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Estimating the extent of degradation of ruminant feeds from a description of their gas production profiles observed in vitro: comparison of models

Published online by Cambridge University Press:  09 March 2007

M. S. Dhanoa ,
S. Lopez ,
J. Dijkstra ,
D. R. Davies ,
R. Sanderson ,
B. A. Williams ,
Z. Sileshi  and
J. France
M. S. Dhanoa
Affiliation:
Institute of Grassland and Environmental Research, Plas Gogerddan, Aberystwyth SY23 3EB, UK
S. Lopez
Affiliation:
Department of Animal ProductionUniversity of Leon, 24007 Leon, Spain
J. Dijkstra
Affiliation:
Animal Nutrition Group, Wageningen Institute of Animal Sciences, Wageningen Agricultural University, Marijkeweg 40, 6709 PG Wageningen, The Netherlands
D. R. Davies
Affiliation:
Institute of Grassland and Environmental Research, Plas Gogerddan, Aberystwyth SY23 3EB, UK
R. Sanderson
Affiliation:
Institute of Grassland and Environmental Research, Plas Gogerddan, Aberystwyth SY23 3EB, UK
B. A. Williams
Affiliation:
Animal Nutrition Group, Wageningen Institute of Animal Sciences, Wageningen Agricultural University, Marijkeweg 40, 6709 PG Wageningen, The Netherlands
Z. Sileshi
Affiliation:
Institute of Agricultural Research, PO Box 2003, Ethiopia
J. France*
Affiliation:
The University of Reading, Department of Agriculture, PO Box 236, Earley Gate, Reading RG6 6AT, UK
*
*Corresponding author: Professor J. France, fax +44 (0)118 935 2421, email j.france@reading.ac.uk
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Abstract

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An evaluation of general models that describe gas production profiles is presented. The models are derived from first principles by considering a simple three-pool scheme and permit the extent of ruminal degradation to be calculated, as described in the companion paper. The models evaluated were the generalized Mitscherlich, simple Mitscherlich, generalized Michaelis–Menten, simple Michaelis–Menten, Gompertz, and logistic. Five sets of gas production data consisting of 216 curves, obtained using a wide range of feeds (including straw, hay, silage, grain and various byproducts), were analysed to study the performance of these gas production models. Application of the non-sigmoidal models (simple Mitscherlich and Michaelis–Menten) to the data resulted in convergence problems and these models were found to be inadequate in many cases. Based on results of a pairwise comparison between models (variance ratio test), ranking of residual mean squares, lack-of-fit test, and of analyses of residuals, the generalized Mitscherlich and the generalized Michaelis–Menten models seemed particularly suited because of their flexibility to encompass sigmoidal and non-sigmoidal shapes of gas production profiles, whether symmetrical or not.

Keywords

RumenMathematical modelsGas productionFeed degradation
Type
Research Article
Information
British Journal of Nutrition , Volume 83 , Issue 2 , February 2000 , pp. 131 - 142
Copyright
Copyright © The Nutrition Society 2000

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