• Journal of Animal Science and Technology
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• 제52권3호
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• pp.167-174
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• 2010

The objectives of this study were to quantify the combination values of the principal components and factors calculated using body measurements of Hanwoo (Korean Cattle) and estimate their heritabilities. The technique of multivariate analysis was used to reduce a large number of variables to a smaller number of new variables and characterize cattle according to body shape. The analyses were performed using 1,979 cattle at 12 months of age and 936 cattle at 24 months of age. The data for the analyses was obtained from progeny tests performed on Korean Cattle for 6 years from 2003 to 2008. The phenotypic correlations among these traits were estimated to range from 0.32 to 0.90 at 12 months of age and from 0.21 to 0.82 at 24 months of age. The first principal components (PC1s) indicated a weighed average of overall body measurements, accounting for 99.91% of the total variation for both periods of test. The two first PCs had positive coefficients for all body measurements. The major sources of PC, such as chest girth (CG), body length (BL), rump height (RH), and wither height (WH) were similar for both test periods. The heritabilities for PC1, the first factor score (FS1), and the second factor score (FS2) were estimated by multivariate REML method. The estimated heritabilities for PC1, FS1, and FS2 were 0.33, 0.38, and 0.40, respectively, at 12 months of age and 0.26, 0.76, and 0.58 at 24 months of age. Further studies are needed to determine whether the heritabilities of FS1 and FS2 at 24 months of age were overestimated.

• Communications for Statistical Applications and Methods
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• 제26권4호
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• pp.371-383
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• 2019

Panel data sets have been developed in various areas, and many recent studies have analyzed panel, or longitudinal data sets. Maximum likelihood (ML) may be the most common statistical method for analyzing panel data models; however, the inference based on the ML estimate will have an inflated Type I error because the ML method tends to give a downwardly biased estimate of variance components when the sample size is small. The under estimation could be severe when data is incomplete. This paper proposes the restricted maximum likelihood (REML) method for a random effects panel data model with a censored dependent variable. Note that the likelihood function of the model is complex in that it includes a multidimensional integral. Many authors proposed to use integral approximation methods for the computation of likelihood function; however, it is well known that integral approximation methods are inadequate for high dimensional integrals in practice. This paper introduces to use the moments of truncated multivariate normal random vector for the calculation of multidimensional integral. In addition, a proper asymptotic standard error of REML estimate is given.

• Journal of Animal Science and Technology
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• 제46권4호
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• pp.509-516
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• 2004

한우 종모우 선발을 위한 유전능력 평가에서 고려되는 형질들 중 이산형 형태로 조사되는 근내지방도의 유전변이가 추정방법에 따라 어느 정도 차이가 있는지 알아보기 위한 모의실험을 실시하였다. 모의실험 자료는 연속변량으로 간주되는 도체중 및 배장근단면적과 근내지방도의 잠재변수를 다변량 정규분포함수에서 생성하였고 근내지방도의 잠재변수를 이용하여 특정 임계값을 중심으로 순서화된 근내지방도 점수로 변화 하였따. 근내지방도의 점수 부여방법으로써 비거세우에서 조사된 근내지방도의 점수 1${\sim}$5점 사이에 정규분포에서 크게 어긋나는 분포특성을 갖도록 자료(DSI)를 생성하였고 또한 한우 거세우에서 현재 조사되고 있는 점수 1${\sim}$7점 사이에 정규 분포에 좀더 접근한 분포특성을 갖는 모의 자료(DS2)를 생성하였다. 분석방법간에 유전변이 추정의 정확도를 알아보기 위하여 1) 생성된 이들 자료를 선형으로 간주하고 다형질 혼합 선형 개체모형에서 REML 분석방법으로 유전변이를 추정하였고 2) 특정 임계치를 중심으로 잠재변수가 존재한다는 가정하에 다형질 임계 개체 혼합모형을 설정하여 Gibbs sampling 방법으로 유전변이를 추정하였다. 여기서 추정된 유전변이(유전력, 유전상관 및 잔차상관)에 대하여 모수와의 차이를 검정함으로써 편의되는 정도를 알아보았다. 모의실험은 각 자료에 대하여 10회 실시하였다. 분석결과, 근내지방도의 유전력 추정치는 DS1에서는 다형질 임계개체혼합모형을 설정하여 Gibbs sampling 방법으로 모수에 대한 사후분포의 평균으로 계산한 결과 참값과 유의적인 차이가 없는 것으로 분석되었다. 반면에 근내지방도를 선형으로 간주하고 다형질 선형 개체혼합모형에 의한 유전력 추정치는 모수보다 매우 낮은 유전력을 보였다(0.500 vs 0.315). 유전상관 추정치는 선형모형에서의 REML 방법 또는 임계모형에서의Gibbs sampling 방법에서 모두 모수와 유의적인 차이가 없는 것으로 분석되었으나 근내지방도의 잔차상관에 있어서 REML 방법으로 분석하였을 경우에 모수보다 낮게 추정되었다. 반면에 범주형 모형에서는 모수와 추정치 간에 유의적인 차이가 없는 것으로 분석되었다. 또한 7개의 범주형으로 조사된 자료(DS2)에서 이들 추정치는 DS1에서와 동일한 경향을 보였는데 그 편의 정도는 다소 적어지는 경향을 보였다. 따라서 이산형으로 조사되는 근내지방도에 대한 유전변이를 추정하기 위해서는 범주형 임계모형이 선형모형 보다 사소 정확한 추정을 할 수 있을 것으로 판단 되었다.

• Asian-Australasian Journal of Animal Sciences
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• 제25권6호
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• pp.764-771
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• 2012

Direct and maternal genetic heritabilities and their correlations with body weight at 5 stages in the life span of purebred Berkshire pigs, from birth to harvest, were estimated to scrutinize body weight development with the records for 5,088 purebred Berkshire pigs in a Korean farm, using the REML based on an animal model. Body weights were measured at birth (Birth), at weaning (Weaning: mean 22.9 d), at the beginning of a performance test (On: mean 72.7 d), at the end of a performance test (Off: mean 152.4 d), and at harvest (Finish: mean 174.3 d). Ordinary polynomials and Legendre with order 1, 2, and 3 were adopted to adjust body weight with age in the multivariate animal models. Legendre with order 3 fitted best concerning prediction error deviation (PED) and yielded the lowest AIC for multivariate analysis of longitudinal body weights. Direct genetic correlations between body weight at Birth and body weight at Weaning, On, Off, and Finish were 0.48, 0.36, 0.10, and 0.10, respectively. The estimated maternal genetic correlations of body weight at Finish with body weight at Birth, Weaning, On, and Off were 0.39, 0.49, 0.65, and 0.90, respectively. Direct genetic heritabilities progressively increased from birth to harvest and were 0.09, 0.11, 0.20, 0.31, and 0.43 for body weight at Birth, Weaning, On, Off, and Finish, respectively. Maternal genetic heritabilities generally decreased and were 0.26, 0.34, 0.15, 0.10, and 0.10 for body weight at Birth, Weaning, On, Off, and Finish, respectively. As pigs age, maternal genetic effects on growth are reduced and pigs begin to rely more on the expression of their own genes. Although maternal genetic effects on body weight may not be large, they are sustained through life.

• Asian-Australasian Journal of Animal Sciences
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• 제17권1호
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• pp.7-12
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• 2004

Real time ultrasonic measurements for 13th rib fat thickness (LBF), longissimus muscle area (LEMA) and marbling score (LMS) of live animal at pre-harvest and subsequent carcass measurements for fat thickness (BF), longissimus muscle area (EMA), marbling score (MS) as well as body weight of live animal, carcass weight (CW), dressing percentage (DP), and total merit index (TMI) on 755 Korean beef steers were analyzed to estimate genetic parameters. Data were analyzed using multivariate animal models with an EM-REML algorithm. Models included fixed effects for year-season of birth, location of birth, test station, age of dam, linear and quadratic covariates for age or body weight at slaughter and random animal and residual effects. The heritability estimates for LEMA, LBF and LMS on RTU scans were 0.17, 0.41 and 0.55 in the age-adjusted model (Model 1) and 0.20, 0.52 and 0.55 in the weight-adjusted model (Model 2), respectively. The Heritability estimates for subsequent traits on carcass measures were 0.20, 0.38 and 0.54 in Model 1 and 0.23, 0.46 and 0.55 in Model 2, respectively. Genetic correlation estimate between LEMA and EMA was 0.81 and 0.79 in Model 1 and Model 2, respectively. Genetic correlation estimate between LBF and BF were high as 0.97 in Model 1 and 0.98 in Model 2. Real time ultrasonic marbling score were highly genetically correlated to carcass MS of 0.89 in Model 1 and 0.92 in Model 2. These results indicate that RTU scans would be alterative to carcass measurement for genetic evaluation of meat quality in a designed progeny-testing program in Korean beef cattle.