Table 3. Heritability (±s.e.) for male morphotypes and female reproductive statuses estimated with four different statistical models.

Sex	Traits	Model		σA 2 (σS 2)	σE 2	h2 (underlying)	h2 (observed)
Male	SM	1	Animal	0.0733	0.0584	0.56±0.04
		2	Sire	0.01530	0.0981	0.54±0.05
		3	Logit	1.041	1	0.96±0.09	0.42
		4	Probit	0.315	1	0.98±0.09	0.43
	OC	1	Animal	0.0357	0.196	0.15±0.02
		2	Sire	0.0123	0.214	0.22±0.03
		3	Logit	0.2350	1	0.27±0.04	0.17
		4	Probit	0.0892	1	0.33±0.05	0.21
	BC	1	Animal	0.0241	0.113	0.18±0.02
		2	Sire	0.735×10−2	0.122	0.20±0.03
		3	Logit	0.348	1	0.38±0.05	0.10
		4	Probit	0.108		0.39±0.05	0.10
	OBC	1	Animal	0.0089	0.0491	0.15±0.02
		2	Sire	0.421×10−2	0.0530	0.29±0.04
		3	Logit	0.649	1	0.66±0.09	0.20
		4	Probit	0.161	1	0.55±0.08	0.17
	NC	1	Animal	0.518×10−3	0.0454	0.015±0.007
		2	Sire	0.364×10−3	0.0456	0.034±0.016
		3	Logit	0.121	1	0.14±0.08	0.03
		4	Probit	0.0239	1	0.09±0.06	0.02
Female	MOF	1	Animal	0.225×10−4	0.187	0.001±0.003
		2	Sire	0.117×10−7	0.187	n.e.
		3	Logit	0.287×10−4	1	n.e.
		4	Probit	0.224×10−3	1	0.001±0.002
	BF	1	Animal	0.686×10−2	0.205	0.03±0.01
		2	Sire	0.390×10−2	0.208	0.07±0.02
		3	Logit	0.089	1	0.10±0.02	0.06
		4	Probit	0.0326	1	0.13±0.07	0.08
	SF	1	Animal	0.0107	0.1994	0.05±0.01
		2	Sire	0.486×10−2	0.204	0.09±0.02
		3	Logit	0.112	1	0.13±0.03	0.08
		4	Probit	0.414	1	0.16±0.03	0.10

1 = LMM animal model, 2 =  LMM sire model, 3  =  GLMM sire model using logit link function, and 4 =  GLMM sire model using probit link function.

σ_A ²  =  Genetic variance (model 1), σ_S ²  =  Sire variance (models 2, 3 and 4) and σ_E ²  =  Environmental variance, n.e.  =  non-estimable.

Trait abbreviation in Table 1.