Table 1.

Correspondence between the Eqs. 2 to 5, the value for the ‘fct’ string in the ‘lm.diallel()’ function and the syntax for the ‘lm()’ function

Equation	Model name in 'lm.diallel()'	Model notation in 'lm()'
Equation 2	HAYMAN1	Y ~ GCA(Par1, Par2) + tSCA(Par1, Par2) + RGCA(Par1, Par2) + RSCA(Par1, Par2)
Equation 2a	GRIFFING1	Y ~ GCA(Par1, Par2) + tSCA(Par1, Par2) + REC(Par1, Par2)
Equation 2b	GRIFFING2	Y ~ GCA(Par1, Par2) + tSCA(Par1, Par2)
Equation 3	HAYMAN2	Y ~ GCA(Par1, Par2) + MDD(Par1, Par2) + DD(Par1, Par2) + SCA(Par1, Par2) + RGCA(Par1, Par2) + RSCA(Par1, Par2)
Equation 4	GE2	Y ~ H.BAR(Par1, Par2) + VE.i(Par1, Par2) + H.i(Par1, Par2) + SCA(Par1, Par2)
Equation 5	GE3	Y ~ H.BAR(Par1, Par2) + SP(Par1, Par2) + GCAC(Par1, Par2) + SCA(Par1, Par2)

^aTerms are redefined as: $r_{\mathit{ij}}=r{g}_i^a+r{g}_j^b+r{s}_{\mathit{ij}}$

^bThe term r_ij is not included