The investigation of a complex productivity indicator based on the main components method for evaluating sheep of North Caucasian Meat and Wool breed

Abstract

Improving the productive traits of animals through the use of genetic potential is impossible without a systematic evaluation of productivity characteristics and conformation traits. Special attention has always been paid to the study of the physique of animals in association with their productivity. The priorities in the selection of farm animals today are the parameters of meat productivity. For breeding work in order to increase productivity indicators in sheep, it is necessary to use the most informative parameters. The above dictates the need to apply new approaches to the evaluation of phenotypic parameters. Each trait has certain significance in the description of the phenotype, which can be evaluated on the basis of mathematical methods of analysis. Mathematical analysis, as well as mathematical modeling methods, is successfully used in animal husbandry. A new approach to the lifetime evaluation of sheep meat productivity using a multidimensional analysis method as the analysis of the main components has been presented in the article. The main purpose of the applied analysis method is to reduce the dimensionality for a multidimensional matrix of initial data. As a result of this analysis, a certain number of new variables are obtained which cannot be isolated during the direct study of the object, but has a high degree of correlation with the actual traits. We have described one of the possible ways to solve the problem of forming a complex numerical indicator using the principal component method. This indicator is called a complex indicator of productivity. At the same time, it is expected that the indicator under consideration does not impose restrictions on the number of parameters used in its formation. It is assumed that the high value of the complex productivity indicator obtained on the basis of lifetime measurements of the physique of animals will correspond to the same high value of the complex indicator obtained on the basis of slaughter parameters. As the result of the analysis, the mathematical and statistical method for calculating the correlation between lifetime traits and slaughter indicators of animal productivity has been carried out. On the base of conducted method of mathematical analysis, it can be assumed that the complex indicator can be used as the criterion for evaluating the productivity of sheep.