Skip to main content
Log in

Linear and non-linear regression analysis of genotype X environment interactions in pearl millet

  • Originals
  • Published:
Theoretical and Applied Genetics Aims and scope Submit manuscript

Summary

Regression analysis was computed on the grain yield of 15 single cross F1 hybrids of pearl millet (Pennisetum typhoides (Burm.) S. & H.) evaluated in 20 environments at 19 sites in India to assess the nature of genotype X environment interactions. Linear, quadratic, cubic, twoand three-intersecting straight line models were examined for fit. The interactions of six hybrids viz. MH 110, MH 113, MH 114, MH 115, MH 120 and MBH 110 were explained by the linear regression model. The response of the remaining nine hybrids was largely non-linear. The two and three-intersecting straight line models fit better than the quadratic and cubic models and explained non-linearity of response. The two-intersecting straight line models fit for 6 hybrids MH 106, MH 107, MH 112, MH 116, MH 117 and BJ 104. The response of MH 109 was best explained by a three-intersecting straight line model, but there still existed a significant remainder variation. The truncation of environmental range by assuming moving division points was more efficient than the fixed division points for the segmental regression models. The stability of hybrid varieties on the best fitting model has been discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Eberhart SA, Russell WA (1966) Stability parameters for comparing varieties. Crop Sci 6:36–40

    Google Scholar 

  • Finlay KW, Wilkinson GN (1963) The analysis of adaptation in a plant breeding programme. Aust J Agric Res 14:742–754

    Google Scholar 

  • Jinks JL, Pooni HS (1979) Non-linear genotype X environment interactions arising from response thresholds. I. Parents, F1's and selections. Heredity 43:57–70

    Google Scholar 

  • Mariani BM, Manmana PN, Stefanini R (1983) Efficiency of linear and multiphase regression methods to evaluate genotype-environment interaction for grain yield and protein content in Italian durum wheat varieties. Z Pflanzen-zücht 90:56–67

    Google Scholar 

  • Perkins JM, Jinks JL (1968 a) Environmental and genotype environmental components of variability. III. Multiple lines and crosses. Heredity 23:339–356

    Google Scholar 

  • Perkins JM, Jinks JL (1968 b) Environmental and genotypeenvironmental components of variability. IV. Non-linear interactions for multiple inbred lines. Heredity 23:525–535

    Google Scholar 

  • Perkins JM, Jinks JL (1973) The assessment and specificity of environmental and genotype-enironmental components of variability. Heredity 30:111–126

    Google Scholar 

  • Pooni HS, Jinks JL (1980) Non-linear genotype X environment interaction. II. Statistical models and genetical control. Heredity 45:389–400

    Google Scholar 

  • Verma MM, Chahal GS, Murty BR (1978) Limitations of conventional regression analysis — a proposed modification. Theor Appl Genet 53:89–91

    Google Scholar 

  • Virk DS, Virk PS (1986) Regression analysis of genotype X environment interactions in pearl millet. Proc 6th Eucarpia Meeting Sect. Biometrics Plant Breed, University of Birmingham (UK), 309–322

    Google Scholar 

  • Virk DS, Virk PS, Harinarayana G, Arora BS, Kumar R (1986) Analysis of linear and non-linear genotype X environment interactions in pearl millet. SABRAO J 18:45–52

    Google Scholar 

  • Yates F, Cochran WG (1938) The analysis of groups of experiments. J Agric Sci 28:556–580

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by B.R. Murty

Rights and permissions

Reprints and permissions

About this article

Cite this article

Virk, D.S., Virk, P.S., Mangat, B.K. et al. Linear and non-linear regression analysis of genotype X environment interactions in pearl millet. Theoret. Appl. Genetics 75, 736–740 (1988). https://doi.org/10.1007/BF00265597

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00265597

Key words

Navigation