env_dissimilarity {metan} | R Documentation |
Dissimilarity between environments
Description
Computes the dissimilarity between environments based on several approaches. See the section details for more details.
Usage
env_dissimilarity(.data, env, gen, rep, resp)
Arguments
.data |
The dataset containing the columns related to Environments, Genotypes, replication/block and response variable(s). |
env |
The name of the column that contains the levels of the environments. |
gen |
The name of the column that contains the levels of the genotypes. |
rep |
The name of the column that contains the levels of the replications/blocks. |
resp |
The response variable(s). To analyze multiple variables in a
single procedure a vector of variables may be used. For example |
Details
Roberteson (1959) proposed the partition of the mean square of the
genotype-environment interaction (MS_GE) into single (S) and complex (C)
parts, where S = \frac{1}{2}(\sqrt{Q1}-\sqrt{Q2})^2)
and C =
(1-r)\sqrt{Q1-Q2}
, being r the correlation between the genotype's
average in the two environments; and Q1 and Q2 the genotype
mean square in the environments 1 and 2, respectively. Cruz and Castoldi
(1991) proposed a new decomposition of the MS_GE, in which the complex part
is given by C = \sqrt{(1-r)^3\times Q1\times Q2}
.
Value
A list with the following matrices:
-
SPART_CC
: The percentage of the single (non cross-over) part of the interaction between genotypes and pairs of environments according to the method proposed by Cruz and Castoldi (1991). -
CPART_CC
: The percentage of the complex (cross-over) part of the interaction between genotypes and pairs of environments according to the method proposed by Cruz and Castoldi (1991). -
SPART_RO
: The percentage of the single (non cross-over) part of the interaction between genotypes and pairs of environments according to the method proposed by Robertson (1959). -
CPART_RO
: The percentage of the complex (cross-over) part of the interaction between genotypes and pairs of environments according to the method proposed by Robertson (1959). -
MSGE
: Interaction mean square between genotypes and pairs of environments. -
SSGE
: Interaction sum of square between genotypes and pairs of environments. -
correlation
: Correlation coefficients between genotypes's average in each pair of environment.
Author(s)
Tiago Olivoto tiagoolivoto@gmail.com
References
Cruz, C.D., Castoldi, F. (1991). Decomposicao da interacao genotipos x ambientes em partes simples e complexa. Ceres, 38:422-430.
Robertson, A. (1959). Experimental design on the measurement of heritabilities and genetic correlations. biometrical genetics. New York: Pergamon Press.
Examples
library(metan)
mod <- env_dissimilarity(data_ge, ENV, GEN, REP, GY)
print(mod)