Determination of the genetic and non-genetic variations in growth curve of Zandi lambs by random regression models

Document Type : Original Research Article (Regular Paper)

Author

Department of Animal Science, Faculty of Agriculture, Bu-Ali Sina University, Hamedan, Iran.

Abstract

The aim of this study was to model the variances and covariances of body weight in Zandi sheep from 60 to 365 days of age using random regression models (RRM). Legendre polynomials of different orders were used to model the direct and maternal covariances. Mean trends were also modeled through a quadratic regression on orthogonal polynomials of age. Homogeneity and heterogeneity of the residual variance were considered along the growth trajectory. Different models were compared by log-likelihood ratio test (LRT) and Akaike’s information criterion (AIC). Results showed that simple repeatability model in which orders of 1 were used for all random effects could not adequately model variations in growth curve of Zandi lambs. A RRM with Legendre polynomials of orders 3, 3, 3, and 3 for direct additive genetic, individual permanent environment, maternal additive genetic and maternal permanent environmental effects was selected as the most parsimonious model. The power of the parsimonious model decreased when maternal effects were excluded from the analysis, indicating the necessity of including maternal effects in the model for genetic evaluation of Zandi lambs. Considering the heterogeneity of residual variance along with the growth trajectory improved the overall properties of the model. Direct heritability (h2) decreased from 0.3 at 60 days of age to 0.15 at about 120 days and then increased with age gradually and reached 0.39 at 365 days of age. The individual permanent environmental effect (p2) decreased from 0.43 at 60 days of age to 0.23 at 180 days of age and fixed between 0.25 and 0.30 thereafter. Maternal heritability (m2) was 0.03 at 60 days of age, increased to a peak around 240 days of age (0.22) and decreased with age thereafter. The ratio of maternal permanent environmental variance to phenotypic variance (c2) was below 0.03 throughout the trajectory. Estimates of coefficients of variation (CV) revealed the presence of considerable genetic and environmental variability in growth curve of Zandi sheep which can be exploited for breeding purposes. Both direct and maternal correlations were positively high between adjacent weighs but decreased as the distance between ages increased.

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  • Akaike, H., 1973. Information theory and an extension of the maximum likelihood principle. Proceedings of the 2nd International Symposium of Information Theory. Budapest, Hungary.
  • Albuquerque, L.G., Meyer, K., 2001. Estimates of covariance function for growth to 630 days of age in Nelore cattle.  Journal of Animal Science 79, 277-275.
  • Arango, J.R., Cundiff, L.V., Van Vleck, L.D., 2004. Covariance function and random regression models for cow weight in beef cattle. Journal of Animal Science 82, 54-67.
  • Bradford, G.E., 1972. The role of maternal effects in animal breeding: VII. Maternal effects in sheep. Journal of Animal Science 35, 1324-1334
  • Eskandarinasab, M.P., Ghafouri-Kesbi, F., Abbasi, M.A., 2010. Different models for evaluation of growth traits and Kleiber ratio in an experimental flock of Iranian fat-tailed Afshari sheep. Journal of Animal Breeding and Genetics 127, 26-33.
  • Fischer, T.M., van der Werf, J.H.J., Banks, R.G., Ball, A.J., 2004. Description of lamb growth using random regression on field data. Livestock Production Science 89,175-185.
  • Ghafouri-Kesbi, F., Abbasi, M.A., Afraz, F., Babaei, M., Baneh, H., Abdollahi Arpanahi,R., 2011. Genetic analysis of growth rate and Kleiber ratio in Zandi sheep. Tropical Animal Health and Production 43, 1153-1159.
  • Ghafouri-Kesbi, F., Eskandarinasab M.P., Shahir, M.H., 2008 Estimation of direct and maternal effects on body weight in Mehraban sheep using random regression models. Archiv Tierzukht 51, 235-246.
  • Ghafouri-Kesbi, F., Gholizadeh, M. 2017. Genetic and phenotypic aspects of growth rate and efficiency-related traits in sheep. Small Ruminant Research 149, 181-187.
  • Gholizadeh, M., Ghafouri-Kesbi, F., 2015. Quantifying direct and maternal effects for growth-related traits and evaluating the response of Baluchi sheep to a 27-year selection program. Small Ruminant Research 130, 8-14.
  • Henderson, Jr., C.R., 1982. Analysis of covariance in the mixed model: higher level, nonhomogeneous, and random regressions. Biometrics 38, 623-640.
  • Houle, D., 1992. Comparing evolvability and variability of quantitative traits. Genetics 130, 195-204.
  •  Huisman, A.E., Veerkamp, R.F., van Arendonk, J.A.M., 2002. Genetic paerameters for various random regression models to describe the weight data of pig. Journal of Animal Science 80, 575-582.
  • Khodabakhshzadeh, R., Mohammadabadi, M.R., Esmailizadeh, A., Moradi Shahrebabak, H., Bordbar, F., Ansari Namin, S. 2016. Identification of point mutations in exon 2 of GDF9 gene in Kermani sheep. Poland Journal of Veterinary Science 19, 281–289.
  • Kirkpatrick, M., Hill, W.G., Thompson, R., 1994. Estimating the covariance structure of traits during growth and aging, illustrated with lactation in dairy cattle. Genetic Research 64, 57-69.
  • Kruuk, L.E.B., Clutton-Brock, T.H., Slate, J., Pemberton, J.M., Brotherstone, S., Guinness, F.E., 2000. Heritability of fitness in a wild mammal population. Proceedings of the National Academy of Sciences97, 698–703.
  • Lewis, R.M., Brotherston, S., 2002. A genetic evaluation of growth in sheep using random regression techniques. Journal of Animal Science 74, 63-70.
  • Meyer, K. 2007. WOMBAT – a program for mixed model analyses by restricted  maximum likelihood. User’s Guide. Animal Genetics and Breeding Unit, University of New England, Armidale, Australia.
  • Meyer, K., 1992. Variance components due to direct and maternal effects for growth traits of Australian beef cattle. Livestock Production Science 31, 179-204.
  • Meyer, K., 1998. Estimating covariance functions for longitudinal data using a random regression model. Genetic Selection Evolution 30, 221-240.
  • Meyer, K., 1999. Estimates of genetic and phenotypic covariance functions for post-weaning growth and mature weight of beef cows. Journal of Animal Breeding and Genetics 116, 181-205.
  • Meyer, K., 2001. Estimates of direct and maternal covariance function for growth of Australian beef calve from birth to weaning. Genetic Selection Evolution 33, 487-514.
  • Meyer, K., 2004. Scope of random regression model in genetic evaluation of beef cattle for growth. Livestock Production Science 86, 68-83.
  • Meyer, K., 2005. Advance in methodology for random regression analyses. Animal Genetics and Breeding Unit, University of New England, Armidale, Australia, NSW 2351.
  • Meyer, K., Hill, W.G., 1997. Estimation of genetic and phenotypic covariance functions for longitudinal or ‘repeated’ records by restricted maximum likelihood. Livestock Production Science 47, 185-200.
  • Mohammadabadi, M.R., Sattayimokhtari, R., 2013. Estimation of (co) variance components of ewe productivity traits in Kermani sheep. Slovak Journal of Animal Science 46, 45-51.
  • Mohammadi, M., Moradi Shahrebabak, M., Vatankhah, M., Moradi Shahrebabak, H., 2012. Direct and maternal (co)variance components, genetic parameters, and annual trends for growth traits of Makooei sheep in Iran. Tropical Animal Health and Production 7, 233.243.
  • Mokhtari, M.S., Rashidi, A., 2010. Genetic trends estimation for body weights of Kermani sheep at different ages using multivariate animal models. Small Ruminant Research 88, 23-26.
  • Rafat S.A., Namavar, P., Shodja, D.J., Janmohammadi, H., Khosroshahi, H.Z., David, I., 2011. Estimates of the genetic parameters of turkey body weight using random regression analysis. Animal 5, 1699-1704
  • Rashidi, A., 2013. Genetic parameter estimates of body weight traits in Iran-Black sheep. Journal of Livestock Science and Technologies 1, 50-56.
  • Safaei, M., Fallah-Khair, A., Seyed-Sharifi, R., Haghbin Nazarpak, H., Sobhabi, A., Yalchi, T., 2010. Estimation of covariance functions for growth trait from birth to 180 days of age in Iranian Baluchi sheep. Journal of Food, Agriculture and Environment 8, 659-663.
  • SAS., 2004. Users Guide version 9.1: Statistics. SAS Institute, Cary, NC.
  • Sefidbakht, N., 2011. Future aspect of sustainable animal production in Iran, focusing on the sheep and goat. The First Seminar on Animal Production in the Tropical Environment. Shahid Bahonar University of Kerman, Iran, 1-9 (In Farsi).
  • Snyman, M.A., Erusmus, G.J., V,an Wyke, J.B., Olivier, J.J., 1995.  Direct and maternal (co) variance component and heritability estimates for body weight at different ages and fleece traits in Afrino sheep. Livestock Production Science 44, 229-235.
  • Soufy, B., Mohammadabadi, M. R., Shojaeyan, K., Baghizadeh, A., Ferasaty, S., Askari, N., Dayani, O. 2009. Evaluation of myostatin gene polymorphism in Sanjabi sheep by PCR-RFLP method. Animal Science Research 19, 81-89.
  • Wilson A.J., Coltman, D.W., Pemberton, J.M., Overall, A.D.J., Byrne, K.A., Kruuk, L.E.B., 2005. Maternal genetic effects set the potential for evolution in a free-living vertebrate population. Journal of Evolutionary Biology 18, 405-414.
  • Zamani, P., Akhondi, M., Mohammadabadi, M.R. 2015. Associations of Inter-Simple Sequence Repeat loci with predicted breeding values of body weight in sheep. Small Ruminant Research 132, 123–127.