Modeling additive x environment and additive x additive x environment using genetic covariances of relatives of wheat genotypes

In self‐pollinated species, the variance–covariance matrix of breeding values of the genetic strains evaluated in multienvironment trials (MET) can be partitioned into additive effects, additive × additive effects, and their interaction with environments. The additive relationship matrix A can be us...

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Autores principales: Burgueño, Juan, Crossa, José, Cornelius, Paul L., Trethowan, Richard, McLaren, Graham, Krishnamachari, Anitha
Formato: Journal Article
Lenguaje:Inglés
Publicado: Wiley 2007
Acceso en línea:https://hdl.handle.net/10568/166515
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author Burgueño, Juan
Crossa, José
Cornelius, Paul L.
Trethowan, Richard
McLaren, Graham
Krishnamachari, Anitha
author_browse Burgueño, Juan
Cornelius, Paul L.
Crossa, José
Krishnamachari, Anitha
McLaren, Graham
Trethowan, Richard
author_facet Burgueño, Juan
Crossa, José
Cornelius, Paul L.
Trethowan, Richard
McLaren, Graham
Krishnamachari, Anitha
author_sort Burgueño, Juan
collection Repository of Agricultural Research Outputs (CGSpace)
description In self‐pollinated species, the variance–covariance matrix of breeding values of the genetic strains evaluated in multienvironment trials (MET) can be partitioned into additive effects, additive × additive effects, and their interaction with environments. The additive relationship matrix A can be used to derive the additive × additive genetic variance–covariance relationships among strains, Ã. This study shows how to separate total genetic effects into additive and additive × additive and how to model the additive × environment interaction and additive × additive × environment interaction by incorporating variance–covariance structures constructed as the Kronecker product of a factor‐analytic model across sites and the additive (A) and additive × additive relationships (Ã), between strains. Two CIMMYT international trials were used for illustration. Results show that partitioning the total genotypic effects into additive and additive × additive and their interactions with environments is useful for identifying wheat (Triticum aestivum L.) lines with high additive effects (to be used in crossing programs) as well as high overall production. Some lines and environments had high positive additive × environment interaction patterns, whereas other lines and environments showed a different additive × additive × environment interaction pattern.
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spelling CGSpace1665152024-12-22T05:44:47Z Modeling additive x environment and additive x additive x environment using genetic covariances of relatives of wheat genotypes Burgueño, Juan Crossa, José Cornelius, Paul L. Trethowan, Richard McLaren, Graham Krishnamachari, Anitha In self‐pollinated species, the variance–covariance matrix of breeding values of the genetic strains evaluated in multienvironment trials (MET) can be partitioned into additive effects, additive × additive effects, and their interaction with environments. The additive relationship matrix A can be used to derive the additive × additive genetic variance–covariance relationships among strains, Ã. This study shows how to separate total genetic effects into additive and additive × additive and how to model the additive × environment interaction and additive × additive × environment interaction by incorporating variance–covariance structures constructed as the Kronecker product of a factor‐analytic model across sites and the additive (A) and additive × additive relationships (Ã), between strains. Two CIMMYT international trials were used for illustration. Results show that partitioning the total genotypic effects into additive and additive × additive and their interactions with environments is useful for identifying wheat (Triticum aestivum L.) lines with high additive effects (to be used in crossing programs) as well as high overall production. Some lines and environments had high positive additive × environment interaction patterns, whereas other lines and environments showed a different additive × additive × environment interaction pattern. 2007-01 2024-12-19T12:56:21Z 2024-12-19T12:56:21Z Journal Article https://hdl.handle.net/10568/166515 en Wiley Burgueño, Juan; Crossa, José; Cornelius, Paul L.; Trethowan, Richard; McLaren, Graham and Krishnamachari, Anitha. 2007. Modeling additive x environment and additive x additive x environment using genetic covariances of relatives of wheat genotypes. Crop Science, Volume 47 no. 1 p. 311-320
spellingShingle Burgueño, Juan
Crossa, José
Cornelius, Paul L.
Trethowan, Richard
McLaren, Graham
Krishnamachari, Anitha
Modeling additive x environment and additive x additive x environment using genetic covariances of relatives of wheat genotypes
title Modeling additive x environment and additive x additive x environment using genetic covariances of relatives of wheat genotypes
title_full Modeling additive x environment and additive x additive x environment using genetic covariances of relatives of wheat genotypes
title_fullStr Modeling additive x environment and additive x additive x environment using genetic covariances of relatives of wheat genotypes
title_full_unstemmed Modeling additive x environment and additive x additive x environment using genetic covariances of relatives of wheat genotypes
title_short Modeling additive x environment and additive x additive x environment using genetic covariances of relatives of wheat genotypes
title_sort modeling additive x environment and additive x additive x environment using genetic covariances of relatives of wheat genotypes
url https://hdl.handle.net/10568/166515
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