BLUP methodology can be used for marker assisted genetic evaluation (MAGE) (Fernando and Grossman, 1989). MAGE is most useful for traits that have low heritability. Lowly heritable traits are also known to have non additive inheritance. Although BLUP is computationally efficient under additive inheritance, it is inefficient under non additive inheritance. 

L. R Totir, Rohan L Fernando, Jack CM Dekkers, S. A Fernandez

Proceedings of the World Congress on Genetics Applied to Livestock Production, Volume 2002. Session 16, , 16.02, 2002
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