Brian Cullis

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Competition modelling in sorghum plant breeding trials Trial characteristics and agronomy • Trials are sown as a rectangular array • Plots are 1.5 × 10m and contain two plot-rows of plants • Midge necessitates spray-out rows as shown below (denoted by “x”, others given by hybrid code) Column Row 1 2 3 ... 18 19 20 1 729 103 175 ... 234 669 493 2 184 511 18 ... 22 465 786 . . . . . . . 10 733 47 379 ... 769 80 485 11 x x x ... x x x 12 x x x ... x x x 13 361 179 524 ... 8 221 189 . . . . . . . 22 371 151 747 ... 788 660 326 23 x x x ... x x x 24 x x x ... x x x 25 255 621 196 ... 194 69 247 . . . . . . . 63 474 635 38 ... 697 734 11 64 326 786 309 ... 547 70 598 . . . VSN Applied Statistics Conference 2011 Modelling variance structures of multi-term effects
Competition modelling in sorghum plant breeding trials Genetic design • Aim of the PYTM trial is to promote about 10% of the F 4 males to the next level of testing • 783 F 4 males were crossed with one female • The 783 males came from 48 full-sib families 40 30 Percent of Total 20 10 0 0 20 40 60 80 F4 family VSN Applied Statistics Conference 2011 Modelling variance structures of multi-term effects
Page 1 and 2: Modelling variance structures of mu
Page 3 and 4: Linear mixed model The model Let y
Page 5 and 6: R-structures General Framework •
Page 7 and 8: Separability Direct products in R-s
Page 9 and 10: Separability Direct products in G-s
Page 11 and 12: Syntax for multi-term variance mode
Page 13 and 14: Multi-site toy example Recall: mult
Page 15 and 16: Salinity tolerance in bread wheat A
Page 17 and 18: Salinity tolerance in bread wheat P
Page 19 and 20: Salinity tolerance in bread wheat M
Page 21 and 22: Salinity tolerance in bread wheat M
Page 23 and 24: Competition modelling in sorghum pl
Page 25: Competition modelling in sorghum pl
Page 37 and 38: Partial compositing example from Sm

Brian Cullis

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