Quantitative Genetic Principles in Plant Breeding

  • R. J. Baker
Part of the Stadler Genetics Symposia Series book series (SGSS)


Quantitative genetics refers to the study of inheritance of traits whose phenotypes show more or less continuous distributions. There is no compelling reason for distinguishing among related terms such as ‘biometrical genetics’, ‘statistical genetics’, nor, in some cases, ‘population genetics’. All are concerned with the study of how genes affect important characteristics, how they interact with environmental factors, and how they can be manipulated to give improved plant or animal strains.


Inbred Line Plant Breeding Effective Population Size Selection Intensity Selection Unit 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Bailey, T. B., Jr., and Comstock, R. E., 1976, Linkage and the synthesis of better genotypes in self-fertilizing species, Crop Sci., 16: 363 – 370.CrossRefGoogle Scholar
  2. Baker, R.J., 1966, Predicted variance of response to selection, Ph.D. thesis, University of Minnesota, 72p. University Microfilms, Ann Arbor, Mich. (Diss. Abstr. 28:53-B).Google Scholar
  3. Baker, R.J., 1968, Extent of intermating in self-pollinated species necessary to counteract the effects of genetic drift, Crop Sci., 8: 547 – 550.CrossRefGoogle Scholar
  4. Baker, R. J., 1971, Theoretical variance of response to modified pedigree selection, Can. J. Plant Sci., 51: 463 – 468.CrossRefGoogle Scholar
  5. Baker, R.J., 1975, Letter to the editors, Can. J. Plant Sci., 55 355.CrossRefGoogle Scholar
  6. Bos, I., 1977, More arguments against intermating F2 plants of a self-fertilizing crop, Euphytica, 26: 33 – 46.CrossRefGoogle Scholar
  7. Brim, C.A., 1966, A modified pedigree method of selection in soybeans, Crop Sci., 6: 220.CrossRefGoogle Scholar
  8. Busch, R.H., Janke, J.C. and Frohberg, R.C., 1974, Evaluation of crosses among high and low yielding parents of spring wheat (Triticum aestivum L.) and bulk prediction of line performance, Crop Sci., 14: 47 – 50.CrossRefGoogle Scholar
  9. Cockerham, C.C., 1963, Estimation of genetic variances, Pages 53–94, in: “Statistical Genetics and Plant Breeding,” W. D. Hanson and H.F. Robinson, eds., NAS-NRC 982.Google Scholar
  10. Comstock, R.E., 1977, Quantitative genetics and the design of breeding programs, Pages 705–718, in: “Proc. Int’l Conf. on Quantitative Genetics,” E. Pollak, O. Kempthorne, and T.B. Bailey, Jr., eds., Iowa State University Press, Ames.Google Scholar
  11. Comstock, R. E., 1978, Quantitative genetics in maize breeding, Pages 191–206,in: “Maize breeding and genetics,” D.B. Walden, Ed., John Wiley and Sons, New York.Google Scholar
  12. Comstock, R.E., and Moll, R.H., 1963, Genotype-environment interactions, Pages 164–196in: “Statistical genetics and plant breeding,” W. D. Hanson and H. F. Robinson, eds., NAS-NRC 982.Google Scholar
  13. Coughtrey, A., and Mather, K., 1970, Interaction and gene association and dispersion in diallel crosses where gene frequencies are unequal, Heredity, 25: 79 – 88.PubMedCrossRefGoogle Scholar
  14. Crow, J. F., and Kimura, M., 1979, Efficiency of truncation selection, Proc. Nat. Acad. Sci.USA, 76: 396 – 399.PubMedCrossRefGoogle Scholar
  15. Dawkins, R. 1978, “The selfish gene,” Granada Publishing Ltd., London.Google Scholar
  16. Eberhart, S., and Russell, W.A., 1966, Stability parameters for comparing varieties, Crop Sci., 6: 36 – 40.CrossRefGoogle Scholar
  17. Falconer, D.S., 1981, “Introduction to quantitative genetics,” Longman Inc., New York.Google Scholar
  18. Grafius, J.E., 1965, A geometry of plant breeding, Michigan State University Res. Bull. 7.Google Scholar
  19. Griffing, B., 1968, Selection in reference to biological groups. III. Generalized results of individual and group selection in terms of parent-offspring covariances, Aust.J. Biol. Sci., 21 1171 – 1178.PubMedGoogle Scholar
  20. Hallauer, A.R., and Miranda, J.B., Fo., 1981, “Quantitative genetics in maize breeding,” Iowa State University Press, Ames.Google Scholar
  21. Hanson, W. D., 1959a, Early generation analysis of lengths of heterozygous chromosome segments around a locus held heterozygous with backcrossing or selfing, Genetics, 44 833 – 837.Google Scholar
  22. Hanson, W.D., 1959b, The breakup of initial linkage blocks under selected mating systems, Genetics, 44: 857 – 868.Google Scholar
  23. Hill, W.G., 1974, Variability of response to selection in genetic experiments, Biometrics, 30: 363 – 366.PubMedCrossRefGoogle Scholar
  24. Horner, T.W., Comstock, R.E. and Robinson, H.F., 1955, Non-allelic gene interactions and the interpretaton of quantitative genetic data, North Carolina Agric. Exp. Stn. Tech. Bull. 118.Google Scholar
  25. Jinks, J. L., and Towey, P., 1976, Estimating the number of genes by genotype assay, Heredity, 37: 69 – 81.PubMedCrossRefGoogle Scholar
  26. Kearsey, M. J., and Jinks, J. L., 1968, A general method of detecting additive, dominance and epistatic variation for metrical traits. I. Theory, Heredity, 23: 403 – 409.PubMedCrossRefGoogle Scholar
  27. Kimura, M., 1957, Some problems of stochastic processes in genetics, Ann. Math. Stat., 28: 882 – 901.CrossRefGoogle Scholar
  28. Kimura, M., and Crow, J.F., 1978, Effect of overall phenotypic selection on genetic change at individual loci, Proc. Nat. Acad. Sci. USA, 75: 6168 – 6171.PubMedCrossRefGoogle Scholar
  29. Latter, B.D.H., 1965, The response to artificial selection due to autosomal genes of large effect. II. The effects of linkage on limits to selection in finite populations, Aust. J. Biol. Sci., 18: 1009 – 1023.PubMedGoogle Scholar
  30. Leisle, D., Kosmolak, F. and Kovacs, M., 1981, Association of glume color with gluten strength and gliadin proteins in durum wheat, Can. J. Plant Sci., 61: 149 – 151.CrossRefGoogle Scholar
  31. Mayo, O., 1980, “The theory of plant breeding,” Clarendon Press, Oxford.Google Scholar
  32. Meredith, W.R., Jr., and Bridge, R.R., 1971, Breakup of linkage blocks in Gossypium hirsutum L., Crop Sci., 11: 695 – 698.CrossRefGoogle Scholar
  33. Miller, P.A., and Rawlings, J.O., 1967, Breakup of initial linkage blocks through intermating in a cotton population, Crop Sci., 7: 199 – 204.CrossRefGoogle Scholar
  34. Mulitze, D.K., 1983, A critique of bimometrical methods for estimating the number of genes controlling quantitative traits. Ph.D. thesis, University of Saskatchewan.Google Scholar
  35. Pederson, D.G., 1969a, The prediction of selection response in a self-fertilizing species. I. Individual selection, Aust. J. Biol. Sci., 22: 117 – 129.Google Scholar
  36. Pederson, D.G., 1969b, The predictions of selection response in a self-fertilizing species. II. Family selection, Aust. J. Biol. Sci., 22: 1245 – 1247.Google Scholar
  37. Pederson, D.G., 1974, Arguments against intermating before selection in self-fertilizing species, Theor. Appl. Genet., 45: 157 – 162.Google Scholar
  38. Perkins, J.M., and Jinks, J.L., 1968, Environmental and genotype-environmental components of variability. III. Multiple lines and crosses, Heredity, 23: 339 – 356.PubMedCrossRefGoogle Scholar
  39. Quereshi, A. W., and Kempthorne, O., 1968, On the fixation of genes of large effects due to continued truncation selection in small populations of polygenic systems with linkage, Theor. Appl. Genet., 38: 249 – 255.CrossRefGoogle Scholar
  40. Rawlings, J.O., 1979, Long- and short-term recurrent selection in finite populations - choice of population size, Pages 201–215, in: “Proc. World Soybean Research Conference II,” Raleigh.Google Scholar
  41. Redden, R.J., and Jensen, N.F., 1974, Mass selection and mating systems in cereals, Crop Sci., 14: 345 – 350.CrossRefGoogle Scholar
  42. Robertson, A., 1970, A theory of limits in artificial selection with many linked loci, Pages 246–288,in “Mathematical topics in population genetics,” K. Kojima, Ed., Springer-Verlag, New York.Google Scholar
  43. Shebeski, L.H., 1967, Wheat and breeding, Pages 253–272, in: “Proc. Canadian Centennial Wheat Symp,” K.F. Nelson, ed., Western Co-operative Fertilizers, Calgary.Google Scholar
  44. Sneep, J., 1977, Selection for yield in early generations of self-fertilizing crops, Euphytica, 26: 27 – 30.CrossRefGoogle Scholar
  45. Stam, P., 1977, Selection response under random mating and under selfing in the progeny of a cross of homozygous parents, Euphytica, 26: 169 – 184.CrossRefGoogle Scholar
  46. Stuthman, D. D., and Stucker, R. E., 1975, Combining ability analysis of near-homozygous lines derived from a 12-parent diallel cross in oats, Crop Sci., 15: 800 – 803.CrossRefGoogle Scholar
  47. Thoday, J. M., and Thompson, J. N., Jr. 1976, The number of segregating ones implied by continuous variation, Genetica, 46: 335 – 344.CrossRefGoogle Scholar
  48. Tai, P.Y.P., Rice, E.R., Chew, V. and Miller, J.D., 1982, Phenotypic stability analysis of sugarcane cultivar performance tests, Crop Sci., 22: 1179 – 1184.CrossRefGoogle Scholar
  49. Towey, P., and Jinks, J.L., 1977, Alternate ways of estimating the number of genes in a polygenic system by genotype assay, Heredity, 39: 399 – 410.PubMedCrossRefGoogle Scholar
  50. Townley-Smith, T. F., Hurd, E. A., and McBean, D. S., 1973, Techniques in selection for yield in wheat, Pages 605–609, in: “Fourth Int’l Wheat Genetics Symp. Proc.,” E.R. Sears and L.M.S. Sears, eds., Univ. of Missouri, Columbia.Google Scholar
  51. Tukey, J.W., 1949, One degree of freedom for non-additivity, Biometrics, 5: 232 – 242.CrossRefGoogle Scholar
  52. Wehrhahn, C., and Allard, R.W., 1965, The detection and measurement of the effects of individual genes involved in the inheritance of a quantitative character in wheat, Genetics, 51: 109 – 119.PubMedGoogle Scholar
  53. Whitehouse, R.N.H., 1968, An application of canonical analysis to plant breeding, Pages 61–96, in: “Proc. 5th Cong. European Assoc. for Res. on Plant Breeding,” Milano.Google Scholar
  54. Wright, A. J., 1971, The analysis and prediction of some two factor interactions in grass breeding, J. Agric. Res. (Camb.), 76: 301 – 306.CrossRefGoogle Scholar
  55. Wright, S., 1934, The results of crosses between inbred strains of guinea pigs differing in number of digits, Genetics, 19: 537 – 551.PubMedGoogle Scholar
  56. Yonezawa, K., and Yamagata, H., 1978, On the number and size of cross combinations in a breeding programme on self-fertilizing crops, Euphytica, 27: 113 – 116.CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • R. J. Baker
    • 1
  1. 1.Crop Development CentreUniversity of SaskatchewanSaskatoonCanada

Personalised recommendations