Hostname: page-component-848d4c4894-tn8tq Total loading time: 0 Render date: 2024-06-20T17:08:16.008Z Has data issue: false hasContentIssue false

A model of growth, pregnancy and lactation in the red deer

Published online by Cambridge University Press:  03 March 2009

I. VETHARANIAM*
Affiliation:
AgResearch Ltd, Ruakura Research Centre, Private Bag 3123, Hamilton, New Zealand
D. R. STEVENS
Affiliation:
AgResearch Ltd, Invermay Research Centre, Private Bag 50034, Mosgiel, New Zealand
G. W. ASHER
Affiliation:
AgResearch Ltd, Invermay Research Centre, Private Bag 50034, Mosgiel, New Zealand
S. J. R. WOODWARD
Affiliation:
AgResearch Ltd, Ruakura Research Centre, Private Bag 3123, Hamilton, New Zealand
J. A. ARCHER
Affiliation:
AgResearch Ltd, Invermay Research Centre, Private Bag 50034, Mosgiel, New Zealand
M. D. ROLLO
Affiliation:
AgResearch Ltd, Ruakura Research Centre, Private Bag 3123, Hamilton, New Zealand
*
*To whom all correspondence should be addressed. Email: kumar.vetharaniam@agresearch.co.nz

Summary

A model of the growth, pregnancy and lactation of red deer was developed for incorporation into a whole-farm systems model in order to improve the understanding of venison supply systems. The model estimates the level of metabolic demand for a deer, which depends on the maximum capacity of its tissues to use energy. A function that takes account of satiation signals and rumen capacity is used to convert the metabolic demand into an estimate of the deer's forage intake demand, which can be used as an input into a foraging model. The actual energy intake of the deer is subsequently used to predict live weight (LW), body condition score, foetal growth and gestation length in pregnant hinds, and milk yield in lactating hinds. In order to make these predictions, the model requires inputs that include values for mean daily temperature, mean daily wind speed, day length and season, as well as pasture quality. Values for model parameters were obtained from the literature, rather than by fitting to data, and model predictions were then compared with measurements obtained in independent trials.

In simulations, the model predicted that 152-day-old stags and hinds, weighing, respectively, 44 and 48 kg, would grow to, respectively, 106 and 90 kg when 517 days old, compared with trial results of, respectively, 103 and 84 kg. Predictions for the weight of pregnant hinds, gestation length and calf birth weight compared well with an experiment for hinds on a high plane of nutrition but poorly for hinds on medium and low planes. Weekly predictions of hind LWs for days 132–230 of pregnancy had respective residual means of 0·08, 6·2 and 8·5 kg, and respective residual standard deviations of 1·33, 4·6 and 5·2 kg for the high, medium and low nutritional planes. Predicted gestation length for high, medium and low planes of nutrition were, respectively, 231·5, 238·0 and 242·0 days compared with experimental values of, respectively, 231·3, 234·7 and 239·2 days, while predicted birth weights were, respectively, 8·5, 8·3 and 8·9 kg compared with measured values of, respectively, 8·4, 9·5 and 9·3 kg. Predicted calf growth from birth to 14 weeks agreed well with data (residual mean and standard deviation being 0·04 and 1·15 kg, respectively).

The existing software structure of the whole-farm model dictated that the deer model use the Euler method with a fixed, daily time step. Therefore, the model was constructed using difference (rather than differential) equations and used a traditional, energy-balance method for predicting growth. This empirical approach tacitly imposed a standard body composition and standard metabolic rate for adults, with values corresponding to well-fed deer. This does not cater for variation in body composition and metabolic activity, and in retrospect, caused the model to perform poorly for the medium and low nutritional regimes.

Type
Modelling Animal Systems Paper
Copyright
Copyright © 2009 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

AAC (1990). Feeding Standards for Australian Livestock Ruminants. CSIRO, East Melbourne, Australia: Australian Agricultural Council, Ruminants Subcommittee.Google Scholar
Adam, C. L., McDonald, I., Moir, C. E. & Pennie, K. (1988 a). Foetal development in red deer (Cervus elaphus). 1. Growth of the foetus and associated tissues. Animal Production 46, 131138.Google Scholar
Adam, C. L., McDonald, I., Moir, C. E. & Smart, R. I. (1988 b). Foetal development in red deer (Cervus elaphus) 2. Chemical composition of the foetus and associated tissues. Animal Production 46, 139146.Google Scholar
ARC (1980). The Nutrient Requirements of Ruminant Livestock. Farnham Royal, UK: Agricultural Research Council, Commonwealth Agricultural Bureau.Google Scholar
Arman, P., Kay, R. N. B., Goodall, E. D. & Sharman, G. A. M. (1974). The composition and yield of milk from captive red deer (Cervus elaphus L). Journal of Reproductive Fertility 37, 6784.CrossRefGoogle ScholarPubMed
Asher, G. W. & Adams, J. L. (1985). Reproduction of farmed red and fallow deer in northern New Zealand. In Biology of Deer Production (Eds Fennessy, P. F. & Drew, K. R.), pp. 217224. Wellington, New Zealand: The Royal Society of New Zealand.Google Scholar
Asher, G. W., Mulley, R. C., O'Neill, K. T., Scott, I. C., Jopson, N. B. & Littlejohn, R. P. (2005). Influence of level of nutrition during late pregnancy on reproductive productivity of red deer I. Adult and primiparous hinds gestating red deer calves. Animal Reproduction Science 86, 261283.CrossRefGoogle Scholar
Audigé, L., Wilson, P. R. & Morris, R. S. (1998). A body condition score system and its use for farmed red deer hinds. New Zealand Journal of Agricultural Research 41, 545553.CrossRefGoogle Scholar
DEEResearch (2006). About DEEResearch. Available online at http://www.deeresearch.org.nz/about.asp (verified 22 March 2008).Google Scholar
Devir, S., Zur, B., Maltz, E., Genizi, A. & Antler, A. (1995). A model for the prediction of dairy cow body weight based on a physiological time scale. Journal of Agricultural Science, Cambridge 125, 415424.CrossRefGoogle Scholar
DINZ (2006). Market Report. Wellington, New Zealand: Deer Industry NZ. Report No. 83 (March). Available online at http://www.deernz.org/upload/notion/sectionimages/2254_914-MR_final.pdf (verified 4 February 2009).Google Scholar
Finlayson, J. D., Cacho, O. J. & Bywater, A. C. (1995). A simulation model of grazing sheep: I. Animal growth and intake. Agricultural Systems 48, 125.CrossRefGoogle Scholar
Gao, X., Fuhe, Y. C. L. & Stevens, D. R. (2003). Progress on nutritional requirements of deer farmed for velvet production in China. In The Nutrition and Management of Deer on Grazing Systems (Ed .Casey, M. J.), pp. 6972. Dunedin, New Zealand: New Zealand Grassland Association.Google Scholar
Garcia, A., Landete-Castillejos, T., Molina, A., Albinana, B., Fernandez, C., Garde, J. & Gallego, L. (1999). Lactation curves in captive Iberian red deer (Cervus elaphus hispanicus). Journal of Animal Science 77, 31503155.CrossRefGoogle Scholar
Holmes, C. W., Brookes, I. M., Garrick, D. J., MacKenzie, D. D. S., Parkinson, T. J. & Wilson, G. F. (2002). Milk Production from Pasture. Palmerston North, New Zealand: Massey University.Google Scholar
Hudson, R. J. (1993). International deer industry. ARRC International Symposium 4, 921.Google Scholar
Hudson, R. J. (2004). Feeding Standards for Farmed Deer. Available online at http://www.deer.rr.ualberta.ca/research/digitaldeer/bion/index.htm (verified 4 February 2009).Google Scholar
Hudson, R. J. & White, R. G. (1985). Computer simulation of energy budgets. In Bioenergetics of Wild Herbivores (Eds Hudson, R. J. & White, R. G.), pp. 261290. Boca Raton, FL, USA: CRC Press.Google Scholar
Jermy, C. (2003). Industry overview from an international perspective. The nutrition and management of deer on grazing systems. Grassland Research and Practice Series 9, 14.CrossRefGoogle Scholar
Keller, A. A. (1989). Modeling the effects of temperature, light and nutrients on primary productivity: an empirical and a mechanistic approach compared. Limnology and Oceanography 34, 8295.CrossRefGoogle Scholar
Koong, L. J., Falter, K. H. & Lucas, H. L. (1982 a). A mathematical model for the joint metabolism of nitrogen and energy in cattle. Agricultural Systems 9, 301324.CrossRefGoogle Scholar
Koong, L. J., Ferrell, C. L. & Nienaber, J. A. (1985). Assessment of interrelationships among levels of intake and production, organ size and fasting heat production in growing animals. Journal of Nutrition 115, 13831390.CrossRefGoogle ScholarPubMed
Koong, L. J., Nienaber, J. A., Pekas, J. C. & Yen, J. T. (1982 b). Effects of plane of nutrition on organ size and fasting heat production in pigs. Journal of Nutrition 112, 16381642.CrossRefGoogle ScholarPubMed
Küffer, C., Fischlin, A. & Filli, F. (2001). An Individual-based Model of the Summer Energy Budget of Red Deer (Cervus elaphus L.) in the Swiss National Park. Available online at http://www.ito.umnw.ethz.ch/SysEcol/Articles_Reports/Ku44.pdf (verified 22 December 2008).Google Scholar
Kusmartono, Shimada A. & Barry, T. N. (1997). Rumen digestion and rumen outflow rate in deer fed fresh chicory (Cichorium intybus) or perennial ryegrass (Lolium perenne). Journal of Agricultural Science, Cambridge 128, 8794.CrossRefGoogle Scholar
Landete-Castillejos, T. & Gallego, L. (2000). Technical note: the ability of mathematical models to describe the shape of lactation curves. Journal of Animal Science 78, 30103013.CrossRefGoogle ScholarPubMed
Landete-Castillejos, T., Garcia, A., Garde, J. & Gallego, L. (2000). Milk intake and production curves and allosuckling in captive Iberian red deer, Cervus elaphus hispanicus. Animal Behaviour 60, 679687.CrossRefGoogle Scholar
Landete-Castillejos, T., Garcia, A., Gómez, J. A., Molina, A. & Gallego, L. (2003). Subspecies and body size allometry affect milk production and composition, and calf growth in red deer: comparison of Cervus elaphus hispanicus and Cervus elaphus scoticus. Physiological and Biochemical Zoology 76, 594602.CrossRefGoogle Scholar
Linzell, J. L. (1972). Milk yield, energy loss in milk and mammary gland weight in different species. Dairy Science Abstracts 34, 351360.Google Scholar
Loudon, A. S. I. & Kay, R. N. B. (1984). Lactation constraints on a seasonally breeding mammal: the red deer. In Physiological Strategies in Lactation (Eds Peaker, M., Vernon, R. G. & Knight, C. H.), pp. 233252. London: Zoological Society.Google Scholar
McCracken, K. J. (1992). Merits of empirical and mechanistic approaches to the study of energy metabolism. Proceedings of the Nutrition Society 51, 125133.CrossRefGoogle Scholar
Moore, G. H., Cowie, G. M. & Bray, A. R. (1985). Herd management of farmed red deer. In Biology of Deer Production (Eds Fennessy, P. F. & Drew, K. R.), pp. 343356. Wellington, New Zealand: The Royal Society of New Zealand.Google Scholar
Nestorov, I., Rowland, M., Hadjitodorov, S. T. & Petrov, I. (1999). Empirical versus mechanistic modelling: comparison of an artificial neural network to a mechanistically based model for quantitative structure pharmacokinetic relationships of a homologous series of barbiturates. AAPS PharmScience. Available online at http://www.aapsj.org/view.asp?art=ps010417 (verified 22 December 2008).Google Scholar
Oltjen, J. W., Bywater, A. C., Baldwin, R. L. & Garret, W. N. (1986). Development of a dynamic model of beef cattle growth and composition. Journal of Animal Science 62, 8697.CrossRefGoogle Scholar
Press, W. H., Teukolsky, S. A., Vetterling, W. T. & Flannery, B. P. (2002). Numerical Recipes in C++. The Art of Scientific Computing, 2nd edn. Cambridge, UK: Cambridge University Press.Google Scholar
Rollo, M. D., Stevens, D. R., Woodward, S. J. R., Archer, J. A., Asher, G. W. & Vetharaniam, I. (2005). Modelling an intensive deer farming system – InverDeer. In MODSIM 2005: Proceedings of the International Congress on Modelling and Simulation (Eds Zerger, A. & Argent, R. M.), pp. 253258. Canberra, Australia: Modelling and Simulation Society of Australia and New Zealand.Google Scholar
Sibbald, A. M. & Milne, J. A. (1993). Physical characteristics of the alimentary tract in relation to seasonal changes in voluntary food intake by the red deer (Cervus elaphus). Journal of Agricultural Science, Cambridge 120, 99102.CrossRefGoogle Scholar
Siple, P. A. & Passel, C. F. (1945). Measurements of dry atmospheric cooling in subfreezing temperatures. Proceedings of the American Philosophical Society 89, 177199.Google Scholar
Spalinger, D. E., Robbins, C. T. & Handley, T. A. (1986). The assessment of handling time in ruminants: the effects of plant chemical and physical structure on the rate of breakdown of plant particles in the rumen of mule deer and elk. Canadian Journal of Zoology 64, 312321.CrossRefGoogle Scholar
Suttie, J. M., Fennessy, P. F., VeenVliet, B. A., Littlejohn, R. P., Fisher, M. W., Corson, I. D. & Labes, R. E. (1987). Energy nutrition of young red deer (Cervus elaphus) hinds and a comparison with young stags. Proceedings of the New Zealand Society of Animal Production 47, 111113.Google Scholar
Tedeschi, L. O. (2006). Assessment of the adequacy of mathematical models. Agricultural Systems 89, 225247.CrossRefGoogle Scholar
Vetharaniam, I. & Davis, S. R. (2006). A composite model of growth pregnancy and lactation. In Nutrient Digestion and Utilization in Farm Animals: Modelling Approaches (Eds Kebreab, E., Dijkstra, J., Bannink, A., Gerrits, W. J. J. & France, J.), pp. 416438. Wallingford, UK: CAB International.CrossRefGoogle Scholar
Vetharaniam, I., Davis, S. R., Upsdell, M., Kolver, E. S. & Pleasants, A. B. (2003). Modelling the effect of energy status on mammary gland growth and lactation. Journal of Dairy Science 86, 31483156.CrossRefGoogle ScholarPubMed
Vetharaniam, I., McCall, D. G., Fennessy, P. F. & Garrick, D. J. (2001). A model of mammalian energetics and growth: model development. Agricultural Systems 68, 5568.CrossRefGoogle Scholar
Ward, J. F., Archer, J. A., Asher, G. W., Barrell, G. K. & Littlejohn, R. P. (2008). Brief communication: does calf genotype influence milk yield of red deer hinds? Proceedings of the New Zealand Society of Animal Production 68, 170171.Google Scholar
Webster, J. R., Corson, I. D., Littlejohn, R. P. & Suttie, J. M. (1997). Increased winter growth in male red deer calves under an extended photoperiod. Animal Science 65, 305310.CrossRefGoogle Scholar
Wood, P. D. P. (1967). Algebraic model of the lactation curve in cattle. Nature 216, 164165.CrossRefGoogle Scholar
Woodward, S. J. R., Lambert, M. G., Litherland, A. J. & Boom, C. J. (2001). Can a mathematical model accurately predict intake of grazing animals? Testing the Q-Graze model. Proceedings of the New Zealand Society of Animal Production 61, 47.Google Scholar
Yamashita, F. & Hashida, M. (2003). Mechanistic and empirical modeling of skin permeation of drugs. Advanced Drug Delivery Reviews 55, 11851199.CrossRefGoogle ScholarPubMed