Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học thế giới đề tài: Identification of gametes and treatment of linear dependencies in the gametic QTL-relationship matrix and its inverse | Genet. Sel. Evol. 36 2004 621-642 621 INRA EDP Sciences 2004 DOI gse 2004021 Original article Identification of gametes and treatment of linear dependencies in the gametic QTL-relationship matrix and its inverse Armin Tuchscherer Manfred Mayer Norbert Reinsch Forschungsinstitut fur die Biologie landwirtschaftlicher Nutztiere Forschungsbereich Genetik und Biometrie Wilhelm-Stahl-Allee 2 18196 Dummerstorf Germany Received 29 December 2003 accepted 14 June 2004 Abstract - The estimation of gametic effects via marker-assisted BLUP requires the inverse of the conditional gametic relationship matrix G. Both gametes of each animal can either be identified distinguished by markers or by parental origin. By example it was shown that the conditional gametic relationship matrix is not unique but depends on the mode of gamete identification. The sum of both gametic effects of each animal - and therefore its estimated breeding value - remains however unaffected. A previously known algorithm for setting up the inverse of G was generalized in order to eliminate the dependencies between columns and rows of G. In the presence of dependencies the rank of G also depends on the mode of gamete identification. A unique transformation of estimates of QTL genotypic effects into QTL gametic effects was proven to be impossible. The properties of both modes of gamete identification in the fields of application are discussed. marker assisted selection best linear unbiased prediction linkage analysis gametic relationship matrix 1. INTRODUCTION Fernando and Grossman 2 described how to incorporate genetic markers linked to quantitative trait loci QTL into best linear unbiased prediction BLUP for genetic evaluation. For this the inverse of the conditional gametic relationship matrix G is needed. This matrix mirrors the co- variances between QTL allele effects of all animals for a marked QTL MQTL . For offspring of so-called informative matings the paternal or maternal origin of gametes .
