  PubMed  Google Scholar 

  49. Wagner, G. P. Multivariate mutation–selection balance with constrained pleiotropic effects. Genetics 122, 223–234 (1989).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  50. Turelli, M. Effects of pleiotropy on predictions concerning mutation–selection balance for polygenic traits. Genetics 111, 165–195 (1985).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  51. Keightley, P. D. & Hill, W. G. Quantitative genetic variability maintained by mutation/stabilising selection balance in finite populations. Genet. Res. 52, 33–43 (1988).

    Article  CAS  PubMed  Google Scholar 

  52. Lyman, R. F., Lawrence, F., Nuzhdin, S. & Mackay, T. F. C. Effects of single P-element insertions on bristle number and viability in Drosophila melanogaster. Genetics 143, 277–292 (1996).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  53. Hastings, A. & Hom, C. L. Pleiotropic stabilising selection limits the number of polymorphic loci to at most the number of characters. Genetics 122, 459–463 (1989).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  54. Wright, S. Evolution in populations in approximate equilibrium. J. Genet. 30, 257–266 (1935).

    Article  Google Scholar 

  55. Lerner, I. M. Genetic Homeostasis (Oliver & Boyd, Edinburgh, 1954).

    Google Scholar 

  56. Gillespie, J. H. & Turelli, M. Genotype–environment interactions and the maintenance of polygenic variation. Genetics 137, 129–138 (1989).

    Article  Google Scholar 

  57. Zhivotovsky, L. A. & Feldman, M. W. On models of quantitative genetic variation: a stabilizing selection-balance model. Genetics 130, 947–955 (1992).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  58. Podolsky, R. H. Genetic variation for morphological and allozyme variation in relation to population size in Clarkia dudleyana, an endemic annual. Conserv. Biol. 15, 412–423 (2001).

    Article  Google Scholar 

  59. Charlesworth, D. & Mayer, S. Genetic variability of plant characters in the partial inbreeder Collinsia heterophylla (Scrophulariaceae). Am. J. Bot. 82, 112–120 (1995).

    Article  Google Scholar 

  60. Smith, T. B. Disruptive selection and the genetic basis of bill size polymorphism in the African finch Pyrenestes. Nature 363, 618–620 (1993).

    Article  Google Scholar 

  61. Sasaki, A. & Ellner, S. Quantitative genetic variance maintained by fluctuating selection with overlapping generations: variance components and covariances. Evolution 51, 682–696 (1997).

    Article  PubMed  Google Scholar 

  62. Slatkin, M. Frequency- and density-dependent selection on a quantitative character. Genetics 93, 755–771 (1979).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  63. Bulmer, M. G. The Mathematical Theory of Quantitative Genetics (Oxford Univ. Press, Oxford, 1985).

    Google Scholar 

  64. Burger, R. Evolution of genetic variability and the advantage of sex and recombination in changing environments. Genetics 153, 1055–1069 (1999).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  65. Waxman, D. & Peck, J. R. Sex and adaptation in a changing environment. Genetics 153, 1041–1053 (1999).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  66. Kondrashov, A. S. & Yampolsky, L. Y. High genetic variability under the balance between symmetric mutation and fluctuating stabilizing selection. Genet. Res. 68, 157–164 (1996).

    Article  Google Scholar 

  67. Robertson, A. Effect of selection against extreme deviants based on deviation or on homozygosis. J. Genet. 54, 236–248 (1956).

    Article  Google Scholar 

  68. Gillespie, J. H. Pleiotropic overdominance and the maintenance of genetic variation in polygenic characters. Genetics 107, 321–330 (1984).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  69. Watt, W. B., Cassin, R. C. & Swan, M. S. Adaptation at specific loci. III. Field behaviour and survivorship differences among Colias PGI genotypes are predictable from in vitro biochemistry. Genetics 103, 725–729 (1983).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  70. Kreitman, M. & Aguade, M. Excess polymorphism in the Adh region of Drosophila melanogaster. Genetics 114, 93–110 (1986).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  71. Hughes, A. L. Adaptive Evolution of Genes and Genomes (Oxford Univ. Press, Oxford, 1999).

    Google Scholar 

  72. Burger, R. The Mathematical Theory of Selection, Recombination and Mutation (Wiley, Chichester, UK, 2000).

    Google Scholar 

  73. Fisher, R. A. The Genetical Theory of Natural Selection (Oxford Univ. Press, Oxford, 1930).

    Book  Google Scholar 

  74. Kimura, M. The Neutral Theory of Molecular Evolution (Cambridge Univ. Press, Cambridge, 1983).

    Book  Google Scholar 

  75. Orr, H. A. The population genetics of adaptation: the distribution of factors fixed during adaptive evolution. Evolution 52, 935–949 (1998).An analysis of Fisher's model of adaptation, which shows that the distribution of factors fixed during adaptation is expected to be approximately exponential.

    Article  PubMed  Google Scholar 

  76. Hayes, B. & Goddard, M. E. The distribution of the effects of genes affecting quantitative traits in livestock. Genet. Select. Evol. 33, 209–230 (2001).

    Article  CAS  Google Scholar 

  77. Shrimpton, A. E. & Robertson, A. The isolation of polygenic factors controlling bristle score in Drosophila melanogaster. II. Distribution of third chromosome bristle effects within chromosome sections. Genetics 118, 445–459 (1988).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  78. Orr, H. A. Adaptation and the cost of complexity. Evolution 54, 13–20 (2000).

    Article  CAS  PubMed  Google Scholar 

  79. True, H. L. & Lindquist, S. L. A yeast prion provides a mechanism for genetic variation and genetic diversity. Nature 407, 477–483 (2000).

    Article  CAS  PubMed  Google Scholar 

  80. Hirsh, A. E. & Fraser, H. B. Protein dispensability and rate of evolution. Nature 411, 1046–1049 (2001).

    Article  CAS  PubMed  Google Scholar 

  81. Smith, V., Chou, K. N., Lashkari, D., Botstein, D. & Borwn, P. O. Functional analysis of the genes of yeast chromosome V by genetic footprinting. Science 274, 2069–2074 (1996).

    Article  CAS  PubMed  Google Scholar 

  82. Kauffman, S. Origins of Order (Cambridge Univ. Press, Cambridge, 1992).

    Google Scholar 

  83. Kacser, H. in Evolution and Animal Breeding (eds Hill, W. G. & Mackay, T. F. C.) 219–226 (CAB International, Wallingford, UK, 1989).

    Google Scholar 

  84. Hasty, J., McMillen, D., Isaacs, F. & Collins, J. J. Computational studies of gene regulatory networks: in numero molecular biology. Nature Rev. Genet. 2, 268–279 (2001).

    Article  CAS  PubMed  Google Scholar 

  85. Weber, K. E. et al. An analysis of polygenes affecting wing shape on chromosome 3 in Drosophila melanogaster. Genetics 153, 773–786 (1999).An extremely well-replicated QTL-mapping experiment for wing shape in Drosophila that points to a highly polygenic basis of inheritance.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  86. Keightley, P. D. Models of quantitative genetic variation of flux in metabolic pathways. Genetics 121, 869–876 (1989).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  87. Kacser, H. & Burns, J. A. The molecular basis of dominance. Genetics 97, 639–666 (1981).A classic paper that was one of the first to explicitly model a biochemical system and relate its properties to the properties of quantitative traits, such as dominance and epistasis.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  88. Keightley, P. D. Metabolic models of selection response. J. Theor. Biol. 182, 311–316 (1996).

    Article  CAS  PubMed  Google Scholar 

  89. Gurganus, M. C., Nuzhdin, S. V., Leips, J. W. & Mackay, T. F. C. High-resolution mapping of quantitative trait loci for sternopleural bristle number in Drosophila melanogaster. Genetics 152, 1585–1604 (1999).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  90. Long, A. D. et al. High resolution genetic mapping of genetic factors affecting abdominal bristle number in Drosophila melanogaster. Genetics 139, 1273–1291 (1995).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  91. Routman, E. J. & Cheverud, J. M. Gene effects on a quantitative trait: two-locus epistatic effects measured at microsatellite markers and at estimated QTL. Evolution 51, 1654–1662 (1997).

    PubMed  Google Scholar 

  92. Eshed, Y. & Zamir, D. Less-than-additive epistatic interactions of quantitative trait loci in tomato. Genetics 143, 1807–1817 (1996).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  93. Lukens, L. N. & Doebley, J. Epistatic and environmental interactions for quantitative trait loci involved in maize evolution. Genet. Res. 74, 291–302 (1999).

    Article  CAS  Google Scholar 

  94. Kondrashov, A. S. Deleterious mutations and the evolution of sexual reproduction. Nature 336, 435–441 (1988).

    Article  CAS  PubMed  Google Scholar 

  95. Lehman, N. & Joyce, G. F. Evolution in vitro: analysis of a lineage of ribozymes. Curr. Biol. 3, 723–734 (1993).

    Article  CAS  PubMed  Google Scholar 

  96. McKenzie, J. A. & O'Farrell, K. Modification of developmental instability and fitness — malathion resistance in the Australian sheep blowfly, Lucilia cuprina. Genetica 89, 67–76 (1993).

    Article  Google Scholar 

  97. Schrag, S. J., Perrot, V. & Levin, B. R. Adaptation to the fitness costs of antibiotic resistance in Escherichia coli. Proc. R. Soc. Lond. B 264, 1287–1291 (1997).

    Article  CAS  Google Scholar 

  98. Stern, D. L. Evolutionary developmental biology and the problem of variation. Evolution 54, 1079–1091 (2000).

    Article  CAS  PubMed  Google Scholar 

  99. Weatherall, D. J. Phenotype–genotype relationships in monogenic disease: lessons from the thalassaemias. Nature Rev. Genet. 2, 245–255 (2001).

    Article  CAS  PubMed  Google Scholar 

  100. Dekkers, J. C. M. & Dentine, M. R. Quantitative genetic variance associated with chromosomal markers in segregating populations. Theor. Appl. Genet. 81, 212–220 (1991).

    Article  CAS  PubMed  Google Scholar 

  101. Visscher, P. M. & Haley, C. S. Detection of putative quantitative trait loci in line crosses under infinitesimal genetic models. Theor. Appl. Genet. 93, 691–702 (1996).

    Article  CAS  PubMed  Google Scholar 

  102. Noor, M. A., Cunningham, A. L. & Larkin, J. C. Consequences of recombination rate variation on quantitative trait locus mapping studies. Simulations based on the Drosophila melanogaster genome. Genetics 159, 581–588 (2001).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  103. Hyne, V. & Kearsey, M. J. QTL analysis — further uses of marker regression. Theor. Appl. Genet. 91, 471–476 (1995).

    Article  CAS  PubMed  Google Scholar 

  104. Beavis, W. D. in Proceedings of the Corn and Sorghum Industry Research Conference 250–266 (American Seed Trade Association, Washington DC, 1994).

    Google Scholar 

  105. White, S. & Doebley, J. Of genes and genomes and the origin of maize. Trends Genet. 14, 327–332 (1998).

    Article  CAS  PubMed  Google Scholar 

  106. Doebley, J. & Stec, A. Genetic analysis of the morphological differences between maize and teosinte. Genetics 129, 285–295 (1991).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  107. Dorweiler, J. et al. Teosinte glume architecture 1: a genetic locus controlling a key step in maize evolution. Science 262, 233–235 (1993).

    Article  CAS  PubMed  Google Scholar 

  108. Doebley, J., Stec, A. & Gustus, C. Teosinte branched 1 and the origin of maize: evidence for epistasis and the evolution of dominance. Genetics 141, 333–346 (1995).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  109. Shrimpton, A. E. & Robertson, A. The isolation of polygenic factors controlling bristle score in Drosophila melanogaster. I. Allocation of third chromosome sternopleural bristle effect to chromosome sections. Genetics 118, 437–443 (1988).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  110. Paterson, A. H. et al. Resolution of quantitative traits into Mendelian factors by using a complete linkage map of restriction fragment length polymorphisms. Nature 335, 721–726 (1988).

    Article  CAS  PubMed  Google Scholar 

  111. Darvasi, A. Experimental strategies for the genetic dissection of complex traits in animal models. Nature Genet. 18, 19–24 (1998).

    Article  CAS  PubMed  Google Scholar 

  112. Breese, E. L. & Mather, K. The organization of polygenic activity within a chromosome in Drosophila. 1. Hair characters. Heredity 11, 373–395 (1957).

    Article  Google Scholar 

  113. Adams, M. D., Celniker, S. E. & Holt, R. A. The genome sequence of Drosophila melanogaster. Science 287, 2185–2195 (2000).

    Article  PubMed  Google Scholar 

  114. Lander, E. S. & Botstein, D. Mapping Mendelian factors underlying quantitative traits using RFLP linkage maps. Genetics 121, 185–199 (1989).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  115. Thoday, J. M. Location of polygenes. Nature 191, 368–370 (1961).

    Article  Google Scholar 

  116. Yoo, B. H. Long-term selection for a quantitative character in large replicate populations of Drosophila melanogaster. I. Response to selection. Genet. Res. 35, 1–17 (1980).

    Article  Google Scholar 

  117. Yoo, B. H. Long-term selection for a quantitative character in large replicate populations of Drosophila melanogaster. III. The nature of residual genetic variability. Theor. Appl. Genet. 57, 25–32 (1980).

    Article  CAS  PubMed  Google Scholar 

  118. Barton, N. H. The geometry of adaptation. Nature 395, 751–752 (1998).

    Article  CAS  PubMed  Google Scholar 

Download references

Acknowledgements

We are grateful to the Biotechnology and Biological Sciences Research Council and the Royal Society for their support, and to W. Hill, T. Mackay, M. Slatkin, M. Turelli, B. Walsh and an anonymous referee for their helpful comments on the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nicholas H. Barton.

Related links

Related links

DATABASES

LocusLink 

α-globin

β-globin

achaete-scute

Adh

Delta

hairy

scabrous 

MaizeDB 

tb1

tga1

ENCYCLOPEDIA OF LIFE SCIENCES

Quantitative genetics

Glossary

QUANTITATIVE TRAIT LOCI

(QTL). Genetic loci identified through the statistical analysis of complex traits (such as plant height or body weight). These traits are typically affected by more than one gene and also by the environment.

HERITABILITY

The fraction of the phenotypic variance due to additive genetic variance (VA/VP).

ENVIRONMENTAL VARIANCE

The variance in the trait among genetically identical individuals. This variation might be due to the different environmental conditions experienced by different individuals, or to essentially random factors.

GENETIC VARIANCE

The variance of trait values that can be ascribed to genetic differences between individuals.

STABILIZING SELECTION

Intermediate phenotypes have greater fitness than extreme phenotypes.

DIRECTIONAL SELECTION

Natural selection that acts to promote the fixation of a particular allele.

DISRUPTIVE SELECTION

Intermediate phenotypes have lower fitness than extreme phenotypes; the opposite of stabilizing selection.

INFINITESIMAL MODEL

A simple model of the inheritance of quantitative traits, which assumes an infinite number of unlinked loci, each with an infinitesimal effect.

EFFECTIVE POPULATION SIZE

The size of the ideal population in which the effects of random drift would be the same as observed in the actual population.

LINKAGE DISEQUILIBRIUM

The condition in which the frequency of a particular haplotype is significantly greater than that expected from the product of the observed allelic frequencies at each locus.

SELECTIVE SWEEP

After the fixation of a new favourable mutation, the surrounding region of the genome is also fixed; neutral diversity is therefore 'swept' out of the population.

BALANCER CHROMOSOME

Chromosome with recessive lethal mutations and inverted segments that suppress recombination.

BALANCING SELECTION

Selection that acts to maintain two or more alleles in a population.

OVERDOMINANCE

The phenotype of the heterozygote is greater than that of either homozygote. Overdominance for fitness can lead to the maintenance of both alleles in the population.

DOMINANCE

A genetic interaction between the two alleles at a locus, such that the phenotype of heterozygotes deviates from the average of the two homozygotes.

EPISTASIS

In the context of quantitative genetics, epistasis refers to any genetic interaction in which the combined phenotypic effect of two or more loci is less than (negative epistasis) or greater than (positive epistasis) the sum of effects at individual loci.

DIRECTIONAL DOMINANCE

The phenotype of individuals that are heterozygous for the multiple loci that affect a trait deviates from the average of the phenotypes of homozygous individuals.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Barton, N., Keightley, P. Understanding quantitative genetic variation. Nat Rev Genet 3, 11–21 (2002). https://doi.org/10.1038/nrg700

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1038/nrg700

This article is cited by

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing