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Gene number estimation when multiplicative genetic effects are assumed — growth in flour beetles and mice

Summary

Estimation of the number of segregating genes affecting a quantitative trait in populations initiated from a cross of two homozygous lines is considered. Experimental data, for the trait in question, is assumed available on total response to recurrent selection initiated in the F2 or F3 generation, the initial additive genetic variance and the heterosis exhibited in the F1 generation. Appropriate procedures when multiplicative genetic effects are assumed are developed and reasons for assuming multiplicative rather than additive effects are indicated. These procedures were employed to estimate the number of genes affecting pupa weight in a population of flour beetles and growth in a population of mice. Estimates were 50–60 percent smaller than those obtained using familiar estimation procedures appropriate when no epistasis is assumed. However, the estimated numbers (about 200 and 100 for pupa weight and mouse growth, respectively) were still rather large.

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Literature

  • Castle, W.E. (1921): An improved method of estimating the number of genetic factors concerned in cases of blending inheritance. Science 54, 223

    Google Scholar 

  • Charles, D.R; Smith, H.H. (1939): Distinguishing between two types of gene action in quantitative inheritance. Genetics 24, 34–48

    Google Scholar 

  • Comstock, R.E.; Robinson, H.F. (1948): The components of genetic variance in populations of bi-parental progenies and their use in estimating the average degree of dominance. Biometrics 4, 254–266

    Google Scholar 

  • Comstock, R.E. (1969): Number of genes affecting growth in mice. Genetic Lectures (Oregon State University) 1, 137–148

    Google Scholar 

  • Comstock, R.E. (1973): Growth in mice. Genetics 74, 51

    Google Scholar 

  • Comstock, R.E. (1974): Consequences of genetic linkage. Proc. 1st World Congress on Genetics Applied to Livestock Production. 1, 353–363

    Google Scholar 

  • Comstock, R.E. (1977): Quantitative genetics and the design of breeding programs. In: Proc. International Conference on Quantitative Genetics (eds.: Pollak, E.; Kempthorne, O.; Bailey, T.B.), pp. 705–718. Ames, Iowa: The Iowa State University Press

    Google Scholar 

  • Comstock, R.E. (1978): Quantitative genetics in maize breeding. In: Maize Breeding and Genetics (ed.: Walden, D.B.), pp. 191–205. New York-Chichester-Brisbane-Toronto: John Wiley and Sons

    Google Scholar 

  • Enfield, F.D.; Comstock, R.E.; Braskerud, O. (1966): Selection for pupa weight in Tribolium Castaneum. I. Parameters in base populations. Genetics 54, 523–533

    Google Scholar 

  • Enfield, F.D. (1973): Long term selection for pupa weight in Tribolium: gene action and gene numbers. Genetics 74(2, part 2), s72

    Google Scholar 

  • Enfield, F.D. (1974): Recurrent selection and response plateaus. Proc. 1st World Congress on Genetics Applied to Livestock Production. 1, 365–371

    Google Scholar 

  • Falconer, D.S. (1960): Introduction to Quantitative Genetics. New York: The Ronald Press Company

    Google Scholar 

  • Hill, W.G.; Robertson, A. (1966): The effect of linkage on artificial selection. Genet. Res. 8, 269–294

    Google Scholar 

  • Hill, W.G.; Robertson, A. (1968): Linkage disequilibrium in finite populations. Theoret. Appl. Genet. 38, 226–231

    Google Scholar 

  • Moll, R.H.; Lindsey, M.F.; Robinson, H.F. (1964): Estimates of genetic variances and level of dominance in maize. Genetics 49, 411–423

    Google Scholar 

  • Park, Y.C. (1977): Theory for the number of genes affecting quantitative characters I. Estimation of and variance of the estimation of gene numbers for quantitative traits controlled by additive genes having equal effect. Theoret. Appl. Genet. 50, 153–161

    Google Scholar 

  • Rahnefeld, G.W.; Boylan, W.J.; Comstock, R.E.; Singh, M. (1963): Mass selection for post-weaning growth in mice. Genetics 48, 1567–1583

    Google Scholar 

  • Roberts, R.C. (1966): The limits of artificial selection for body weight in mouse I. The limits attained in earlier experiments. Genet. Res. 8, 347–360

    Google Scholar 

  • Wright, S. (1952): The genetics of quantitative variability. In: Quantitative Inheritance, pp. 541. Agric. Res. Council, London: Her Majesty's Stationery Office

    Google Scholar 

  • Wright, S. (1968): Evolution and the Genetics of Populations. I. Genetic and Biometric Foundations. Chicago and London: The University of Chicago Press

    Google Scholar 

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Scientific Journal Series, Minnesota Agriculture Experimental Station. Work supported by the National Science Foundation Grant No. G-1238, the Minnesota Agricultural Experiment Station and by Public Health Service Grant No. 16074

Communicated by R.C. Lewontin

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Comstock, R.E., Enfield, F.D. Gene number estimation when multiplicative genetic effects are assumed — growth in flour beetles and mice. Theoret. Appl. Genetics 59, 373–379 (1981). https://doi.org/10.1007/BF00276452

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  • DOI: https://doi.org/10.1007/BF00276452

Key words

  • Gene number estimation
  • Multiplicative genetic effects
  • Gene numbers
  • Pupa weight
  • Growth of mice