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Coupling a reproductive function model to a productive function model to simulate lifetime performance in dairy cows

  • O. Martin (a1), P. Blavy (a1), M. Derks (a1) (a2) (a3), N.C. Friggens (a1) and F. Blanc (a2)...


Reproductive success is a key component of lifetime performance in dairy cows but is difficult to predict due to interactions with productive function. Accordingly, this study introduces a dynamic model to simulate the productive and reproductive performance of a cow during her lifetime. The cow model consists of an existing productive function model (GARUNS) which is coupled to a new reproductive function model (RFM). The GARUNS model simulates the individual productive performance of a dairy cow throughout her lifespan. It provides, with a daily time step, changes in BW and composition, fetal growth, milk yield and composition and food intake. Genetic-scaling parameters are incorporated to scale individual performance and simulate differences within and between breeds. GARUNS responds to the discrete event signals ‘conception’ and ‘death’ (of embryo or fetus) generated by RFM. In turn, RFM responds to the GARUNS outputs concerning the cow’s energetic status: the daily total processed metabolizable energy per kg BW (TPEW) and the net energy balance (EB). Reproductive function model models the reproductive system as a compartmental system transitioning between nine competence stages: prepubertal (PRPB), anestrous (ANST), anovulatory (ANOV), pre-ovulating (PREO), ovulating (OVUL), post-ovulating (PSTO), luteinizing (LUTZ), luteal (LUTL) and gestating (GEST). The transition from PRPB to ANST represents the start of reproductive activity at puberty. The cyclic path through ANST, PREO, OVUL, PSTO, LUTZ and LUTL forms the regime of ovulatory cycles, whereas ANOV and GEST are transient stages that interrupt this regime. Anovulatory refers explicitly to a stage in which ovulation cannot occur (i.e. interrupted cyclicity), whereas ANST is a pivotal stage within ovulatory cycles. Reproductive function model generates estradiol and progesterone hormonal profiles consistent with reference profiles derived from literature. Cyclicity is impacted by the GARUNS output EB and clearance of estradiol is impacted by TPEW. A farming system model was designed to describe different farm protocols of heat detection, insemination, feeding (amount and energy density), drying-off and culling. Results of model simulation (10 000 simulations of individual cows over 5000 days lifetime period, with randomly drawn genetic-scaling parameters and standard diet) are consistent with literature for reproductive performance. This model allows simulation of deviations in reproductive trajectories along physiological stages of the cow reproductive cycle. It thus provides the basis for evaluation of the relative importance of different factors affecting fertility at individual cow and herd levels across different breeds and management environments.


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Present address: Farm Technology Group, Wageningen University, Droevendaalsesteeg 1, 6708 PB, Wageningen, The Netherlands.



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Alban, L, Agger, JF and Lawson, LG 1996. Lameness in tied Danish dairy cattle: the possible influence of housing systems, management, milk yield, and prior incidents of lameness. Preventive Veterinary Medicine 29, 135149.
Aungier, SPM, Roche, JF, Diskin, MG and Crowe, MA 2014. Risk factors that affect reproductive target achievement in fertile dairy cows. Journal of Dairy Science 97, 34723487.
Boer, HMT, Röblitz, S, Stötzel, C, Veerkamp, RF, Kemp, B and Woelders, H 2011. Mechanisms regulating follicle wave patterns in the bovine estrous cycle investigated with a mathematical model. Journal of Dairy Science 94, 59876000.
Brun-Lafleur, L, Cutullic, E, Faverdin, P, Delaby, L and Disenhaus, C 2013. An individual reproduction model sensitive to milk yield and body condition in Holstein dairy cows. Animal 7, 13321343.
Canfield, RW, Sniffen, CJ and Butler, WR 1990. Effects of excess degradable protein on postpartum reproduction and energy balance in dairy cattle. Journal of Dairy Science 73, 23422349.
Capper, JL, Cady, RA and Bauman, DE 2009. The environmental impact of dairy production: 1944 compared with 2007. Journal of Animal Science 87, 21602167.
Clément, F 2016. Multiscale mathematical modeling of the hypothalamo-pituitary-gonadal axis. Theriogenology 86, 1121.
Clément, F and Monniaux, D 2013. Multiscale modelling of ovarian follicular selection. Progress in Biophysics and Molecular Biology 113, 398408.
Crowe, MA, Diskin, MG and Williams, EJ 2014. Parturition to resumption of ovarian cyclicity: comparative aspects of beef and dairy cows. Animal 8, 4053.
Diskin, MG, Parr, MH and Morris, DG 2012. Embryo death in cattle: an update. Reproduction, Fertility and Development 24, 244251.
Dupont, J, Scaramuzzi, RJ and Reverchon, M 2014. The effect of nutrition and metabolic status on the development of follicles, oocytes and embryos in ruminants. Animal 8, 10311044.
Fenwick, MA, Fitzpatrick, R, Kenny, DA, Diskin, MG, Patton, J, Murphy, JJ and Wathes, DC 2008. Interrelationships between negative energy balance (NEB) and IGF regulation in liver of lactating dairy cows. Domestic Animal Endocrinology 34, 3144.
Fréret, S, Ponsart, C, Rai, DB, Jeanguyot, N, Paccard, P and Humblot, P 2006. Rencontres Recherches Ruminants 13, 281284.
Gaillard, C, Martin, O, Blavy, P, Friggens, NC, Sehested, J and Phuong, HN 2016. Prediction of the lifetime productive and reproductive performance of Holstein cows managed for different lactation durations, using a model of lifetime nutrient partitioning. Journal of Dairy Science 99, 91269135.
Garnsworthy PC, Sinclair KD, Webb R 2008. Integration of physiological mechanisms that influence fertility in dairy cows. Animal 2, 1144–1152.
Grala, TM, Lucy, MC, Phyn, CVC, Sheahan, AJ, Lee, JM and Roche, JR 2011. Somatotropic axis and concentrate supplementation in grazing dairy cows of genetically diverse origin. Journal of Dairy Science 94, 303315.
Le Mézec, P, Barbat-Leterrier, A, Barbier, S, Gion, A and Ponsart, C 2010. Fertilité des principales races laitières – Bilan 1999-2008. Retrieved on 4 September 2017 from
Ledoux, D, Touze, JL, Richard, C, Ponter, AA, Bosc, MJ and Grimard, B 2011. Abnormal patterns of resumption of cyclicity after calving in Holstein cows: risk factors, relationships with the ultrasound appearance of the ovaries and with gestation failure after AI. Revue de Médecine Vétérinaire 162, 98106.
Leroy, JLMR, Opsomer, G, Van Soom, A, Goovaerts, IGF and Bols, PEJ 2008a. Reduced fertility in high-yielding dairy cows: are the oocyte and embryo in danger? part I – the importance of negative energy balance and altered corpus luteum function to the reduction of oocyte and embryo quality in high-yielding dairy cows. Reproduction in Domestic Animals 43, 612622.
Leroy, JLMR, Van Soom, A, Opsomer, G, Goovaerts, IGF and Bols, PEJ 2008b. Reduced fertility in high-yielding dairy cows: are the oocyte and embryo in danger? part II – mechanisms linking nutrition and reduced oocyte and embryo quality in high-yielding dairy cows. Reproduction in Domestic Animals 43, 623632.
Martin, O 2009. Systemic modelling of ruminant female performance. Application to dairy cows. PhD thesis, AgroParisTech, Paris, France.
Martin, O, Blanc, F, Agabriel, J, Disenhaus, C, Dupont, J, Fréret, S, Elis, S, Gatien, J, Salvetti, P and Friggens, NC 2012. A bovine reproductive physiology model (RPM) to predict interactions between nutritional status and reproductive management. Canadian Journal of Animal Science 92, 557558.
Martin, O, Friggens, NC, Dupont, J, Salvetti, P, Fréret, S, Rame, C, Elis, S, Gatien, J, Disenhaus, C and Blanc, F 2013. Data-derived reference profiles with corepresentation of progesterone, estradiol, LH, and FSH dynamics during the bovine estrous cycle. Theriogenology 79, 331343.
Martin, O and Sauvant, D 2010a. A teleonomic model describing performance (body, milk and intake) during growth and over repeated reproductive cycles throughout the lifespan of dairy cattle. 1. Trajectories of life function priorities and genetic scaling. Animal 4, 20302047.
Martin, O and Sauvant, D 2010b. A teleonomic model describing performance (body, milk and intake) during growth and over repeated reproductive cycles throughout the lifespan of dairy cattle. 2. Voluntary intake and energy partitioning. Animal 4, 20482056.
McCracken, JA, Custer, EE and Lamsa, JC 1999. Luteolysis: a neuroendocrine-mediated event. Physiological Reviews 79, 263323.
McNamara JP and Shields SL 2013. Reproduction during lactation of dairy cattle: integrating nutritional aspects of reproductive control in a systems research approach. Animal Frontiers 3, 76–83.
Oltenacu, P and Broom, D 2010. The impact of genetic selection for increased milk yield on the welfare of dairy cows. Animal Welfare 19, 3949.
Phuong, HN, Blavy, P, Martin, O, Schmidely, P and Friggens, NC 2015a. Modelling impacts of performance on the probability of reproducing, and thereby on productive lifespan, allow prediction of lifetime efficiency in dairy cows. Animal 10, 106116.
Phuong, HN, Martin, O, de Boer, IJM, Ingvartsen, KL, Schmidely, P and Friggens, NC 2015b. Deriving estimates of individual variability in genetic potentials of performance traits for 3 dairy breeds, using a model of lifetime nutrient partitioning. Journal of Dairy Science 98, 618632.
Pryce, JE, Coffey, MP and Brotherstone, S 2000. The genetic relationship between calving interval, body condition score and linear type and management traits in registered Holsteins. Journal of Dairy Science 83, 26642671.
Pryce, JE, Nielsen, BL, Veerkamp, RF and Simm, G 1999. Genotype and feeding system effects and interactions for health and fertility traits in dairy cattle. Livestock Production Science 57, 193202.
Sartori, R, Bastos, MR and Wiltbank, MC. 2010. Factors affecting fertilisation and early embryo quality in single and superovulated dairy cattle. Reproduction, Fertility and Development 22, 151158.
Sangsritavong, S, Combs, DK, Sartori, R, Armentano, LE and Wiltbank, MC 2002. High feed intake increases liver blood flow and metabolism of progesterone and estradiol-17beta in dairy cattle. Journal of Dairy Science 85, 28312842.
Walsh, SW, Williams, EJ and Evans, ACO 2011. A review of the causes of poor fertility in high milk producing dairy cows. Animal Reproduction Science 123, 127138.
Wathes, DC, Fenwick, M, Cheng, Z, Bourne, N, Llewellyn, S, Morris, DG, Kenny, D, Murphy, J and Fitzpatrick, R 2007. Influence of negative energy balance on cyclicity and fertility in the high producing dairy cow. Theriogenology 68, 232241.
Zeigler, B 1976. Theory of modeling and simulation. Wiley Interscience, New York, NY, USA.


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