A sinusoidal equation as alternative to conventional growth functions to describe the evolution of growth in quail
Abstract
Aim of study: The aim of the present study was to introduce a sinusoidal equation into poultry science by applying it to temporal growth data from quail.
Material and methods: To examine the performance of the sinusoidal equation in describing the growth patterns of quail, four conventional growth functions (Gompertz, logistic, López and Richards) were used as reference in this study. Comparison of models was carried out by analysing model behaviour when fitting the curves using nonlinear regression and assessing statistical performance. Maximum log-likelihood estimation, mean squared error, Akaike and Bayesian information criteria were used to evaluate the general goodness-of-fit of each model to the different data profiles.
Main results: The selected sinusoidal equation precisely describes the growth dynamics of quail. Comparison of the growth functions in terms of the goodness-of-fit criteria revealed that the sinusoidal equation was one of the most appropriate functions to describe the age-related changes of bodyweight in quail.
Research highlights: To the best of our knowledge there are no studies available on the use of sinusoidal equations to describe the evolution of growth in quail. The sinusoidal equation used in this study represents a suitable alternative to conventional growth functions to describe the growth curves for a range of strains/lines of male and female Japanese quail.
Downloads
References
Aggrey SE, 2004. Modelling the effect of nutritional status on pre-asymptotic and relative growth rates in a random-bred chicken population. J Anim Breed Genet 121: 260-268. https://doi.org/10.1111/j.1439-0388.2004.00462.x
Anthony NB, Emmerson DA, Nestor KE, Bacon WL, 1991. Comparison of growth curves of weight selected populations of turkeys, quail and chickens. Poult Sci 70: 13-19. https://doi.org/10.3382/ps.0700013
Anthony NB, Nesto KE, Marks HL, 1996. Short-term selection for four-week body weight in Japanese quail. Poult Sci 75: 1192-1197. https://doi.org/10.3382/ps.0751192
Balcıoğlu MS, Kızılkaya K, Yolcu Hİ, Karabağ K, 2005. Analysis of growth characteristics in short-term divergently selected Japanese quail. S Afr J Anim Sci 35: 83-89.
Beiki H, Pakdel A, Moradi-Shahrbabak M, Mehrban H, 2013. Evaluation of growth functions on Japanese quail lines. J Poult Sci 50: 20-27. https://doi.org/10.2141/jpsa.0110142
Brody S, 1945. Bioenergetics and Growth. Reinhold Publishing Corp., NY, USA.
Daikwo SI, Dim NI, Momoh MO, 2011. Hatching characteristics of Japanese quail eggs in a tropical environment. Int J Poult Sci 10: 876-878. https://doi.org/10.3923/ijps.2011.876.878
Darmani Kuhi H, Kebreab E, López S, France J, 2003. An evaluation of different growth functions for describing the profile of live weight with time (age) in meat and egg strains of chicken. Poult Sci 82: 1536-1543. https://doi.org/10.1093/ps/82.10.1536
Darmani Kuhi H, Kebreab E, López S, France J, 2009. Application of the law of diminishing returns to estimate maintenance requirement for amino acids and their efficiency of utilization for accretion in young chicks. J Agric Sci 147: 383-390. https://doi.org/10.1017/S0021859609008442
Darmani Kuhi H, Porter T, López S, Kebreab E, Strathe AB., Dumas A, Dijkstra J, France J, 2010. A review of mathematical functions for the analysis of growth in poultry. World Poult Sci J 66: 227-239. https://doi.org/10.1017/S0043933910000280
Darmani Kuhi H, Rezaee F, Faridi A, France J, Mottaghitalab M, Kebreab E, 2011. Application of the law of diminishing returns for partitioning metabolizable energy and crude protein intake between maintenance and growth in growing male and female broiler breeder pullets. J Agric Sci 149: 385-394. https://doi.org/10.1017/S0021859611000062
Darmani Kuhi H, Kebreab E, France J, 2012. Application of the law of diminishing returns to partitioning metabolizable energy and crude protein intake between maintenance and growth in egg-type pullets. J Appl Poult Res 21: 540-547.
Darmani Kuhi H, Shabanpour A, Mohit A, Falahi S, France J, 2018. A sinusoidal function and the Nelder-Mead simplex algorithm applied to growth data from broiler chickens. Poult Sci 97: 227-235.
Dogan N, Emre K, Mehmet ZF, Tulin A, 2010. Comparison of non-linear growth functions to describe the growth in Japanese quail. J Anim Vet Adv 9: 1961-1966. https://doi.org/10.3923/javaa.2010.1961.1966
Du Preez JJ, Sales J, 1997. Growth rate of different sexes of European quail (Coturnix coturnix). Br Poult Sci 38: 314-315. https://doi.org/10.1080/00071669708417994
Ersoy E, Mendeş M, Aktan S, 2006. Growth curve establishment for American Bronze turkeys. Arch Tierzucht 49: 293-299. https://doi.org/10.5194/aab-49-293-2006
Farghly MFA, Mahrose KhMA, Abou-Kassem DE, 2015. Pre and post hatch performance of different Japanese quail egg colors incubated under photostimulation. Asian J Poult Sci 9: 19-30. https://doi.org/10.3923/ajpsaj.2015.19.30
France J, Dijkstra J, Dhanoa MS, 1996. Growth functions and their application in animal science. Ann Zootech 45: 165-174. https://doi.org/10.1051/animres:19960637
Gompertz B, 1825. XXIV. On the nature of the function expressive of the law of human mortality, and on a new method of determining the value of life contingencies. Phil Trans R Soc 115: 513-585. https://doi.org/10.1098/rstl.1825.0026
Knizetova H, Hyanek J, Knize B, Roubicek J, 1991. Analysis of growth curves in fowl. I. Chickens. Br Poult Sci 32: 1027-1038. https://doi.org/10.1080/00071669108417427
Laird AK, 1965. Dynamics of relative growth. Growth 29: 249-263.
López S, France J, Dhanoa M.S, Mould F, Dijkstra J, 2000. A generalized Michaelis-Menten equation for the analysis of growth. J Anim Sci 78: 1816-1828. https://doi.org/10.2527/2000.7871816x
Maruyama K, Potts WJE, Bacon WL, Nestor KE, 1998. Modeling turkey growth with the relative growth rate. Growth Develop Aging 62: 123-139.
Minvielle F, 2004. The future of Japanese quail for research and production. World Poultry Sci J 60: 500-507. https://doi.org/10.1079/WPS200433
Musa U, Haruna ES, Lombin LH, 2008. How to start quail production. In: Quail production in the tropics, 1st ed. Nat Vet Res Inst Press, Vom, Nigeria, 1014 pp.
Nelder JA, 1961. The fitting of a generalization of the Logistic curve. Biometrics 17: 89-110. https://doi.org/10.2307/2527498
Porter T, Kebreab E, Darmani Kuhi H, López S, Strathe AB, France J, 2010. Flexible alternatives to the Gompertz equation for describing growth with age in turkey hens. Poult Sci 89: 371-378. https://doi.org/10.3382/ps.2009-00141
Raji AO, Alade NK, Duwa H, 2014. Estimation of model parameters of the Japanese quail growth curve using Gompertz model. Arch Zootec 63: 429-435. https://doi.org/10.4321/S0004-05922014000300004
Richards FJ, 1959. A flexible growth function for empirical use. J Exp Bot 10: 290-300. https://doi.org/10.1093/jxb/10.2.290
Sezer M, Tarhan S, 2005. Model parameters of growth curves of three meat-type lines of Japanese quail. Czech J Anim Sci 50: 22-30. https://doi.org/10.17221/3991-CJAS
Steigner JW, Nestor KE, Lilburn MS, 1992. Growth and development of lines of Japanese quail (Coturnix coturnix japonica) divergently selected for body weight at 4 weeks of age. Comp Biochem Physiol A: Physiol 102: 389-393. https://doi.org/10.1016/0300-9629(92)90152-G
Tekel N, Sireli HD, Elicin M, Elicin A, 2005. Comparison of growth curve models on Awassi lambs. Ind Vet J 82: 179-182.
Teleken JT, Galvão AC, Robazza WD, 2017. Comparing non-linear mathematical models to describe growth of different animals. Acta Sci, Anim Sci 39: 73-81. https://doi.org/10.4025/actascianimsci.v39i1.31366
Thornley JHM, France J, 2007. Mathematical models in agriculture: Quantitative methods for the plant, animal and ecological sciences, 2nd edn. CAB Intnal, Wallingford, UK. https://doi.org/10.1079/9780851990101.0000
Vali N, 2008. The Japanese quail: a review. Int J Poult Sci 7: 925-931. https://doi.org/10.3923/ijps.2008.925.931
von Bertalanffy L, 1957. Quantitative laws for metabolism and growth. Q Rev Biol 32: 217-231. https://doi.org/10.1086/401873
Zelenka DJ, Cherry JA, Nir I, Siegel PB, 1984. Body weight and composition of Japanese quail (Coturnix coturnix japonica) at sexual maturity. Growth 48: 16-28.
© CSIC. Manuscripts published in both the print and online versions of this journal are the property of the Consejo Superior de Investigaciones Científicas, and quoting this source is a requirement for any partial or full reproduction.
All contents of this electronic edition, except where otherwise noted, are distributed under a Creative Commons Attribution 4.0 International (CC BY 4.0) licence. You may read the basic information and the legal text of the licence. The indication of the CC BY 4.0 licence must be expressly stated in this way when necessary.
Self-archiving in repositories, personal webpages or similar, of any version other than the final version of the work produced by the publisher, is not allowed.
