Interpreting experimental data on egg production - Modeling considerations

J. France, S. Lopez, J. Dijkstra

Research output: Chapter in Book/Report/Conference proceedingAbstract


This contribution focuses on applying mathematical models based on systems of ordinary first-order differential equations to synthesize and interpret data from egg production experiments. Models based on linear systems of differential equations are contrasted with those based on nonlinear systems. Regression equations arising from analytical solutions to linear compartmental schemes are considered as candidate functions for describing egg production curves, together with aspects of parameter estimation. Extant candidate functions are reviewed, a role for growth functions such as the Gompertz equation suggested, and a function based on a simple new model outlined. Structurally, the new model comprises a single pool with an inflow and an outflow. Compartmental simulation models based on non-linear systems of differential equations, and thus requiring numerical solution, are next discussed and aspects of parameter estimation considered. This type of model is illustrated in relation to development and evaluation of a dynamic model of calcium and phosphorus flows in layers. The model consists of 8 state variables representing calcium and phosphorus pools in the crop, stomachs, plasma, and bone. The flow equations are described by Michaelis-Menten or mass action forms. Experiments that measures Ca and P uptake in layers fed different calcium concentrations during shell-forming days are used to evaluate the model. In addition to providing a useful management tool, such a simulation model also provides a means to evaluate feeding strategies aimed at reducing excretion of potential pollutants in poultry manure to the environment.
Original languageEnglish
Title of host publicationPoultry Science Association Annual Meeting abstracts, Athens, Georgia July 9-12, 2012
Publication statusPublished - 2012
Event2012 Poultry Science Association Annual Meeting, Athens, Georgia -
Duration: 9 Jul 201212 Jul 2012


Conference2012 Poultry Science Association Annual Meeting, Athens, Georgia

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