Estimation of genetic parameters for pre-weaning growth traits in Dorper sheep under local Chinese conditions

Article information

Anim Biosci. 2026;39.250570
Publication date (electronic) : 2025 November 14
doi : https://doi.org/10.5713/ab.250570
1College of Animal Science, Inner Mongolia Agricultural University, Hohhot, China
2Inner Mongolia Sino Sheep Technology Co., Ltd., Ulanqab, China
3Key Laboratory of Sheep Genetic Breeding and Reproduction Technology, Ministry of Agriculture and Rural Affairs, Ulanqab, China
4Key Laboratory of Mutton Sheep Genetics and Breeding, Ministry of Agriculture, Hohhot, China
5Inner Mongolia Key Laboratory of Sheep & Goat Genetics, Breeding and Reproduction, Hohhot, China
*Corresponding Author: Yongbin Liu, Tel: +86-0471-4312304, E-mail: Liuyongbin@imau.edu.cn. Yanjun Zhang, Tel: +86-0471-4301619, E-mail: imauzyj@163.com
aThese authors contributed equally to this work.
Received 2025 August 8; Revised 2025 September 22; Accepted 2025 November 7.

Abstract

Objective

This study aimed to estimate non-genetic factors, variance components, and genetic parameters, including heritability, genetic/phenotypic correlations for birth weight (BW), weaning weight (WW), average daily gain (ADG), and Kleiber ratio (KR) traits of Dorper sheep under localized Chinese conditions.

Methods

Data from 2,022 Dorper sheep lambs, collected between 2019 and 2021 at Inner Mongolia Sano Sheep Breeding Co., Ltd. were analyzed. Traits included BW, WW adjusted to 90 days, ADG, and KR. Generalized linear model (R 4.3.1) assessed non-genetic factors, including recipient dam age, sex, birth year, month, and herd. Six animal models were evaluated using ASReml’s AIREML to determine the most suitable model for estimating genetic parameters while bivariate models were utilized to analyze genetic and phenotypic correlations.

Results

Recipient dam age, sex, birth year, month, and herd significantly affected all traits (p<0.05). Model 2, which incorporates direct additive genetic and maternal permanent environmental effects, was determined to be optimal. Heritability was low (BW: 0.0215; WW: 0.0287; ADG: 0.0391; KR: 0.0504). BW showed a negative genetic correlation with WW, ADG, and KR. In contrast, WW showed a strong positive genetic correlation with ADG (0.9952) and KR (0.9984), along with high phenotypic correlations with these traits (0.9829 and 0.8819, respectively).

Conclusion

The low heritability limits direct selection for pre-weaning traits. Prioritizing WW enhances indirect genetic gains for ADG and KR, facilitating the optimization of Dorper sheep breeding strategies under Chinese intensive systems.

INTRODUCTION

Sheep are a globally vital livestock resource and hold strategic importance for China’s animal husbandry. China possesses 7.7% of global sheep genetic resources, with 110 sheep breeds (including 58 native breeds, 38 cultivated breeds, and 14 introduced breeds), forming a genetically diverse germplasm system optimized for meat, wool and fur production [1,2]. In 2023, sheep stock reached 192.98 million, with mutton production at 5.18 million tons [3]. However, the mutton market still faces an annual supply-demand gap of 416,000 tons due to rising consumer [4], highlighting the urgency of accelerating high-quality breeding. Breed improvement has advanced via targeted introduction global germplasm like Dorper sheep, leveraging hybrid vigor to develop climate-resilient breeds adapted to northern China’s semi-arid regions [5]. Dorper sheep, a South African meat sheep breed, have gained global prominence for their adaptability and productivity [6]. This breed was developed in the 1930s by crossing Blackhead Persian sheep (dam line) and Dorset Horn sheep (sire line) [7]. Since China introduced Dorper sheep from Australia in 2001, the breed has been expanded and popularized it in Henan, Anhui, Inner Mongolia, Jilin, and other places through embryo transfer and other techniques. The Dorper sheep have been used as the terminal parent for crossbreeding with local breeds, giving rise to newly cultivated breeds such as Huanghuai meat sheep [8], Dumeng sheep [4], Luxi blackhead sheep [9], and Shuangqian meat sheep [10], which exhibit pronounced hybrid vigor.

Pre-weaning traits (birth weight [BW], weaning weight [WW], average daily weight gain [ADG] and Kleiber ratio [KR]) directly determine production efficiency in large-scale breeding. Genetic parameter estimation is essential for breeding strategy optimization. It reported estimates of heritability of WW include 0.23 in Akkaraman sheep [11], 0.22 in Dağlıç Sheep [12], 0.31 in Doyogena sheep [13], 0.20 in Sangsari sheep [14]. Differences in the heritability of different breeds of sheep are influenced not only by genetic factors but also by environmental factors [15,16], necessitating a deep dissection of these components when estimating genetic parameters. Current Dorper sheep genetic evaluations focus on foreign populations, lacking systematic assessments of pre-weaning trait heritability, genetic correlations, and genotype-environment interactions in China. This study aimed to estimate variance components and genetic parameters for pre-weaning traits in Dorper sheep. By comparing and analyzing estimation discrepancies across different animal models, we determined the optimal model for early growth traits and study models’ feasibility in Dorper sheep under local Chinese conditions.

MATERIALS AND METHODS

Animals and data collection

All experimental data and pedigree records were obtained from Inner Mongolia Sano Sheep Breeding, including 2,022 early growth trait records of Dorper sheep collected from 2019 to 2021. The dataset was rigorously preprocessed in Excel: records with issues like incorrect ear tags, missing gender or production performance data, incomplete phenotypic measurements, and outliers outside “mean±3σ” were excluded, resulting in 1,999 lambing records involving 14 sires and 328 dams. The study focused on four early growth traits—BW, WW (adjusted to 90 days due to varying weaning ages), pre-weaning ADG, and pre-weaning KR. The KR is an indirect selection method used to measure feed conversion. The KR before weaning is calculated as follows [17]:

(1) ADG=W1-BWD
(2) WW=BW+ADG×90
(3) KR=ADGWW0.75

Where, W1 = WW, D = number of days between weaning date and date of birth.

Feeding practices

The experimental population was housed at the company’s production base situated in Ulanqab (41°10′−43°22′N, 110°20′−113°00′E), a semi-arid continental monsoon climate zone with 313.8 mm annual precipitation (60%–70% in summer) and summer temperatures averaging below 20°C.

The sheep were reproduced by artificial insemination and LOPU-IVF-ET at 18 months of age. Newborn lambs were ear-tagged and weighed within 24 hours post-partum, with dam-suckling permitted during grazing until 30 days old. From 2 months postpartum, lambs received twice-daily suckling sessions (morning/evening) alongside daytime hay supplementation until weaning. Post-weaning lambs were transitioned to unified feeding regimens in grouped pens.

Fixed effects

The fixed factors, including the birth year (2019–2021), birth month (ten months), herd (ten herds), sex (male or female), and age of recipient dam (2–4 years old), were analyzed using a General Linear Model (GLM) procedure using R software ver. 4.3.1. Post-hoc pairwise comparisons were conducted using Duncan’s multiple range test to determine homogeneous subsets among significantly different factor levels. A statistical model of GLM for the trait of per-weaning is described below:

(4) yijklmr=μ+Yi+Hj+Mk+Sl+Am+eijklmr

Where yijklmr is the individual observation, μ is the overall mean, Yi is fixed effect of birth year, Hj is fixed effect of herd, Mk is fixed of birth month, Sl is fixed of sex, and Am is fixed of age of recipient dam, and eijklmr is the residual error.

Genetic parameters estimation

Genetic parameters of pre-weaning growth traits were estimated by the AI-REML method using the ASReml ver. 4.1 [18]. Maternal permanent environmental effects (Model 2) were included to account for consistent non-genetic influences from recipient dams (e.g., milk quality, rearing behavior) across multiple offspring, a critical factor in embryo-transferred populations. Finally, we calculated the fitting parameters for six single-trait animal models and determined the optimal model for each trait using Akaike information criterion (AIC), Bayesian information criterion (BIC), and likelihood ratio test (LRT) tests. We estimated heritability using single-trait models, calculated genetic correlations between trait combinations using bivariate analysis, and then estimated heritability. The animal models are as follows:

(5) Model 1:y=Xb+Z1a+e
(6) Model 2:y=Xb+Z1a+Z3c+e
(7) Model 3:y=Xb+Z1a+Z2m+ewithCOV(a,m)=0
(8) Model 4:y=Xb+Z1a+Z2m+ewithCOV(a,m)=Aσam
(9) Model 5:y=Xb+Z1a+Z2m+Z3c+ewithCOV(a,m)=0
(10) y=Xb+Z1a+Z2m+Z3c+ewithCOV(a,m)=Aσam

Where y is a vector of observed traits; b, a˜N(0,Aσa2),m˜N(0,Aσm2),c˜N(0,Idσa2), are vectors of fixed, direct additive genetic, maternal additive genetic, maternal permanent environmental effects, respectively. e˜N(0,Inσe2) is a vector of residual effect; X, Z1, Z2, and Z3 are correlation structure matrices for these effects relating b, a, m, and c to y. It was assumed as follows [19]:

(11) [Aσa2Aσam00AσmaAσm20000Idσc20000Inσe2]

A represent the additive genetic correlation matrix, and Id and In are identity matrices of records equal to the number of dams and lambs, respectively. All components with the phenotypic variance ( σp2) being the sum of σa2,σm2,σc2, and σe2 were derived at convergence.

The direct heritability:

(12) hd2=σa2σp2

The maternal heritability:

(13) hm2=σm2σp2

The proportion of phenotypic variance attributable to maternal permanent environmental effects:

(14) c2=σc2σp2

The total heritability:

(15) ht2=σa2+σm2+2σamσp2

The genetic correlation between the direct and maternal effects:

(16) ram=σamσa2×σm2

The direct-maternal correlation (ram) was computed as the ratio of the estimates of the direct maternal covariance (σam) to the product of the square roots of the estimates of σa2 and σm2. The accuracy of the different model estimates was tested using the AIC as follow:

(17) AIC=2k-2In (L)

Where L represents the maximum likelihood value of the model, and k denotes the total number of parameters to be estimated.

A lower AIC value indicates a better balance between model fit and complexity, reflecting superior explanatory power while controlling for overfitting [20].

The BIC is a model selection criterion similar to AIC, balancing goodness-of-fit and complexity. The BIC was as follow:

(18) BIC=kln (n)-2ln (L)

Where L is the maximum likelihood value of the model, k is the number of parameters in the model, and n is the sample size. Consequently, the model with the smallest BIC among candidate models is typically selected as optimal.

To identify the most appropriate model for the target traits, a LRT was employed. This test evaluates the statistical significance of additional parameters by comparing the likelihood functions of nested models, ultimately determining the simplest model that retains strong explanatory power. A LRT was performed to obtain the appropriate model as given below [21]:

(19) LRT=-2logL1L2

Where L1 and L2 denote the maximum likelihood values of model 1 and model 2, respectively. Model 1 is a sub-model of model 2. LR follows a chi-square distribution, with degrees of freedom equal to the difference in the number of parameters between Model 2 and Model 1. A statistically significant test result (p<0.05) indicates that the additional parameter(s) in Model 2 have a meaningful impact on the trait; otherwise, their effect is deemed non-significant. Furthermore, genetic and phenotypic correlations between traits were estimated using bivariate animal models. These models were constructed based on the optimal model selected for each trait. The structure of the bivariate model is as follows [22]:

(20) [y1y2]=[X100X2][b1b2]+[Z100Z2][a1a2]+[e1e2]

Where y1 and y2 represent the vectors of observed traits 1 and 2. b1 and b2 are the vectors of fixed effects. a1 and a2 denote the vectors of additive genetic effects. e1 and e2 correspond the vectors of residual effects. The design matrices X1 and X2 associate observations with fixed effects, while Z1 and Z2 link the traits to their respective additive genetic effects. Genetic and phenotypic correlations between the two traits were estimated following the methodology outlined by Alam et al [23].

RESULTS

Descriptive statistics

The description statistics for early growth traits are shown in Table 1. The average BW was 3.94 kg with a coefficient of variation (CV) of 18.38%. The average WW was 29.12 kg with a CV of 15.14%. The average ADG was 0.28 kg/d with a CV of 17.44%. The average KR was 0.02 with a CV of 6.69%. These values highlight significant trait variability, which is essential for the genetic assessment and improvement of Dorper sheep.

Description statistics for early growth traits of Dorper sheep

Environmental effects of pre-weaning traits

The least square mean and standard deviation for each trait of Dorper sheep are shown in Table 2. The effects of recipient dam age, sex, birth year, birth month and herd were highly significant (p<0.01) on early growth traits. In terms of recipient dam age, lambs born to 2-year-old and 4-year-old dams exhibited significantly higher BW than those born to 3-year-old dams (p<0.05). Conversely, offspring of 3-year-old dams achieved the highest WW, ADG, and KR, which were significantly greater than those of lambs from 2-year-old and 4-year-old dams (p<0.05). With respect to sex, male lambs outperformed females across all growth traits, with statistically significant differences observed for each trait (p<0.05). Regarding birth year effects, lambs born in 2019 and 2021 had significantly higher BW compared to those born in 2020 (p<0.05). For WW, ADG, and KR, the highest values were recorded in 2020-born individuals, while the lowest were observed in 2019-born lambs, with significant differences among the three years (p<0.05). Among birth months, lambs born in April displayed the highest BW (4.58±0.79 kg), which was significantly greater than that of lambs born in most other months (p<0.05). Lambs born in December achieved the highest WW (33.08±4.10 kg) and ADG (0.32±0.05 kg/d), whereas those born in July showed the lowest performance across all traits, with significant variations between different months (p<0.05). Comparisons across herds revealed that Herds 1, 5, and 9 had higher BW, with Herd 4 showing the lowest BW (3.41±0.68 kg). Herds 1, 2, and 5 performed better in terms of WW and ADG, while Herd 7 exhibited the lowest values. Significant differences were observed for most traits between herds (p<0.05).

Least squares mean (±SD) for pre-weaning traits of Dorper sheep

Estimation of variance components for pre-weaning growth traits in Dorper sheep

The variance components and genetic parameters of BW, WW, ADG, and KR estimated by the six models are listed in Table 3. The heritability of BW estimated by different models ranged from 0.0215 (model 5) to 0.0484 (model 4). The maternal heritability ranged from 3.58×10−7 (model 5) to 0.0134 (model 4), and the variance ratio of the maternal permanent environmental effects was 0.2880 (model 2) to 0.2941 (model 6). The direct genetic correlation with maternal heritability was −0.9997 for model 4 and −0.9839 for model 6, showing a negatively correlated.

Estimates of the (co)variance components and the genetic parameters for pre-weaning growth traits

It was estimated that the correlation of WW heritability is between 0.0026 (model 6) and 0.0444 (model 4), maternal heritability is between 2.91×10−8 (model 5) and 0.0248 (model 4), the variance ratio of the maternal permanent environmental effects is be-tween 0.3185 (model 6) and 0.3214 (model 2), and that of direct genetic effect with ma-ternal heritability is −0.4121 (model 4) and −0.2054 (model 6).

The ADG heritability estimated by different models was between 0.0391 (model 2) and 0.1295 (model 6), the maternal heritability range was between 8.48×10−6 (model 5) and 0.0505 (model 4), and the variance ratio of the maternal permanent environmental effects was between 0.3090 (model 2) and 0.3219 (model 6). There was a highly negative correlation between the direct additive effect and maternal genetic correlation, which was estimated to be −0.8347 by model 6 and −0.7925 by model 6.

The KR heritability estimated by different models was between 0.0501 (model 5) and 0.1489 (model 6), the maternal heritability range was between 0.0003 (model 5) and 0.0726 (model 4), and the variance ratio of the maternal permanent environmental effects was between 0.2730 (model 5) and 0.2980 (model 6). The direct additive effect had a highly negative correlation with the maternal genetic effect, ranging from −0.9785 (model 6) to approximately −0.9556 (model 4).

Comparison of different animal models

Comparison of different models using Akaike information criterion and Bayesian information criterion

The −2LogL, AIC and BIC values for different animal models are listed in Table 4. The AIC and BIC values of model 4 were the largest in terms of BW, WW, ADG and KR. The AIC values were 157.4228, 7,088.7874, −10,614.5899, and −24,305.9189, while the BIC values were 179.8244, 7,111.1609, −10,592.2164, and −24,283.5454, respectively. According to the judgment criteria of AIC and BIC, the smaller the AIC or BIC value, the better the model fit and the more moderate the complexity. The minimum values of AIC for the pre-weaning growth traits (BW, WW, ADG, KR) were 130.4091, 7,056.4486, −10,644.0815, −24,327.6934, respectively. Model 2 (including direct additive genetic and maternal permanent environment effect) was the optimal model for each trait. Based on the BIC analysis, model 2 also provided the best genetic parameter estimates for each trait.

Standard values of AIC and BIC information for traits in different animal models

Comparison of different models using likelihood ratio test

The LRT results of pre-weaning growth traits are shown in Table 5. There were significant differences among the models regarding BW, WW, ADG, and KR traits. Increasing the maternal permanent environment effect in the model significantly improved the model’s goodness of fit, with Model 2 outperforming the other models. The results of the LRT were consistent with the results of the optimal model derived from the AIC and BIC. Based on optimal models, the direct heritability ( ha2) was varied from 0.0215 for BW to 0.0504 for KR. The inclusion of maternal permanent environment effect (c2) in the model had a significant influence on BW WW, ADG, and KR, reduces the ha2 estimate, and they explain 28.8%, 32.14%, 30.9% and 27.31% of the phenotypic variation, respectively.

Likelihood ratio test results of pre-weaning growth traits

Heritability, genetic and phenotypic correlation among traits

The heritability, phenotypic and genetic correlation estimates between pre-weaning growth traits of Dorper sheep are represented in Table 6. The heritability of BW, WW, ADG, and KR were estimated to be 0.0215, 0.0287, 0.0391 and 0.0504, respectively, using optimal model (model 2) for each trait, which belonged to low heritability. BW was negatively genetically correlated with WW (−0.7546), ADG (−0.9728), and KR (−0.4991) traits. WW had a positive genetic correlation with ADG (0.9952) and KR (0.9984). WW also had a positive phenotypic correlation with ADG (0.9829) and KR (0.8819). Consistent with the negative genetic correlations between BW and WW/ADG/KR (Table 6), selecting for larger BW alone would hinder improvements in post-natal growth, emphasizing the need to prioritize maternal environmental factors (e.g., recipient milk quality). So indirect selection for ADG and KR could be achieved by selecting for WW, which gained its own faster genetic progression. WW can be used as an efficient selection index for combined genetic improvement of multiple traits.

Genetic and phenotypic correlation for pre-weaning early growth traits in Dorper sheep

DISCUSSION

Dorper sheep are known for their ability to thrive in a wide range of environments, from arid regions to temperate climates, making them a valuable asset for farmers worldwide. The first-generation hybrids of Dorper sheep crossed with local Chinese sheep breeds exhibit faster weight gain rates and significantly improved meat production performance [24]. Estimation of genetic parameters for pre-weaning growth traits (BW, WW, ADG, KR) in Dorper sheep is important for early selection of breeding.

Environmental effects

The phenotypic characteristics of growth traits in sheep are shaped by a combination of genetic and environmental factors, including birth year, month, sex, herd, and maternal age. In Dorper sheep, recipient dam age exerted a highly significant effect (p<0.01) on BW, WW, ADG, and KR. This suggests that maternal physiological conditions during gestation and lactation directly influence early postnatal growth traits [25]. Herd effects significantly impacted all pre-weaning traits (p<0.01), highlighting the critical role of standardized management across breeding units. Variations in feeding regimens, health protocols, and housing conditions drove phenotypic divergence, a pattern consistent with findings in Chinese superfine merino sheep [26]. Temporal factors such as birth year and month also played pivotal roles, reflecting seasonal fluctuations in climate and management strategies. Similar temporal effects were observed in Mandya and Corriedale sheep, where birth year strongly influenced BW and WW [27,28]. Sex differences were pronounced in Dorper lambs, with males outperforming females across all traits, aligning with hormonal and metabolic ad-vantages reported in Avikalin sheep [29]. This contrasts with Sonadi sheep, where neither sex nor birth type affected KR [30], suggesting genetic or environmental inter-actions may mitigate sex-based growth disparities in certain breeds. Additionally, while Magotra [31] identified sex and birth type as critical drivers of BW, WW, and ADG across breeds, KR was solely influenced by sex, further emphasizing trait-specific sensitivity to environmental factors.

Model comparisons

On the basis of environmental effects, we performed genetic parameters and compared six different animal models. The LRT revealed significant differences among the six animal models for all investigated traits (BW, WW, ADG, KR), with Model 2—incorporating both direct additive genetic effects and maternal permanent environmental effects—consistently emerging as the optimal model. This model demonstrated superior goodness of fit, evidenced by the lowest AIC values of traits (AIC = 130.4091 for BW, 7,056.4486 for WW, −10,644.0815 for ADG, and −24,327.6934 for KR). The maternal permanent environmental effects (e.g., uterine conditions, postnatal care) reduces the ha2 estimate, and they explain 28.8%, 32.14%, 30.9% and 27.31% of the phenotypic variation, respectively, aligning with findings in Dumeng sheep [4], where maternal environmental contributions were critical for pre-weaning trait. The results of Kushwaha et al [32] demonstrated that direct heritability estimates for all traits were significantly inflated when maternal permanent environmental effects were omitted from the model. Comparative model analyses revealed that biologically reliable and precise heritability estimates could only be achieved by simultaneously incorporating both direct additive genetic effects and maternal permanent environmental effects into the analytical model. Model 2’s optimal fit and low trait heritability are non-contradictory, reflecting the embryo transfer population’s characteristics. Low direct heritability hd2=0.0026-0.1489; Table 3) and total heritability ( ht2=0.0109-0.0565; Table 3) were primarily driven by two interrelated factors: The LOPU-IVF-ET technology decoupled the genetic source (donor ewes) from the environmental source (recipient ewes), as recipients exclusively determined fetal uterine development and postnatal lactation supply (Materials and Methods). This decoupling substantially diluted the contribution of direct additive genetic effects to phenotypic variation. Maternal additive genetic effects of donors were weakly expressed (maximum maternal heritability hm2=0.0726; Table 3), and negative genetic correlations between direct and maternal additive effects (ram = −0.2054 to −0.9997; Table 3) further offset total genetic variance. Collectively, Model 2 provides the most accurate genetic parameters for guiding Dorper sheep breeding under LOPU-IVF-ET systems, with key implications: optimizing recipient ewe management (e.g., lactation nutrition regulation) will be critical to improving the efficiency of pre-weaning trait improvement.

Genetic parameters estimate

The heritability estimates for pre-weaning traits in this study were consistently low, with clear population-specific and technical drivers. The heritability estimates for BW in this study (0.0215) was also similar to findings in Awassi sheep [33], was low heritability. Notably, while Tesema et al [34] reported higher total heritability (0.10 for BW) in Dorper × indigenous sheep, this discrepancy primarily arises from population genetic background and reproductive management differences: their crossbred population inherently harbors greater additive genetic variation due to heterosis, whereas our purebred Dorper population (14 sires, 328 dams; Table 1) has limited genetic diversity. Additionally, Dorper×indigenous sheep relied on natural breeding, where maternal genetic and environmental effects are biologically linked, whereas our use of LOPU-IVF-ET decouples the genetic source (donor ewes) from the environmental source (recipient ewes). In our study, fetal development and postnatal lactation depend entirely on the recipient’s uterine environment and milk supply (Materials and Methods), which dilutes direct additive genetic effects—this explains why our BW heritability (0.0215) is lower than that of South African Dorper sheep (0.07) raised under natural breeding [16]. WW exhibited low heritability (0.0287) in this study, in line with trends in Dumeng sheep [4], but lower than estimates for Alpine Merino sheep [35] and Jordan Awassi sheep [36], possibly due to the smaller population size here (n<3,000 vs. n>5,000 in other studies), as larger populations generally yield more accurate heritability estimates. ADG also exhibited low heritability (0.0391) in this study, lower than that reported for Central Anatolian Merino sheep [37], Mecheri sheep [38], Boer goats [39], and Barbari goats [40]. KR showed low heritability (h2 = 0.0504), comparable to Sangsari sheep [14], models that included direct additive genetic effects and maternal permanent environment effects had significant effects on KR. Large values for maternal permanent environmental effects consistent with the biological characteristics of ruminant embryonic development under assisted reproduction. Maternal permanent environmental effects strongly impacted early growth traits, as lambs depend on maternal milk supply pre-weaning and are sensitive to environmental changes (e.g., feeding conditions). Small changes in the feeding environment, nutritional quality of feed, drinking water conditions and feeding management level of the ewes may have a direct or indirect significant effect on the WW of the lambs, preweaning daily weight gain and other growth indicators. Thus, the effect of maternal permanent environment is particularly prominent in this critical period before weaning.

Genetic and phenotypic correlation

Estimates using the best animal model 2 showed that the absolute values of the genetic correlation coefficients for BW, WW, ADG, and KR ranged from 0.4991 to 0.9984. BW was negatively genetically correlated with WW (−0.7546), ADG (−0.9728), and KR (−0.4991) traits. The study of Behrem [37] stated that the genetic correlation coefficient between newborn weight and WW of Merino sheep was −0.30, and the study of Arzik et al [11] concluded that the genetic correlation between BW and WW was negative, which is the same as the results of the present study. Negative genetic correlations between BW and post-weaning growth traits suggesting that direct selection for BW may have an antagonistic effect on the improvement of later growth traits to avoid compromising overall breeding progress by simply pursuing initial BW. WW had a positive genetic correlation with ADG (0.9952) and KR (0.9984). WW also had a positive phenotypic correlation with ADG (0.9829) and KR (0.8819). The high genetic correlation between ADG, WW and KR is similar to that expressed by Similar results to Ghafouri-Kesbi et al [41] estimate of 0.91 for Mehraban sheep and Gholizadeh and Ghafouri-Kesbi [42] estimate of 0.93 for Baluchi sheep, and Shokrollahi and Baneh [43] in Arabi sheep. So indirect selection for ADG and KR could be achieved by selecting for WW, which gained its own faster genetic progression. WW can be used as an efficient selection index for combined genetic improvement of multiple traits.

CONCLUSION

Model 2 was optimal model for analyzing BW, WW, ADG, KR. These traits showed low heritability (0.0215–0.0504), indicating challenges in direct genetic improvement. Strong trait relationships were observed, with genetic correlation coefficients between WW and ADG, WW and KR, ADG and KR were 0.9952, 0.9984, and 0.9597, respectively. While corresponding phenotypic correlations were 0.9829, 0.8819, and 0.9437. The heritability of early growth traits is at a low level and genetic selection for improvement is relatively slow. Genetic improvement of other growth traits can be achieved by selection for WW. Breeders should prioritize recipient dam nutrition (e.g., energy intake during lactation) to enhance WW, leveraging its high genetic correlation with ADG and KR to accelerate genetic gain under intensive management.

Notes

CONFLICT OF INTEREST

Authors Dayong Chen, Yunhui Ma, Huijie He, and Jie Liu are employed at Inner Mongolia Sino sheep Technology Co., Ltd. This organization played no role in sponsoring or product advertising. The authors declare no financial interests or relevant conflicts of interest.

AUTHOR’S CONTRIBUTION

Conceptualization: Wang R, Chen D, Liu Y.

Data curation: Wang R, Wang X, Zhang L, Shi Y, Liu B, Liu J.

Formal analysis: Wang X, Zhang L, Li J.

Methodology: Wang R, Wang X, Zhang L, Liu Y.

Software: Wang X.

Validation: Wang X, Zhang L.

Investigation: Ma Y.

Writing - original draft: Wang R, Wang X.

Writing - review & editing: Wang R, Wang X, Zhang L, Shi Y, Liu B, Li J, Chen D, Ma Y, He H, Liu J, Liu Y, Zhang Y.

FUNDING

This reported work was supported by the Inner Mongolia Autonomous Region “Leading the Charge with Open Competition” topic (2022JBGS0024), the Fundamental Research Funds of Directly Subordinate Universities of Inner Mongolia Autonomous Region (BR221108), the Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region (NMGIRT2322), the Inner Mongolia Autonomous Region Breeding Joint Research Project (YZ2023011), the earmarked fund for China Agriculture Research System of Mutton Sheep (CARS-38), Science and Technology Plan of Inner Mongolia Autonomous Region (2023KYPT0021), the Fundamental Research Funds of Directly Subordinate Universities of Inner Mongolia Autonomous Region (BR251201) and Inner Mongolia Education Department Special Research Project For First Class Disciplines (YLXKZX-NND-007).

ACKNOWLEDGMENTS

The authors have reviewed and edited the output and take full responsibility for the content of this publication. The authors are grateful to the College of Animal Science, Inner Mongolia Agricultural University for the use of experimental facilities and the Inner Mongolia Sano Sheep Breeding Co., Ltd. for the experimental samples.

SUPPLEMENTARY MATERIAL

Not applicable.

ETHICS APPROVAL

All experimental procedures involving animals complied with the Experimental Animal Welfare Guidelines issued by the Ministry of Science and Technology (China) and received formal approval from the Biomedical Ethics Review Committee of Inner Mongolia Agricultural University (Ethics Approval Number: [2020] 056). Prior written consent was secured from all animal care-givers authorizing their animals’ inclusion in this research program.

DECLARATION OF GENERATIVE AI

No AI tools were used in this article.

DATA AVAILABILITY

Upon reasonable request, the datasets of this study can be available from the corresponding author.

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Article information Continued

Table 1

Description statistics for early growth traits of Dorper sheep

Item BW (kg) WW (kg) ADG (kg/d) KR
No. of animals in pedigree 2,022 2,022 2,022 2,022
No. of sires 14 14 14 14
No. of dams 328 323 323 323
No. of records 1,999 1,985 1,985 1,985
Average number of progenies per sire 142.78 141.78 141.78 141.78
Average number of progenies per dam 6.09 6.15 6.15 6.15
Mean 3.94 29.12 0.28 0.02
SD 0.72 4.41 0.05 0.001
CV (%) 18.38 15.14 17.44 6.69

No. of animals in pedigree is the total number of animals; No. of sires is the quantity of male parents in the pedigree; No. of dams is the quantity of female parents in the pedigree; No. of records is the total number of data records for each trait; Mean is the arithmetic mean value of the trait data.

BW, birth weight; WW, weaning weight; ADG, average daily gain weight from birth to weaning; KR, Kleber ratio from birth to weaning (ADG/WW0.75); SD, standard deviation; CV, coefficient of variation.

Table 2

Least squares mean (±SD) for pre-weaning traits of Dorper sheep

Factors n BW (kg) n WW (kg) n ADG (kg/d) n KR
Overall 1,999 3.94±0.72 1,985 29.12±4.41 1,985 0.28±0.05 1,985 0.02±0.001
Dam age1) ** ** ** **
 2 326 4.03±0.68a 326 27.46±3.41c 326 0.26±0.04c 326 0.022±0.001c
 3 687 3.80±0.80b 681 30.01±4.80a 681 0.29±0.05a 681 0.023±0.002a
 4 986 4.01±0.67a 978 29.07±4.25b 978 0.28±0.05b 978 0.022±0.001b
Sex ** ** ** **
 Male 1,091 4.01±0.72a 1,085 30.68±4.41a 1,085 0.30±0.05a 1,085 0.023±0.001a
 Female 908 3.86±0.72b 900 27.24±3.60b 900 0.26±0.04b 900 0.022±0.001b
Birth year ** ** ** **
 2019 129 4.08±0.77a 129 26.77±3.00c 129 0.25±0.03c 129 0.021±0.001c
 2020 609 3.64±0.69b 606 30.12±4.61a 606 0.29±0.05a 606 0.023±0.001a
 2021 1,261 4.07±0.69a 1,250 28.88±4.31b 1,250 0.28±0.05b 1,250 0.022±0.001b
Birth month ** ** ** **
 2 22 4.22±1.05bc 22 32.07±2.98a 22 0.31±0.03ab 22 0.023±0.001ab
 3 275 4.01±0.46bcd 273 27.76±3.56c 273 0.26±0.04d 273 0.022±0.001c
 4 124 4.58±0.79a 122 29.17±4.86bc 122 0.27±0.05cd 122 0.022±0.001c
 5 86 4.29±0.96ab 85 28.69±4.30bc 85 0.27±0.05cd 85 0.022±0.002c
 7 6 3.80±1.19d 6 22.72±3.42d 6 0.21±0.03e 6 0.020±0.001d
 8 427 3.69±0.89d 426 28.76±4.69bc 426 0.28±0.05cd 426 0.022±0.002bc
 9 236 3.71±0.55d 234 29.93±4.26b 234 0.29±0.04bc 234 0.023±0.001b
 10 198 4.00±0.61bcd 198 27.90±3.58bc 198 0.27±0.04d 198 0.022±0.001c
 11 494 3.97±0.62bcd 490 29.28±4.21bc 490 0.28±0.05cd 490 0.022±0.001bc
 12 131 3.94±0.40cd 129 33.08±4.10a 129 0.32±0.05a 129 0.023±0.001a
Herd ** ** ** **
 1 13 4.52±0.94a 13 33.06±3.00a 13 0.32±0.04a 13 0.023±0.001a
 2 7 3.83±1.25b 7 31.54±1.92ab 7 0.31±0.02ab 7 0.023±0.001a
 3 494 4.02±0.58b 493 28.41±3.51c 493 0.27±0.04d 493 0.022±0.001b
 4 374 3.41±0.68c 372 29.87±4.10bc 372 0.29±0.05bc 372 0.023±0.001a
 5 126 3.99±0.32b 124 33.27±3.99a 124 0.33±0.04a 124 0.023±0.001a
 6 179 3.83±0.77b 179 28.88±4.90c 179 0.28±0.05cd 179 0.022±0.002b
 7 83 4.07±0.70b 83 25.45±3.39d 83 0.24±0.03e 83 0.021±0.001c
 8 126 3.92±0.43b 124 27.91±3.48c 124 0.27±0.04d 124 0.022±0.001b
 9 74 4.70±0.87a 72 31.22±4.71ab 72 0.29±0.05bc 72 0.022±0.001b
 10 523 4.13±0.72b 518 28.82±4.69c 518 0.27±0.05cd 518 0.022±0.002b
1)

Age of recipient Dam.

a–e

Within a column, means without a common superscript letter differ significantly, p<0.01.

**

p<0.01.

SD, standard deviation; BW, birth weight; WW, weaning weight; ADG, average daily gain; KR, Kleiber ratio.

Table 3

Estimates of the (co)variance components and the genetic parameters for pre-weaning growth traits

Traits Models σa2 σm2 σam σc2 σe2 σp2 hd2 hm2 c2 ht2 ram
BW Model 1 0.0097 0.3699 0.3796 0.0256 0.0256
Model 2 0.0082 0.1093 0.2619 0.3794 0.0215 0.2880 0.0215
Model 3 0.0097 5.29×10−7 0.3699 0.3796 0.0256 1.39×10−6 0.0256
Model 4 0.0179 4.97×10−4 −0.0095 0.3674 0.3715 0.0484 0.0134 0.0109 −0.9997
Model 5 0.0082 1.36×10−7 0.1093 0.2619 0.3794 0.0215 3.58×10−7 0.2880 0.0215
Model 6 0.0158 0.0041 −0.0079 0.1096 0.2589 0.3726 0.0424 0.0110 0.2941 0.0109 −0.9839
WW Model 1 0.5179 12.5291 13.0469 0.0397 0.0397
Model 2 0.3738 4.1894 8.4727 13.0358 0.0287 0.3214 0.0287
Model 3 0.3641 0.0694 12.5866 13.0201 0.0280 0.0053 0.0333
Model 4 0.5731 0.3209 −0.1767 12.3811 12.9217 0.0444 0.0248 0.0418 −0.4121
Model 5 0.3723 3.78×10−7 4.1895 8.4738 13.0355 0.0286 2.91×10−8 0.3214 0.0286
Model 6 0.0332 0.2458 −0.0185 4.1398 8.6164 12.9981 0.0026 0.0189 0.3185 0.0186 −0.2054
ADG Model 1 7.56×10−5 0.0015 0.0016 0.0482 0.0482
Model 2 6.13×10−5 4.84×10−4 0.0010 0.0016 0.0391 0.3090 0.0391
Model 3 7.54×10−5 2.62×10−8 0.0015 0.0016 0.0481 1.67×10−5 0.0481
Model 4 1.83×10−4 7.59×10−5 −9.35×10−5 0.0014 0.0015 0.1220 0.0505 0.0481 −0.7925
Model 5 6.13×10−5 1.33×10−8 4.85×10−4 0.0010 0.0016 0.0391 8.48×10−6 0.3090 0.0391
Model 6 1.95×10−4 7.19×10−5 −9.87×10−5 4.83×10−4 0.0009 0.0015 0.1295 0.0479 0.3219 0.0459 −0.8347
KR Model 1 8.25×10−8 1.38×10−6 1.46×10−6 0.0565 0.0565
Model 2 7.37×10−8 3.99×10−7 9.89×10−7 1.46×10−6 0.0504 0.2731 0.0504
Model 3 8.17×10−8 6.84×10−10 1.38×10−6 1.46×10−6 0.0560 0.0005 0.0565
Model 4 1.97×10−7 9.82×10−8 −1.33×10−7 1.32×10−6 1.35×10−6 0.1458 0.0726 0.0218 −0.9556
Model 5 7.32×10−8 5.08×10−10 3.99×10−7 9.89×10−7 1.46×10−6 0.0501 0.0003 0.2730 0.0504
Model 6 2.02×10−7 9.70×10−8 −1.37×10−7 4.03×10−7 9.25×10−7 1.35×10−6 0.1489 0.0716 0.2980 0.0184 −0.9785

σa2, direct additive genetic variance; σm2, maternal additive genetic variance; σam, direct-maternal genetic covariance; σc2, maternal permanent environmental variance; σe2, residual variance; σp2, phenotypic variance; hd2,direct heritability; hm2, maternal heritability; c2, variance ratio of the maternal permanent environmental effects; ht2, total heritability; ram, direct-maternal genetic correlation; BW, birth weight; WW, weaning weight; ADG, average daily gain; KR, Kleiber ratio.

Table 4

Standard values of AIC and BIC information for traits in different animal models

Traits Models −2 log L AIC BIC
BW Model 1 150.3102 154.3102 165.5110
Model 2 124.4091 130.4091 147.2103
Model 3 150.3104 156.3104 173.1116
Model 4 149.4228 157.4228 179.8244
Model 5 124.4092 132.4092 154.8108
Model 6 123.6413 133.3472 161.3492
WW Model 1 7,080.3235 7,084.3235 7,095.5102
Model 2 7,050.4486 7,056.4486 7,073.2287
Model 3 7,080.2461 7,086.2461 7,103.0263
Model 4 7,080.7874 7,088.7874 7,111.1609
Model 5 7,050.4484 7,058.4484 7,080.8219
Model 6 7,052.0188 7,061.7003 7,089.6671
ADG Model 1 −10,623.4113 −10,619.4113 −10,608.2246
Model 2 −10,650.0815 −10,644.0815 −10,627.3014
Model 3 −10,623.4111 −10,617.4111 −10,600.6311
Model 4 −10,622.5899 −10,614.5899 −10,592.2164
Model 5 −10,650.0810 −10,642.0810 −10,619.7075
Model 6 −10,649.0980 −10,639.4199 −10,611.4530
KR Model 1 −24,314.2694 −24,310.2694 −24,299.0826
Model 2 −24,333.6934 −24,327.6934 −24,310.9133
Model 3 −24,314.2471 −24,308.2471 −24,291.4669
Model 4 −24,313.9189 −24,305.9189 −24,283.5454
Model 5 −24,333.6632 −24,325.6632 −24,303.2897
Model 6 −24,333.5532 −24,323.8512 −24,295.8843

−2 log L, −2×likelihood ratio test; AIC, Akaike information criterion; BIC, Bayesian information criterion; BW, birth weight; WW, weaning weight; ADG, average daily gain; KR, Kleiber ratio.

Table 5

Likelihood ratio test results of pre-weaning growth traits

Model comparison DF BW WW ADG KR
Model 2/Model 1 1 25.9011*** 29.8749*** 26.6702*** 19.4240***
Model 3/Model 1 1 −0.0002ns 0.0774ns −0.0002ns −0.0223ns
Model 4/Model 1 2 0.8874ns −0.4639ns −0.8214ns −0.3505ns
Model 5/Model 1 2 25.9010*** 29.8751*** 26.6697*** 19.3938***
Model 6/Model 1 3 26.6689*** 28.3047*** 25.6867*** 19.2838***
Model 5/Model 2 1 −0.0001ns 0.0002ns −0.0005ns −0.0302ns
Model 6/Model 2 2 0.7678ns −1.5702ns −0.9835ns −0.1402ns
Model 4/Model 3 1 0.8876ns −0.5413ns −0.8212ns −0.3282ns
Model 5/Model 3 1 25.9012*** 29.7977*** 26.6699*** 19.4161***
Model 6/Model 3 2 26.6691*** 28.2273*** 25.6969*** 19.3061***
Model 6/Model 4 1 25.7815*** 28.7686*** 26.5081*** 19.6343***
Model 6/Model 5 1 0.7679* −1.5704* −0.9830* −0.1100*

ns, non-significant (p>0.05);

*

p<0.05,

***

p<0.001.

DF, degree of freedom; BW, birth weight; WW, weaning weight; ADG, average daily gain; KR, Kleiber ratio.

Table 6

Genetic and phenotypic correlation for pre-weaning early growth traits in Dorper sheep

Trait BW WW ADG KR
BW 0.0215a 0.1631 −0.0073 −0.2987
WW −0.7546 0.0287a 0.9829 0.8819
ADG −0.9728 0.9952 0.0391a 0.9437
KR −0.4991 0.9984 0.9597 0.0504a

The heritability in the table is indicated by the superscript a along the diagonal.

The genetic correlation is below the diagonal, and the phenotypic correlation is above the diagonal.

BW, birth weight; WW, weaning weight; ADG, average daily gain; KR, Kleiber ratio.