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Highly Aggregated Simulation Models¹

U.S. Department of Agriculture², Clay Center, NE 68933

Abstract

The process of aggregation of mathematical models and simulation is qualitatively described. Models are conceptually viewed as hierarchical structures. Aggregation results when state-variables and parameters of a model at one level are grouped and replaced by indices at a higher level as the domain of the model becomes broader. Conceptual clarity and computational feasibility of large and complex models stem from judicious use of aggregation. Properties of a system may emerge as a result of moving from lower to higher levels of organization. Quantitative genetic theory and methods often stem from an aggregation process. Several potential applications of models that are aggregated more highly than the level of individual animals and that require expertise in quantitative genetics and livestock production are identified and justified.

¹ Invited paper at a symposium on "The use of systems analysis and simulation models in animal breeding research" at the 79th Annu. Mtg. of the Am. Soc. of Anim. Sci., Logan, Utah, July 28–31, 1987.

² ARS, Roman L. Hruska U.S. Meat Animal Research Center, P.O. Box 166, Clay Center, NE 68933.