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The use of biplots in interpreting variety by environment interactions

Published online by Cambridge University Press:  27 March 2009

R. A. Kempton
Affiliation:
lant Breeding Institute, Trumpington, Cambridge

Summary

Gabriel (1971) proposed a technique for displaying the rows and columns of a twoway table as a two-dimensional biplot so that any element of the table can be approximated by the inner product of vectors corresponding to the appropriate row and column. The technique is useful for investigating the pattern of response of varieties over different environments, and substantially increases the information available from the more familiar methods of regression and principal component analysis without need for additional computation.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1984

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References

Abou-El-Fittouh, H. A., Rawunos, J. O. & Miller, P. A. (1969). Genotype by environment interactions in cotton — their nature and related environment variables. Crop Science 9, 377381.CrossRefGoogle Scholar
Beckett, J. L. (1982). Variety × environment interactions in sugar beet variety trials. Journal of Agricultural Science, Cambridge 98, 425435.Google Scholar
Blackman, J. A., Binoham, J. & Davidson, J. L. (1978). Response of semi-dwarf and conventional winter wheat varieties to the application of nitrogen fertilizer. Journal of Agricultural Science, Cambridge 90, 543550.CrossRefGoogle Scholar
Byth, D. E., Eisemann, R. L. & Delacy, I. H. (1976). Two-way pattern analysis of a large data set to evaluate genotypic adaptation. Heredity 37, 215230.CrossRefGoogle Scholar
Digby, P. G. N. (1979). Modified joint regression analysis for incomplete variety x environment data. Journal of Agricultural Science, Cambridge 93, 8186.CrossRefGoogle Scholar
Finlay, K. W. & Wilkinson, G. N. (1963). The analysis of adaptation in a plant breeding programme. Australian Journal of Agricultural Research 14, 742754.Google Scholar
Gabriel, K. R. (1971). Biplot display of multivariate matrices with application to principal component analysis. Biometrika 58, 453467.CrossRefGoogle Scholar
Gabriel, K. R. (1981). Biplot display of multivariate matrices for inspection of data and diagnosis. In Interpreting Multivariate Data (ed. Barnett, V.), pp. 147173. Chichester: Wiley.Google Scholar
Gower, J. C. (1966). Some distance properties of latent root and vector methods used in multivariate analysis. Biometrika 53, 325338.Google Scholar
Man Del, J. (1971). A new analysis of variance model for non-additive data. Technometrics 13, 1—18.Google Scholar
Mooers, C. A. (1921). The agronomic placement of varieties. Journal of the American Society of Agronomy 13, 337352.Google Scholar
Mycroft, H. (1983). Variability of yields in cereal variety × fungicide trials. Journal of Agricultural Science, Cambridge 100, 535538.CrossRefGoogle Scholar
Silvey, V. (1982). Analysis of crop variety adaptation from performance trials in England and Wales. In Proceedings of the Xlth International Biometric Conference, pp. 157163. Toulouse.Google Scholar
Taylor, L. R. (1977). Aphid forecasting and the Rothamsted Insect Survey. Journal of the Royal Agricultural Society of England 138, 7597.Google Scholar
Taylor, L. R., Woiwod, I. P., Tatchell, G. M., Dotuch, M. J. & Nicklen, J. (1982). Synoptic monitoring for migrant insect pests in Great Britain and western Europe. III. The seasonal distribution of pest aphids and the annual aphid aerofauna over Great Britain 1975–80. Rothamsted Experimental Station, Annual Report for 1981, part 2, pp. 23122. Harpenden, U. K.Google Scholar
Taylor, L. R., Woiwod, I. P. & Taylor, R. A. J. (1979). The migratory ambit of the hop aphid and its significance in aphid population dynamics. Journal of Animal Ecology 48, 955972.Google Scholar
Williams, W. T. (1976). Pattern Analysis in Agricultural Science. Melbourne: CSIRO.Google Scholar
Wood, J. T. (1976). The use of environmental variables in the interpretation of genotype-environment interaction. Heredity 37, 17.CrossRefGoogle ScholarPubMed
Wright, A. J. (1971). The analysis and prediction of some two factor interactions in grass breeding. Journal of Agricultural Science, Cambridge 76, 301306.CrossRefGoogle Scholar
Yates, F. & Cochran, W. G. (1938). The analysis of groups of experiments. Journal of Agricultural Science, Cambridge 28, 556580.CrossRefGoogle Scholar