Chunfa Tong and Jisen Shi (tongchf@njfu.edu.cn)

*Key Laboratory of Genetics
& Biotechnology ( Nanjing Forestry *

GSCA is a Windows software
for computing general combining abilities (GCA) and specific combining
abilities (SCA) in a diallel mating design. The
algorithm is based on restricted linear models and can be deal with missing
data. In addition to providing GCA and SCA estimates, GSCA gives hypothesis
testing for model, various factors and differences between GCAs
or SCAs.

GSCA
focuses on treating the following linear model of diallel
mating design with fixed effects:

_{}

where _{} is the _{}th observation of the *l*th block within _{}th environment for the _{}th cross; _{}is the overall mean; _{} is the _{}th environment effect; _{} is the _{}th block effect in the _{}th environment; _{} and _{} are the GCA
effects of the _{}th female and _{}th male respectively; _{} is the SCA effect
of the *i*th and *j*th
parents; _{} is the reciprocal
effect due to the cross between the_{}th female and the_{}th male; _{}and _{} are the _{}th environment with the _{}th and the_{}th GCA interactions respectively; _{}is the _{}th environment with the _{}th SCA interaction; _{}is the interaction of the _{}th environment with the reciprocal
effect of_{}; and _{}is the within plot error term.

The
model can be reduced to some simpler forms that include Griffing’s
four kinds of diallel cross. For a half-diallel mating design in a single site, the model will be
altered to

_{}

The software and its manual can be freely downloaded
from the following links.

Chunfa Tong , Guangxin Liu, Liwei Yang, and Jisen Shi. 2012. GSCA: new software and algorithms to analyse diallel mating designs based on restricted linear model. Silvae Genetica, 61(3):