Y = aexp(-ct) + ε |
Brody, Ragsdale & Turner |
Brody et al. (1923)BRODY, S.; RAGSDALE, A.C.; TURNER, C.W. The rate of decline of milk secretion with the advance of the period of lactation. Journal of General Physiology, v.5, p.441-444, 1923. DOI: https://doi.org/10.1085/jgp.5.4.441. https://doi.org/10.1085/jgp.5.4.441...
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Y = aexp(-bt) - aexp(-ct) + ε |
Brody, Turner & Ragsdale |
Brody et al. (1924)BRODY, S.; TURNER, C.W.; RAGSDALE, A.C. The relation between the initial rise and the subsequent decline of milk secretion following parturition. Journal of General Physiology, v.6, p.541-545, 1924. DOI: https://doi.org/10.1085/jgp.6.5.541. https://doi.org/10.1085/jgp.6.5.541...
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Y = aexp(bt - ct2) + ε |
Sikka |
Sikka (1950)SIKKA, L.C. A study of lactation as affected by heredity and environment. Journal of Dairy Research, v. 17, p.231-252, 1950. DOI: https://doi.org/10.1017/S0022029900005811. https://doi.org/10.1017/S002202990000581...
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Y = t/(a + bt + ct2) + ε |
Nelder |
Nelder (1966)NELDER, J.A. Inverse polynomials, a useful group of multi-factor response functions. Biometrics, v.22, p.128-141, 1966. DOI: https://doi.org/10.2307/2528220. https://doi.org/10.2307/2528220...
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Y = atbexp(-ct) + ε
|
Wood |
Wood (1967)WOOD, P.D.P Algebraic model of the lactation curve in cattle. Nature, v.216, p.164-165, 1967 DOI: https://doi.org/10.1038/216164a0. https://doi.org/10.1038/216164a0...
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Y = a + bt - ct2 + ε |
Dave |
Dave (1971)DAVE, D.B.K. First lactation curve of Indian water buffalo. Jawaharlal Nehru Krishi Vishwa Vidyalaya Research Journal, v.5, p.93-98, 1971.
|
Y = a - ct + ε |
Madalena, Martinez & Freitas |
Madalena et al. (1979)MADALENA, F.E.; MARTINEZ, M.L.; FREITAS, A.F. Lactation curves of Holstein-Friesian and Holstein-Friesian x Gir cows. Animal Science, v.29, p.101-107, 1979. DOI: https://doi.org/10.1017/S0003356100012198. https://doi.org/10.1017/S000335610001219...
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Y = a - bt + c ln(t) + ε |
Singh & Gopal |
Singh & Gopal (1982)SINGH, R.; GOPAL, R. Lactation curves analysis of buffaloes maintained under village conditions. Indian Journal of Animal Science, v.52, p.1157-1160, 1982.
|
Y = a + bt + ct2 + d ln(t) + ε |
Singh & Gopal |
Singh & Gopal (1982)SINGH, R.; GOPAL, R. Lactation curves analysis of buffaloes maintained under village conditions. Indian Journal of Animal Science, v.52, p.1157-1160, 1982.
|
Y = a + bt + ct-1 + ε |
Bianchini Sobrinho |
Bianchini Sobrinho (1984)BIANCHINI SOBRINHO, E. Estudo da curva de lactação de vacas da raça Gir. 1984. 88p. Tese (Doutorado) – Universidade de São Paulo, Ribeirão Preto.
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Y = at exp(-ct) + ε |
Papajcsik & Bodero |
Papajcsik & Bodero (1988)PAPAJCSIK, I.A.; BODERO, J. Modelling lactation curves of Friesian cows in a subtropical climate. Animal Science, v.47, p.201-207, 1988. DOI: https://doi.org/10.1017/S0003356100003275. https://doi.org/10.1017/S000335610000327...
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Y = a - ct + ln(t) + ε |
Cobuci |
Cobuci et al. (2000)COBUCI, J.A.; EUCLYDES, R.F.; VERNEQUE, R. da S.; TEODORO, R.L.; LOPES, P. de S.; SILVA, M. de A. e. Curva de lactação na raça Guzerá. Revista Brasileira de Zootecnia, v.29, p.1332-1339, 2000. DOI: https://doi.org/10.1590/S1516-35982000000500011. https://doi.org/10.1590/S1516-3598200000...
|
Y = a + bt + c exp(-dt) + ε |
Wilmink |
Wilmink (1987)WILMINK, J.B.M. Comparison of different methods of predicting 305-day milk yield using means calculated from within-herd lactation curves. Livestock Production Science, v.17, p.1-17, 1987 DOI: https://doi.org/10.1016/0301-6226(87)90049-2. https://doi.org/10.1016/0301-6226(87)900...
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Y=a(1/1+(b/c+t)) exp(-dt) + ε |
Rook, France & Dhanoa |
Rook et al. (1993)ROOK, A. J.; FRANCE, J.; DHANOA, M.S. On the mathematical description of lactation curves. The Journal of Agricultural Science, v.121, p.97-102, 1993. DOI: https://doi.org/10.1017/S002185960007684X. https://doi.org/10.1017/S002185960007684...
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Y = aexp([b(1-exp(-ct))/c - dt]) + ε |
Dijkstra |
Dijkstra et al. (1997)DIJKSTRA, J.; FRANCE, J.; DHANOA, M.S.; MAAS, J.A.; HANIGAN, M.D.; ROOK, A.J.; BEEVER, D.E. A model to describe growth patterns of the mammary gland during pregnancy and lactation. Journal of Dairy Science, v.80, p.2340-2354, 1997. DOI: https://doi.org/10.3168/jds.S0022-0302(97)76185-X. https://doi.org/10.3168/jds.S0022-0302(9...
|
Y = atbc exp(-ct) + ε |
Dhanoa |
Dhanoa (1981)DHANOA, M.S. A note on an alternative form of the lactation model of Wood. Animal Science, v.32, p.349-351, 1981. DOI: https://doi.org/10.1017/S0003356100027276. https://doi.org/10.1017/S000335610002727...
|
Y = atb exp(-ct) + ε |
Cappio-Borlino, Pulina & Rossi |
Cappio-Borlino et al. (1995)CAPPIO-BORLINO, A.; PULINA, G.; ROSSI, G. A non-linear modification of Wood’s equation fitted to lactation curves of Sardinian dairy ewes. Small Ruminant Research, v.18, p.75-79, 1995. DOI: https://doi.org/10.1016/0921-4488(95)00713-U. https://doi.org/10.1016/0921-4488(95)007...
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