Accurate mathematical models to describe the lactation curve of Lacaune dairy sheep under intensive management

Animal

Volumn 7, Issue 6, 2013, Pages 1044-1052

  Elvira, L ^a   Hernandez, F ^b   Cuesta, P ^c   Cano, S ^c   Gonzalez Martin, J V ^a,c   Astiz, S ^d  

^a TRIALVET SL   (Spain)

^b Granja Cerromonte SL   (Spain)

^c UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^d INIA   (Spain)

Author keywords

Curve fitting; Dairy sheep; Fractional polynomial; Lacaune; Lactation curve

Indexed keywords

ANALYSIS OF VARIANCE; ANIMAL; ANIMAL HUSBANDRY; ARTICLE; COMPARATIVE STUDY; DAIRYING; ECONOMICS; FEMALE; LACTATION; METABOLISM; METHODOLOGY; MILK; PHYSIOLOGY; SHEEP; SPAIN; THEORETICAL MODEL;

ANALYSIS OF VARIANCE; ANIMAL HUSBANDRY; ANIMALS; DAIRYING; FEMALE; LACTATION; MILK; MODELS, THEORETICAL; SHEEP; SPAIN;

OVIS ARIES;

EID: 84877122724     PISSN: 17517311     EISSN: 1751732X     Source Type: Journal    
DOI: 10.1017/S175173111200239X     Document Type: Article

References (38)

1. Ali TE and Schaeffer LR 1987. Accounting for covariance among test day yields in dairy cows. Canadian Journal of Animal Science 67, 637-644.
2. Albarrán-Portillo B and Pollott GE 2008. Genetic parameters derived from using a biological model of lactation on records of commercial dairy cows. Journal of Dairy Science 91, 3639-3648.
3. Barillet F, Marie C, Jacquin M, Lagriffoul G and Astruc JM 2001. The French Lacaune dairy sheep breed: use in France and abroad in the last 40 years. Livestock Production Science 71, 17-29.
4. Bebbington M, Lai CD and Zitikis R 2009. Modeling lactation curves: classical parametric models re-examined and modified. Journal of Applied Statistics 36, 121-133.
5. Bradley JV 1968. Distribution-free statistical tests. Prentice Hall, Englewood Cliffs, NJ, USA.
6. Cobby JM and Le Du YLP 1978. On fitting curves to lactation data. Animal Production 26, 127-133.
7. Cui J, de Klerk N, Abramson M, Del Monaco A, Benke G, Dennekamp MAWM and Sim M 2009. Fractional polynomials and model selection in generalized estimating equations analysis, with an application to a Longitudinal Epidemiologic Study in Australia. American Journal of Epidemiology 169, 113-121.
8. Dijkstra J, France J, Dhanoa MS, Maas JA, Hanigan MD, Rook AJ and Beever DE 1997. A model to describe growth patterns of the mammary gland during pregnancy and lactation. Journal of Dairy Science 80, 2340-2354.
9. Durbin J and Watson GS 1951. Testing for serial correlation in least squares regression. Biometrika 38, 159-178.
10. Elston DA, Glaseby CA and Nelson DR 1989. Non-parametric lactation curves. Animal Production 48, 331-339.
11. Groenewald PCN, Ferreira HJ, van der Merwe HJ and Slippers SC 1995. A mathematical model for describing and predicting the lactation curve of Merino ewes. Animal Science 61, 95-101.
12. Grossman M and Koops WJ 1988. Multiphasic analysis of lactation curves in dairy cattle. Journal of Dairy Science 71, 1598-1608.
13. Hernandez F, Elvira L, Gonzalez-Martin JV, Gonzalez-Bulnes A and Astiz S 2011. Influence of age at first lambing on reproductive and productive performance of Lacaune dairy sheep under an intensive management system. Journal of Dairy Research 78, 160-167.
14. Lambert PC, Smith LK, Jones DR and Botha JL 2005. Additive and multiplicative covariate regression models for relative survival incorporating fractional polynomials for time-dependent effects. Statistics in Medicine 24, 3871-3885.
15. Masselin S, Sauvant D, Chapoutot P and Milan D 1987. Adjustment models for lactation curves. Annales de Zootechnie 36, 171-206.
16. Morant SV and Gnanasakthy A 1989. A new approach to the mathematical formulation of lactation curves. Animal Production 49, 151-162.
17. Neal HDStC and Thornley JHM 1983. The lactation curve in cattle: a mathematical model of the mammary gland. Journal of Agricultural Science 101, 389-400.
18. Olori VE, Brotherstone S, Hill WG and McGuirk BJ 1999. Fit of standard models of the lactation curve to weekly records of milk production of cows in a single herd. Livestock Production Science 58, 55-63.
19. Oravcová M 2007. Genetic evaluation for milk production traits in Slovakian Lacaune sheep. Slovak Journal of Animal Science 40, 172-179.
20. Oravcová M, Margetín M, Peškovičová D, Daňo J, Milerski M, Hetényi L and Polák P 2006. Factors affecting milk yield and ewe's lactation curves estimated with test-day models. Czech Journal of Animal Science 51, 483-490.
21. Oravcová M, Margetín M, Peškovičová D, Daňo J, Milerski M, Hetényi L and Polák P 2008. Factors affecting ewe's milk fat and protein content and relationships between milk yield and milk components. Czech Journal of Animal Science 52, 189-198.
22. Paladini D, Rustico M, Viora E, Giani U, Bruzzese D, Campogrande M and Martinelli P 2005. Fetal size charts for the Italian population. Normative curves of head, abdomen and long bones. Prenatal Diagnosis 25, 456-464.
23. Peralta-Lailson M, Trejo-González AÁ, Pedraza- Villagómez P, Berruecos-Villalobos JM and Vasquez CG 2005. Factors affecting milk yield and lactation curve fitting in the Creole sheep of Chiapas-Mexico. Small Ruminant Research 58, 265-273.
24. Pérochon L, Coulon JB and Lescourret F 1996. Modelling lactation curves of dairy cows with emphasis on individual variability. Animal Science 63, 189-200.
25. Pollott GE 2000. A biological approach to lactation curve analysis for milk yield. Journal of Dairy Science 83, 2448-2458.
26. Pollott GE and Gootwine E 2000. Appropriate mathematical models for describing the complete lactation of dairy sheep. Journal of Animal Science 71, 197-207.
27. Pollott GE and Gootwine E 2004. Reproductive performance and milk production of Assaf sheep in an intensive management system. Journal of Dairy Science 87, 3690-3703.
28. Pool MH and Meuwissen THE 2000. Reduction of the number of parameters needed for a polynomial random regression test day model. Livestock Production Science 64, 133-145.
29. Portolano B, Spatafora F, Bono G, Margiotta S, Todaro M, Ortoleva V and Leto G 1996. Application of the Wood model to lactation curves of Comisana sheep. Small Ruminant Research 24, 7-13.
30. Rook AJ, France J and Dhanoa MS 1993. On the mathematical description of lactation curves. Journal of Agricultural Science 121, 97-102.
31. Royston P and Altman DG 1994. Regression using fractional polynomials of continuous covariates. Applied Statistics 43, 429-467.
32. Royston P and Sauerbrei W 2008. Multivariable model-building. Wiley, New York, NY, USA.
33. Ruiz R, Oregui LM and Herrero M 2000. Comparison of models for describing the lactation curve of Latxa sheep and an analysis of factors affecting milk yield. Journal of Dairy Science 83, 2709-2719.
34. Sakul H and Boylan WJ 1992. Lactation curves for several US sheep breeds. Animal Production 54, 229-233.
35. Schaeffer LR, Jamrozik J, Kistemaker GJ and Van Doormaal BJ 2000. Experience with a test-day model. Journal of Dairy Science 83, 1135-1144.
36. Silvestre AM, Petim-Batista F and Colaco J 2006. The accuracy of seven mathematical functions in modeling dairy cattle lactation curves based on testday records from varying sample schemes. Journal of Dairy Science 89, 1813-1821.
37. Wilmink JBM 1987. Adjustment of test day milk, fat and protein yield for age, season and stage of lactation. Livestock Production Science 16, 335-348.
38. Wood PDP 1967. Algebraic model of the lactation curve in cattle. Nature 216, 164-165.