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Abstract
In Oil Palm Breeding trials the plots have palms at vertices of equilateral triangles with side length of 9 m. The plots consist of 6x6 = 36 palms, hence a plot is a rectangle of 46.8 x 54m. The number of tested varieties is 20 – 40, the experimental design needed is an incomplete block design, with usually 3 replications; the alpha-designs can give a connected incomplete block design. Current Oil Palm planting materials are DxP hybrid based on crossing selected dura palms (female parents) with pisifera palms (male parents) to produce tenera palms with thin shelled fruits. The crossing scheme of A dura and B pisifera is an incomplete diallel if he number of crossings C is smaller than A*B. To make a connected crossing scheme the alpha-design can be used. In the analysis of an oil palm breeding trial an additive model of the dura and pisifera effects is applied to estimate the general combining ability of the parents after removing the fixed replication effect and the random blocks within the replication effects. The analysis can be done with the package SAS or IBM SPSS Statistics with program Mixed; further with R and the R package lme4.
Highlights
In Oil Palm Breeding trials the plots have palms at vertices of equilateral triangles with side length of 9 m
Hogen Esch, the deputy director of the Netherlands State “Institute for Research on Varieties of Field Crops” in Wageningen and the head of the Statistical Department of that Institute, Rob Verdooren, to advise COBORU with the set-up of variety testing and the design of variety trials to cope with the climatic regions in Poland
Because the field plots of the tenera palms, which are planted at the side of an equilateral triangle with sides of 9 m, are quite large, the breeder must use an incomplete block design
Summary
In 1966 Poland wished to reorganize the variety testing of field crops. The director of the in 1966 new founded Polish “Centre for Research on Varieties of Agricultural Crops (COBORU = Centralny Osrodek Badania Odmian Roslin Uprawnych)” in Słupia Wielka, Dr Eugeniusz Bilski, invited J. My advice to COBORU was to apply Incomplete Block designs in the variety trials, because the number of varieties was too large to lay down in homogeneous complete blocks, and further to use not more than three replications per experimental site but instead to go for more experimental sites. I demonstrated how to find the BLUE by hand for a small variety-trial example with the iterative Kuiper-Corsten method and mentioned that in the analysis of incomplete block designs with the iterative procedure, there was a missing link namely for the calculation of the standard error of varietal contrasts. Dr Desmond Patterson showed the work by him and his PhD student Emlyn Williams about the extension of the Incomplete Block designs with alpha-designs These alpha-designs are very useful for Variety Testing because they make it easier to find designs for a large number of varieties and different (even small) sizes of incomplete blocks.
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