CRDR

varComp

<p>Calculate the correlated response to selection (CRDR) based on the fitted
model. The CRDR is calculated as described by Atlin et al. E.g. for a model
with trials nested within scenarios, which has a random part that looks like
this: genotype + genotype:scenario + genotype:scenario:trial the CRDR is
calculated as:
$$H1 = \sigma_G^2 / (\sigma_G^2 + \sigma_S^2 / s + \sigma_{ST}^2 / st +
\sigma_E^2 / str)$$
$$H2 = (\sigma_G^2 + \sigma_S^2) / (\sigma_G^2 + \sigma_S^2 +
\sigma_{ST}^2 / st + \sigma_E^2 / str)$$
$$CRDR = (\sigma_G^2 / (\sigma_G^2 + \sigma_S^2)) * sqrt(H1 / H2)$$
In these formulas the $\sigma$ terms stand for the standard deviations of
the respective model terms, and the lower case letters for the number of
levels for the respective model terms. So $\sigma_S$ is the standard
deviation for the scenario term in the model and $s$ is the number of
scenarios. $\sigma_E$ corresponds to the residual standard deviation and
$r$ to the number of replicates.</p>

Analysis of multi environment data of plant breeding experiments
following the analyses described in Malosetti, Ribaut,
and van Eeuwijk (2013), <doi:10.3389/fphys.2013.00044>.
One of a series of statistical genetic packages for streamlining the analysis of
typical plant breeding experiments developed by Biometris.
Some functions have been created to be used in conjunction with the R
package 'asreml' for the 'ASReml' software, which can be obtained upon
purchase from 'VSN' international (<http://www.vsni.co.uk/software/asreml-r>).

Bart-Jan van Rossum

statgenGxE

Genotype by Environment (GxE) Analysis

Fred van Eeuwijk

Martin Boer

Marcos Malosetti

Daniela Bustos-Korts

Emilie J Millet

Joao Paulo

Maikel Verouden

Willem Kruijer

Ron Wehrens

Choazhi Zheng

CRDR function

Calculate the correlated response to selection — CRDR

Calculate the correlated response to selection

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CRDR: Calculate the correlated response to selection

Description

Usage

Arguments

References

See Also