Author Information

Edward Gbur
C. Dayton Steelman

Abstract

The horn fly is an economically important external permanent parasite of cattle. As part of a research project focused on alternatives to chemical control of the horn fly, a study was conducted to determine the degree of innate resistance of individual cattle to the horn fly. A fly resistant cow was defined as one whose horn fly counts were in the lower quartile of the weekly fly count distributions for a herd more often than would be expected by chance. A Markov chain model was formulated and a small sample test for fly resistance was developed. The model and procedure are illustrated using data collected on a herd of Charolais cows. Tests of the Markov chain and stationarity assumptions are discussed and applied to the data.

Keywords

Bernoulli process, Independence, stationarity

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Apr 26th, 11:00 AM

A MARKOV CHAIN MODEL TO ASSESS RESISTANCE OF CATTLE TO HORN FLIES

The horn fly is an economically important external permanent parasite of cattle. As part of a research project focused on alternatives to chemical control of the horn fly, a study was conducted to determine the degree of innate resistance of individual cattle to the horn fly. A fly resistant cow was defined as one whose horn fly counts were in the lower quartile of the weekly fly count distributions for a herd more often than would be expected by chance. A Markov chain model was formulated and a small sample test for fly resistance was developed. The model and procedure are illustrated using data collected on a herd of Charolais cows. Tests of the Markov chain and stationarity assumptions are discussed and applied to the data.