Estimation in a multiplicative mixed model involving a genetic relationship matrix

Genetics Selection Evolution

Volumn 41, Issue 1, 2009, Pages

  Kelly, Alison M ^a   Cullis, Brian R ^b   Gilmour, Arthur R ^c   Eccleston, John A ^d   Thompson, Robin ^e  

^a DEPARTMENT OF AGRICULTURE AND FISHERIES   (Australia)

^b NSW DEPARTMENT OF PRIMARY INDUSTRIES   (Australia)

^c NSW DEPARTMENT OF PRIMARY INDUSTRIES   (Australia)

^d UNIVERSITY OF QUEENSLAND   (Australia)

^e ROTHAMSTED RESEARCH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COVARIANCE ANALYSIS; GENETIC ANALYSIS; GENOTYPE; MATRIX; PLANT BREEDING;

EID: 77949789041     PISSN: 0999193X     EISSN: 12979686     Source Type: Journal    
DOI: 10.1186/1297-9686-41-33     Document Type: Article

References (18)

1. The analysis of crop cultivar breeding and evaluation trials: An overview of current mixed model approaches. AB Smith BR Cullis R Thompson, J Agric Sci 2005 143 1 14 10.1017/S0021859605005587
2. Joint modelling of additive and non-additive genetic line effects in single field trials. H Oakey AP Verbyla W Pitchford BR Cullis H Kuchel, Theor Appl Genet 2006 113 809 819 10.1007/s00122-006-0333-z 16896718
3. Modelling genotype × environment interaction using additive genetic covariances of relatives for predicting breeding values of wheat genotypes. J Crossa J Burgueno P Cornelius G McLaren R Trethowan A Krishnamachari, Crop Sci 2006 46 1722 1733 10.2135/cropsci2005.11-0427
4. Joint modelling of additive and non-additive (genetic line) effects in multi-environment trials. H Oakey AP Verbyla BR Cullis W Xianming W Pitchford, Theor Appl Genet 2007 114 1319 1332 10.1007/s00122-007-0515-3 17426958
5. Modelling additive × environment and additive × additive × environment using genetic covariances of relatives of wheat genotypes. J Burgueno J Crossa P Cornelius R Trethowan G McLaren A Krishnamachari, Crop Sci 2007 47 311 320 10.2135/cropsci2006.09.0564
6. Analysing variety by environment data using multiplicative mixed models and adjustments for spatial field trend. AB Smith BR Cullis R Thompson, Biometrics 2001 57 1138 1147 10.1111/j.0006-341X.2001.01138.x 11764254
7. The accuracy of varietal selection using factor analytic models for multi-environment plant breeding trials. AM Kelly AB Smith JA Eccleston BR Cullis, Crop Sci 2007 47 1063 1070 10.2135/cropsci2006.08.0540
8. A sparse implementation of the average information algorithm for factor analytic and reduced rank variance models. R Thompson BR Cullis AB Smith AR Gilmour, Aust N Z J Stat 2003 45 445 460 10.1111/1467-842X.00297
9. Restricted maximum likelihood estimation of genetic principal components and smoothed covariance matrices. K Meyer M Kirkpatrick, Genet Sel Evol 2005 37 1 30 10.1051/gse:2004034 15588566
10. A simple method for computing the inverse of a numerator relationship matrix used in prediction of breeding values. CJ Henderson, Biometrics 1976 32 69 83 10.2307/2529339
11. Computing the diagonal elements and inverse of a large numerator relationship matrix. R Quaas, Biometrics 1976 32 949 953 10.2307/2529279
12. Computing inbreeding coefficients in large populations. THE Meuwissen Z Luo, Genet Sel Evol 1992 24 305 313 10.1051/gse:19920402
13. AR Gilmour BR Cullis BJ Gogel SJ Welham R Thompson, ASReml, user guide. Release 2.0 Hemel Hempstead: VSN International Ltd 2006
14. Recovery of interblock information when block sizes are unequal. HD Patterson R Thompson, Biometrika 1971 31 100 109
15. Average information REML: an efficient algorithm for variance parameter estimation in linear mixed models. AR Gilmour R Thompson BR Cullis, Biometrics 1995 51 1440 1450 10.2307/2533274
16. On the design of early generation variety trials with correlated data. BR Cullis AB Smith NE Coombes, J Agric Biol Env Stat 2006 11 381 393 10.1198/108571106X154443
17. DS Falconer TFC Mackay, Introduction to Quantitative Genetics London: Longman Scientific and Technical 4 1996
18. Quantitative trait loci (QTL) detection in multi-cross inbred designs: Recovering QTL identical-by-descent status information from marker data. S Crepieux C Lebreton B Servin G Charmet, Genetics 2004 168 1737 1749 15579720 10.1534/genetics.104.028993