Identification of crop cultivars with consistently high lignocellulosic sugar release requires the use of appropriate statistical design and modelling

Table 2 Summary of the models fitted and their corresponding log likelihood

Model	Equation	Field and laboratory terms^a	Cultivar by trial interaction^b	Log likelihood	Number of variance parameters	Heritability
						2010	2011
A	2	Z_uu = 0	$θ_{g_{1} g_{2}} = 0$	-88376.08	4	0.12	0.20
B	1	Z_uu ≠ 0	$θ_{g_{1} g_{2}} = 0$	-70884.82	26	0.37	0.43
C	1	Z_uu ≠ 0	$θ_{g_{1} g_{2}} = 0.66$	-70853.58	27	0.46	0.49

^aZ_uu = 0 implies the terms indexed with a L or F are not included in the model (see Methods and associated Tables 3 and 4); ^b $θ_{g_{1} g_{2}} = 0$ implies the genetic covariance between the two trials is zero and that no cultivar by trial interaction is fitted. This is equivalent to fitting the two trials separately.

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