Skip to main content

Efficient computation of the inverse of gametic relationship matrix for a marked QTL

Abstract

Best linear unbiased prediction of genetic merits for a marked quantitative trait locus (QTL) using mixed model methodology includes the inverse of conditional gametic relationship matrix (G-1) for a marked QTL. When accounting for inbreeding, the conditional gametic relationships between two parents of individuals for a marked QTL are necessary to build G-1 directly. Up to now, the tabular method and its adaptations have been used to compute these relationships. In the present paper, an indirect method was implemented at the gametic level to compute these few relationships. Simulation results showed that the indirect method can perform faster with significantly less storage requirements than adaptation of the tabular method. The efficiency of the indirect method was mainly due to the use of the sparseness of G-1. The indirect method can also be applied to construct an approximate G-1 for populations with incomplete marker data, providing approximate probabilities of descent for QTL alleles for individuals with incomplete marker data.

(To access the full article, please see PDF)

Author information

Affiliations

Authors

Corresponding author

Correspondence to Mehdi Sargolzaei.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Sargolzaei, M., Iwaisaki, H. & Colleau, J. Efficient computation of the inverse of gametic relationship matrix for a marked QTL. Genet Sel Evol 38, 253 (2006). https://doi.org/10.1186/1297-9686-38-3-253

Download citation

Keywords

  • BLUP
  • indirect method
  • inverse of gametic relationship matrix
  • marked QTL
  • tabular method