Mammalian Biology

, Volume 93, Issue 1, pp 5–12 | Cite as

Modeling the growth curves for body weight and some biometrie traits in Caspian horses (Equusferus caballus) using non-linear mixed models

  • Navid Ghavi Hossein-ZadehEmail author
  • Ahmad Ghorbani
Original investigation


In order to describe the growth curves of live body weight (BW), body length (BL), height at withers (HW) and hearth girth (HG) in Caspian horses, six non-linear mixed growth models (Brody, LogistiC., Gompertz, Schumacher, Von Bertalanffy and Negative exponential) were used. The data set comprised 129 records of BW and biométrie traits (made up of 54 for males and 75 for female horses) which were measured weekly from birth to 32 weeks of age in the premises of the Animal Science Department, Agricultural and Natural Resources Research Center of Guilan, Rasht, Iran. Each model was fitted to weekly records of horses using the non-linear mixed model procedure (PROC NLMIXED) in SAS and the parameters were estimated. The mixed models were tested for goodness of fit using Akaike’s information criterion (AIC), Bayesian information criterion (BIC), log maximum likelihood (-2 Log L) and residual variance (of). The Brody function was selected as the best model for fitting the growth curve of BW, BL and WL in females and all horses. Although, the Brody model was the best model for fitting the growth curve of HG in females and all horses, but Logistic function was the best function for fitting the growth curve for this trait in male horses. The results of this study can aim planning farm management strategies and decision making just by viewing the growth curve of horses. The non-linear mixed models were adequate for fitting growth curves of body weight and biométrie characters in Caspian horses.


Body measures Caspian horse Foal Growth model Mixed model 


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  1. Afshar, A., Huck, R.A., 1978. The Caspian miniature horse and its relationship to the ancient Lydian horse, Ark. J. Rare Breeds Survival Trust 5, 152.Google Scholar
  2. Afshar, A., Lerner, J., 1979. The horses of the ancient Persian Empire at Persepolis. Antiquity 53 (207), 44–47.CrossRefGoogle Scholar
  3. árnason, T., Bjarnason, T., 1994. Growth, development and size of Icelandic toelter horses. Icel. Agric. Sci. 8, 73–83.Google Scholar
  4. Brown-Douglas, C.G., Pagan, J.D., 2006. Body weight, wither height and growth rates in Thoroughbreds raised in America, England, Australia, New Zealand and India. Advances in Equine Nutrition, Vol. IV. Kentucky Equine Research, Versailles, pp. 213–220, 2004–2008.Google Scholar
  5. čoudková, V., Sachello, V., Stërbová, H., Kleinová, A., Papousková, Z., Marsálek, M., Kovanda, J., 2016. Bodyweight estimation from linear measures of growing warmblood horses by a formula. J. Equine Vet. Sci. 36, 63–68.CrossRefGoogle Scholar
  6. Craig, B.A., Schinckel, A.P., 2001. Nonlinear mixed effects model for swine growth. Prof. Anim. Sci. 17, 256–260.CrossRefGoogle Scholar
  7. da Silva, L.S.A., Fraga, A.B., da Silva, F.D.L., Beelen, P.M.G., Silva, R.M.D.O., Tonhati, H., Barros, C.D.C., 2012. Growth curve in Santa Inès sheep. Small Rumin. Res. 105, 182–185.CrossRefGoogle Scholar
  8. Dusek, J., VondaCek, J., Hojek, S., 1981. Growth rates of Arab, Lipitsaand Kladrub horses. Sci. Agric. Bohemoslov 13, 153–167.Google Scholar
  9. Dušek, J., Misař, D., Müller, Z., Navrátil, J., Rajman, J., Tlučhoř, V., Žlumov, P., 2007. Chovkoní, 2nd éd. Brázda, Praha.Google Scholar
  10. Firouz, L., 1978. The Caspian miniature horse of Iran. From the International Caspian Stud Book, Vol. II., pp. 11–16.Google Scholar
  11. Fitzhugh, H.A., 1976. Analysis of growth curves and strategies for altering their shape. J. Anim. Sci. 42, 1036–1051.CrossRefGoogle Scholar
  12. Fradinho, M.J., Bessa, R.J.B., Ferreira-Dias, G., Caldeira, R.M., 2016. Growth and development of the Lusitano horse managed on grazing systems. Livest. Sci. 186, 22–28.CrossRefGoogle Scholar
  13. Ghavi Hossein-Zadeh, N., 2014. Comparison of non-linear models to describe the lactation curves of milk yield and composition in Iranian Holsteins. J. Agric. Sci. 152, 309–324.CrossRefGoogle Scholar
  14. Ghavi Hossein-Zadeh, N., 2015. Modeling the growth curve of Iranian Shall sheep using non-linear growth models. Small Rumin. Res. 130, 60–66.CrossRefGoogle Scholar
  15. Green, D.A, 1961. A review of studies on the growth rate of the horse. Br. Vet. J. 117, 181–191.CrossRefGoogle Scholar
  16. Green, D.A., 1969. A study of growth rate in thoroughbred foals. Br. Vet. J. 125, 539–545.CrossRefGoogle Scholar
  17. Green, D.A., 1976. Growth rate in thoroughbred yearlings and two years olds. Equine Vet. J. 8 (3), 133–134.CrossRefGoogle Scholar
  18. Heugebaert, S., Garcia-Launay, F., Trillaud-Geyl, C., Dubroeucq, H., Arnaud, D., Bigot, G., Valette, J.P., Fleurance, G., Hoch, T., Agabriel, J., Martin-Rosset, W., 2010. Modélisation de la croissance des poulains: première étape vers de nouvelles recommandations alimentaires. In: Proceedings of the 36ème Journée de la Recherche Equine, Paris, France, pp. 61–70.Google Scholar
  19. Hintz, H.F., Hintz, R.L., VanVieck, L.D., 1979. Growth rate of thoroughbred. Effects of age of dam, year and month of birth, and sex of foal. J. Anim. Sci. 48 (3), 480–487.CrossRefGoogle Scholar
  20. Holmström, M., Magnusson, L.E., Philipsson, J., 1990. Variation in conformation of Swedish warmblood horses and conformational characteristics of elite sport horses. Equine vet. J. 22, 186–193.CrossRefGoogle Scholar
  21. Jelan, Z.A., Jeffcott, L.B., Lundenheim, N., Osborne, M., 1996. Growth rates in thoroughbred foals. Pferdeheilkunde 12, 291–295.CrossRefGoogle Scholar
  22. Khalili, M., 2009. Horses and My Experiences. Zare press, Tehran, Iran.Google Scholar
  23. Komosa, M., Purzy C., H., 2009. Konik and Hucul horses: a comparative study of exterior measurements. J. Anim. Sci. 87, 2245–2254.CrossRefGoogle Scholar
  24. Lovsin, E., Fazarin, C., G., Pogacenik, A., Bavdek, S.V., 2001. Growth dynamics of Lipizzan horses and their comparison to other horse breeds. Pflugers Arch. - Eur. J. Physiol. 442 (Suppl 1), R211–R212.CrossRefGoogle Scholar
  25. Malhadoa, C.H.M., Carneiroa, P.L.S., Affonso, P.R.A.M., Souza Jr., A.A.O., Sarmento, J.L.R., 2009. Growth curves in Dorper sheep crossed with the local Brazilian breeds, Morada Nova, Rabo Largo, and Santa Inès. Small Rumin. Res. 84, 16–21.CrossRefGoogle Scholar
  26. Martin-Rosset, W., 1983. Particularités de la croissance et du développement du cheval. Ann. Zootechnol. 32(1), 109–130.CrossRefGoogle Scholar
  27. Martin-Rosset, W., 2004. Growth and development in the equine Dijon. In: Proceedings of the 2nd European Workshop on Equine Nutrition., 15–17 January, pp. 3–48.Google Scholar
  28. McManus, C.M., Louvandini, H., Lagoas Campos, V.A., 2010. Non linear growth curves for weight and height in four genetic groups of horses. Cienc. Anim. Bras. Goiánia 11 (1), 80–89.Google Scholar
  29. Morel, P.C.H., Bokor, Á., Rogers, C.W., Firth, E.C., 2007. Growth curves from birth to weaning for Thoroughbred foals raised on pasture. N. Z. Vet. J. 55 (6), 319–325.CrossRefGoogle Scholar
  30. National Research Council, 2007. Nutrient Requirements of Horses, 6th ed. National Academy Press, Washington.Google Scholar
  31. Onoda, T., Yamamoto, R., Sawamura, K., Inoue, Y., Matsui, A., Miyaké, T., Hirai, N., 2011. Empirical growth curve estimation using sigmoid sub-functions that adjust seasonal compensatory growth for male body weight of Thoroughbred horses. J. Equine Sci. 22, 37–42.CrossRefPubMedPubMedCentralGoogle Scholar
  32. Onoda, T., Yamamoto, R., Sawamura, K., Inoue, Y., Murase, H., Nambo, Y., Tozaki, T. Matsui, A., Miyake, T., Hirai, N., 2013. Empirical growth curve estimation considering multiple seasonal compensatory growths of body weights in Japanese Thoroughbred colts and Allies. J. Anim. Sci. 91, 5599–5604.CrossRefGoogle Scholar
  33. Onoda, T., Yamamoto, R., Sawamura, K., Murase, H., Nambo, Y., Inoue, Y., Matsui, Tozaki, T.A., Miyake, T., Hirai, N., 2014. An approach of estimating individual growth curves for young Thoroughbred horses based on their birthdays. J. Equine Sci. 25 (2), 29–35.CrossRefPubMedPubMedCentralGoogle Scholar
  34. Pagan, J.D., Jackson, S.G., Caddel, S., 1996. A summary of growth rates of Thoroughbreds in Kentucky. Pferdeheilkunde 12, 285–289.CrossRefGoogle Scholar
  35. Pérochon, L., Coulon, J.B., Lescourret, F., 1996. Modelling lactation curves of dairy cows with emphasis on individual variability. Anim. Sci. 63, 189–200.CrossRefGoogle Scholar
  36. Ringler, J.E., Lawrence, L.M., 2008. Comparison of Thoroughbred growth data to body weights predicted by the NRC. J. Equine Vet. Sci. 28 (2), 97–101.CrossRefGoogle Scholar
  37. Saastamoinen, M., 1990. Heritabilities for body size and growth rate and phenotypic correlations among measurements in young horses. Acta Agric. Scand. 40, 377–386.CrossRefGoogle Scholar
  38. Sadek, M.H., Al-Aboud, A.Z., Ashmawy, A.A., 2006. Factor analysis of body measurements in Arabian horses. J. Anim. Breed. Genet. 123, 369–377.CrossRefGoogle Scholar
  39. Santos, S.A., Da Silva, E., Souza, G., De Oliveira, M.R., Sereno, J.R., 1999. Using nonlinear models to describe height growth curves in Pantaneiro horses. Pesq. Agropec. Bras. 34 (7), 1133–1138.CrossRefGoogle Scholar
  40. Sarmento, J.L.R., Regazzi, A.J., Souza, W.H., Torres, R.A., Breda, F.C., Menezes, G.R.O., 2006. Study of growth curve of Santa Inês sheep. Rev. Bras. Zootechnol. 35 (2), 435–442.CrossRefGoogle Scholar
  41. SAS, 2002. SAS User’s guide v. 9.1: Statistics. SAS Institute, Inc., Cary, NC.Google Scholar
  42. Sendel, T., 2010. Estimating body weight for horses. Factsheet 10, 1–4.Google Scholar
  43. Souza, F.A.C., Fernandes, T.J., de Moura, R.S., Meirelles, S.L.C., Ribeiro, R.A., Cunha, F.O., Muniz, J.A., 2017. Nonlinear modeling growth body weight of Mangalarga Marchador horses. Ciênc. Rural Santa Maria 47 (04), e20160636.Google Scholar
  44. Thompson, K.N., 1995. Skeletal growth rates of weanling and yearling thoroughbred horses. J. Anim. Sci. 73, 2513–2517.CrossRefGoogle Scholar
  45. Trillaud-Geyl, C., Fleurance, G., Donabedian, M., Perona, G., Bigot, G., Arnaud, G., Dubroeucq, H., Martin-Rosset, W., 2004. Effect of body weight gain on the skeleton growth in the sport horses. In: 55th Annual Meeting of the European Association for Animal Production Bled, Slovenia.Google Scholar
  46. Wagner, E.X., Tyler, P.J., 2011. A comparison of weight estimation methods in adult horses. J. Equine Vet. Sci. 31, 706–710.CrossRefGoogle Scholar
  47. Weller, R., Pfau, T., May, S.A., Wilson, A.M., 2006. Variation in conformation in a cohort of National Hunt racehorses. Equine Vet. J. 38, 616–621.CrossRefGoogle Scholar

Copyright information

© Deutsche Gesellschaft für Säugetierkunde 2018

Authors and Affiliations

  1. 1.Department of Animal Science, Faculty of Agricultural SciencesUniversity ofCuiianRashtIran
  2. 2.Guilan Agricultural and Natural Resources Education and Research CenterRashtIran

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