Breeding program and animal management
Among the 14 CBBPs, five (Abeta, Buta, Dacha, Dirbedo, and Shosha) were established in 2012 while the remaining were during 2014. Selection of male lambs is being carried at two stages: screening of heavy weaners at weaning (3-month) followed by selection at six months of age (post weaning) by using their estimated breeding values (EBV). When the Bonga CBBP started, selection was carried out at six months. However, because of fast growth potential of the breed, it was noted that many lambs are sold before they reach the selection age. Therefore, the two-stage selection was implemented to keep the best ram lambs within the flock. Candidate lambs which had horn, short tail or black coat color were culled regardless of their EBVs.
Flocks being indoors at night in pens made up of bamboo walls and by any locally available corrugated roofing materials whereas, some farmers kept their flock around homestead at night. Flocks were tethered especially adult male and females during crop cultivation period. Therefore, main feed resource was pasture but additionally crop residue and kitchen leftovers were used. Feed availability and abundance vary with rainfall patterns. Comparatively huge amount of feed was available in the rain season whereas feed was less in both quality and quantity during the dry season.
Data analysis
First, the data were checked for pedigree structure using pedigree viewer then Proc Univariate in Statistical Analysis System (SAS) [
12] was employed prior to any analysis to check for analysis of variances assumptions. The phenotypic evaluation was done using the general linear model procedures of the SAS fitting non-genetic factors like year of birth (7 levels: 2012 through 2018), type of birth (3 level: single, twin, triple, and above), season of birth (2 level: wet and dry), dam parity (7 levels; parity 1 to 6, and 7 and above) and CBBP cooperative (13 levels) as fixed effect for AFL. Whereas lambing year, lambing season, lambing type, CBBP cooperatives and lambing parity at the same level with AFL considered for LI, LS, and ARR. Significant least square means were separated using Adjusted Tukey-Kramer method in SAS. All significant fixed effects were included in the genetic analysis.
Co(variance) components, genetic parameters and breeding values (EBVs) were estimated by restricted maximum likelihood fitting an animal model using WOMBAT software [
13]. The following six univariate for AFL and repeatability for LI, LS, and ARR animal models were tested for each trait. The statistical models used were:
Model 1: y = Xb+Z1a+e
Model 2: y = Xb+Z1a+Z3pe+e
Model 3: y = Xb+Z1a+Z2m+e with Cov(a,m) = 0
Model 4: y = Xb+Z1a+Z2m+e with Cov(a,m) = Aσam
Model 5: y = Xb+Z1a+Z2m+Z3pe+e with Cov(a,m) = 0
Model 6: y = Xb+Z1a+Z2m+Z3pe+e with Cov(a,m) = Aσam
Where, y is n×1 vector of observations for each trait, b is a vector of fixed effects (year, parity, season, sex, CBBP cooperative and birth type), a, m, pe, and e are vector of random effects for direct additive genetic effects, maternal additive genetic effects, animal permanent environmental effect and residual effects, respectively.
X,
Z1,
Z2, and
Z3 are the incidence matrices of fixed effect, direct additive genetic effect, maternal genetic effect and animal permanent environmental effect for LI, LS, and ARR but permanent environmental effect of the dam for AFL. A is the numerator relationship matrix between animals, and σ
am covariance between direct and maternal genetic effects. According to El Fadili et al [
14] the (co)variance structure of the random effects were:
Where, σa2, σm2, σpe2, σc2, σam, and σe2 are direct additive genetic variance, maternal additive genetic variance, animal permanent environmental variance, maternal permanent environmental variance, direct-maternal genetic covariance, and residual variance, respectively. Id and In are identity matrices of an order equal to the number of dams and the number of lambs, respectively.
Estimates of additive direct (h
2a) and additive maternal (h
2m) heritability, ratio of animal permanent environmental variance with phenotypic variance (pe
2) and ratio of maternal permanent environmental variance with phenotypic variance (c
2) were calculated as ratios of estimates of additive direct (σ
a2), additive maternal (σ
m2), animal permanent environmental (σ
pe2), and maternal permanent environmental (σ
c2) variances to the phenotypic variance (σ
p2), respectively. Total heritability was calculated according to the following equation [
15]:
The genetic correlation between direct and maternal genetic effects (r
am) was estimated as the ratio of the estimates of the σ
am to the product of the square roots of the estimates of σ
2a and σ
2m [
16].
The genetic correlation (rg) between traits were estimated as the ratio of the estimates of the genetic covariance between the traits 1 and 2 to the product of the square roots of the estimates of genetic variance for trait 1 and genetic variance for trait 2.
Genetic trends of the traits were estimated by regression of predicted breeding values on the birth year [
17]. Genetic gain was calculated as the difference between the EBVs of last and first year of the program [
18].
Repeatability (r) was estimated according to Mokhtari et al [
19]:
Where, σ2a = additive genetic variance; σ2pe = animal permanent environmental variance σ2p = phenotypic variance.
To determine the most appropriate model likelihood ratio tests (LRT) was used. The significance of model comparison was done from univariate analysis of animal models with and without including the effects as a random effect and compared the final log-likelihoods (Maximum log L) by chi-square distribution for α = 0.05 with one degree of freedom [
20]. An effect was considered to have a significant influence when its inclusion caused a significant increase in log likelihood, compared with the model in which it was ignored.
The LRT was distributed as a χ
2 statistic with degrees of freedom equal to (p
f–p
r). Where LRT = Log likelihood ratio test, L(
x)
f = maximum likelihood for full model, L(
x)
r = maximum likelihood for reduced model, P
f = number of parameter for full model, and P
r = number of parameter for reduced model. If the chi-square distribution value is significance at (p<0.05) the full model is best fit the data [
20].