GSCA 1.0

A Windows Software for Computing Combining Abilities in a Diallel Mating Design

Chunfa Tong  and  Jisen Shi  (


Key Laboratory of Genetics & Biotechnology (Nanjing Forestry University), Ministry of Education, China


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 lth 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 ith and jth parents;  is the reciprocal effect due to the cross between theth female and theth male; and  are the th environment with the th and theth 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.


GSCA 1.0


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):