Have a personal or library account? Click to login
GSCA: New Software and Algorithms to Analyse Diallel Mating Designs Based on Restricted Linear Model Cover

GSCA: New Software and Algorithms to Analyse Diallel Mating Designs Based on Restricted Linear Model

Open Access
|Aug 2017

References

  1. BECKER, W. A. (1975): Manual of quantitative genetics. Washington State Univ. Press, Pullman, WA.
  2. BURLEY, J., P. M. BURROWS, F. B. ARMITAGE and R. D. BARNES (1966): Progeny test designs for Pinus patula in Rhodesia. Silvae Genet. 15: 166-173.
  3. FALCONER, D. S. (1981): Introduction to quantitative genetics. Longman and Co., New York, NY.
  4. GARDNER, H. D., W. P. WILLIANS and G. L. WINDHAM (2007): Diallel analysis of aflatoxin accumulation in maize. Field Crops Research 102: 60-63.10.1016/j.fcr.2007.02.001
  5. GILBERT, N. E. (1958): Diallel cross in plant breeding. Heredity 12: 477-492.10.1038/hdy.1958.48
  6. GRIFFING, B. (1956a): Concept of general and specific combining ability in relation to diallel crossing systems. Aust. J. Biol. Sci. 9: 463-493.10.1071/BI9560463
  7. GRIFFING, B. (1956b): A generalized treatment of the use of diallel crosses in quantittive inheritance. Heredity 10: 31-50.10.1038/hdy.1956.2
  8. HALLAUER, A. R. and J. B. MIRANDA (1981): Quantitative genetics in maize breeding. Iowa State Univ. Press, Ames, IO.
  9. HUBER, D. A., T. L. WHITE, R. C. LITTELL and G. R. HODGE (1992): Ordinary least squares estimation of general and specific combining abilities from half-diallel mating designs. Silvae Genet. 41(4-5): 263-273.
  10. JINKS, J. L. (1954): The analysis of continuous variation in a daillel cross of Nicotiana rustica varieties. Genetics 39: 767-788.10.1093/genetics/39.6.767120968817247519
  11. JOHNSON, G. R. and J. N. KING (1998): Analysis of halfdiallel mating designs: I - A practical analysis procedure for ANOVA approximation. Silvae Genet. 47: 74-79.
  12. JONSSON, A., I. DORMLING, G. ERIKSSON and L. NORELL (1992) GCA variance components in 36 Pinus sylvestris L. full-sib families cultivated at five nutrient levels in a growth chamber. Forest Science 38: 575-593.
  13. MAYO, O. (1987): The theory of plant breeding. 2nd Edition. Oxford University Press. 334pp.
  14. MURRAY, L. W., I. M. RAY, H. DONG and A. SEGOVIA-LERMA (2003): Clarification and reevaluation of populationbased diallel analyses: Gardner and Eberhart analyses II and III revisited. Crop Sci. 43: 1930-1937.10.2135/cropsci2003.1930
  15. NELDER, J. A. (1977): A reformulation of linear models. J. R. Statist. Soc. A. 140: 48-76.
  16. RAO, C. R., H. TOUTENBURG, SHALABH and C. HEUMANN (2008): Linear models and generalizations: Least squares and alternatives. Springer, New York.
  17. SCHAFFER, H. E. and R. A. USANIS (1969): General least squares analysis of diallel experiments. North Carolina State University, Genetics Department Research Report, Number 1, 61pp.
  18. SNYDER, E. B. (1975): Combining-ability determinations for incomplete mating designs. USDA Forest Service, Southern Forest Experiment Station, General Technical Report SO-9.
  19. SNYDER, E. B. and G. NAMKOONG (1978): Inheritance in a diallel crossing experiment with longleaf pine. In: USDA For. Serv. Res. Pap. So-140. South. For. Exp. Stn., New Orleans, LA. 31pp.
  20. SPARAGUE, G. F. and L. A. TATUM (1942): General vs. specific combining ability in single crosses of corn. J. Amer. Soc. Agron. 34: 923-932.10.2134/agronj1942.00021962003400100008x
  21. WANG, S. G. and S. C. CHOW (1994): Advanced linear models: Theory and applications. Marcel Dekker, Inc., New York.
  22. WU, H. X. and A. C. MATHESON (2000): Analysis of halfdiallel mating design with missing crosses: Theory and SAS program for testing and estimating GCA and SCA effects. Silvae Genet 49: 130-137.
  23. WU, H. X. and A. C. MATHESON (2001): Analysis of halfdiallel mating design with missing crosses: Theory and SAS program for testing and estimating GCA and SCA variance components. Silvae Genet. 50: 265-271.
  24. WU, H. X. and A. C. MATHESON (2005): Genotype by environment interactions in an Australian-wide radiata pine diallel mating experiment: Implications for regionalized breeding. Forest Science 51(1): 29-40.
  25. XIANG, B. and B. LI (2001): A new mixed analytical method for genetic analysis of diallel data. Can. J. For. Res 31: 2252-2259.
  26. YEH, F. C. and J. C. HEAMAN (1987): Estimating genetic parameters of height growth in seven-year old coastal Douglas-fir from disconnected diallels. Forest Science 33: 946-957.
  27. ZHANG, Y. D. and M. S. KANG (1997): DIALLEL-SAS: A SAS program for Griffing’s diallel analysis. Agron. J. 89: 176-182.
  28. ZHANG, Y. D., M. S. KANG and K. R. LAMKEY (2005): DIALLEL- SAS05: A comprehensive program for Griffing’s and Gardner-Eberhart analysis. Agron. J. 97: 1097-1106.
DOI: https://doi.org/10.1515/sg-2012-0016 | Journal eISSN: 2509-8934 | Journal ISSN: 0037-5349
Language: English
Page range: 126 - 132
Submitted on: Dec 3, 2001
Published on: Aug 1, 2017
Published by: Johann Heinrich von Thünen Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2017 Chunfa Tong, Guangxin Liu, Liwei Yang, Jisen Shi, published by Johann Heinrich von Thünen Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.