The effect of the H−1 scaling factors t and w on the structure of H in the single‑step procedure

• Autores: Martini, Johannes W. R.; Schrauf, Matías Florián; García Baccino, Carolina Andrea; Pimentel, Eduardo C. G.; Munilla Leguizamón, Sebastián; Rogberg Muñoz, Andrés; Cantet, Rodolfo Juan Carlos; Reimer, Christian; Gao, Ning; Wimmer, Valentin; Simianer, Henner
• Año de publicación: 2018
• Idioma: inglés
• Tipo de recurso: artículo
• Fuente: Genetics selection evolution; Vol.50, no.16; 9; http://www.biomedcentral.com/
• Materia: CONVERGENCE; CONVERGENT EVOLUTION; COVARIANCE ANALYSIS; DATA SET; GENOMICS; GENOTYPE; PARAMETERIZATION; PREDICTION; REDUCTION; RELATEDNESS; WHEAT; TRITICUM AESTIVUM
• Institución: Universidad de Buenos Aires. Facultad de Agronomía

Fil: Martini, Johannes W. R. KWS SAAT SE, Einbeck, Germany.
Fil: Schrauf, Matías Florián. Universidad de Buenos Aires. Facultad de Agronomía. Departamento de Producción Animal. Buenos Aires, Argentina.
Fil: García Baccino, Carolina Andrea. Universidad de Buenos Aires. Facultad de Agronomía. Departamento de Producción Animal. Buenos Aires, Argentina.
Fil: Pimentel, Eduardo C. G. Institute of Animal Breeding, Bavarian State Research Center for Agriculture. Poing‑Grub, Germany.
Fil: Munilla Leguizamón, Sebastián. Universidad de Buenos Aires. Facultad de Agronomía. Departamento de Producción Animal. Buenos Aires, Argentina.
Fil: Rogberg Muñoz, Andrés. Universidad de Buenos Aires. Facultad de Agronomía. Departamento de Producción Animal. Buenos Aires, Argentina.
Fil: Cantet, Rodolfo Juan Carlos. Universidad de Buenos Aires. Facultad de Agronomía. Departamento de Producción Animal. Buenos Aires, Argentina.
Fil: Reimer, Christian. University of Goettingen. Animal Breeding and Genetics Group, Center for Integrated Breeding Research. Goettingen, Germany.
Fil: Gao, Ning. University of Goettingen. Animal Breeding and Genetics Group, Center for Integrated Breeding Research. Goettingen, Germany.
Fil: Wimmer, Valentin. KWS SAAT SE, Einbeck, Germany.
Fil: Simianer, Henner. University of Goettingen. Animal Breeding and Genetics Group, Center for Integrated Breeding Research. Goettingen, Germany.
Background: The single-step covariance matrix H combines the pedigree-based relationship matrix A with the more accurate information on realized relatedness of genotyped individuals represented by the genomic relationship matrix G. In particular, to improve convergence behavior of iterative approaches and to reduce inflation, two weights t and w have been introduced in the definition of H−1, which blend the inverse of a part of A with the inverse of G. Since the definition of this blending is based on the equation describing H−1, its impact on the structure of H is not obvious. In a joint discussion, we considered the question of the shape of H for non-trivial t and w. Results: Here, we present the general matrix H as a function of these parameters and discuss its structure and properties. Moreover, we screen for optimal values of t and w with respect to predictive ability, inflation and iterations up to convergence on a well investigated, publicly available wheat data set. Conclusion: Our results may help the reader to develop a better understanding for the effects of changes of t and w on the covariance model. In particular, we give theoretical arguments that as a general tendency, inflation will be reduced by increasing t or by decreasing w.
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