# Joint modeling of additive and non-additive genetic line effects in single field trials

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## Abstract

A statistical approach is presented for selection of best performing lines for commercial release and best parents for future breeding programs from standard agronomic trials. The method involves the partitioning of the genetic effect of a line into additive and non-additive effects using pedigree based inter-line relationships, in a similar manner to that used in animal breeding. A difference is the ability to estimate non-additive effects. Line performance can be assessed by an overall genetic line effect with greater accuracy than when ignoring pedigree information and the additive effects are predicted breeding values. A generalized definition of heritability is developed to account for the complex models presented.

## Keywords

Epistatic Effect Total Genetic Variation Pedigree Information Narrow Sense Heritability Best Linear Unbiased Predictor## Notes

### Acknowledgements

Thanks to the Grain Research Development Corporation (GRDC) who fund the research of Helena Oakey through a Grains Industry Research Scholarship. Arūnas Verbyla and Brian Cullis also thank GRDC. We are grateful to the breeders and technical staff of Australian Grain Technologies for access to the grain yield and pedigree data used in this study.

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