Mathematical methods in the breeding evaluation of small  horned ruminants

Abstract

Aim. Traditionally, prediction of breeding values of male small horned ruminants (rams) by referring to levels of economically useful traits of their progeny is carried out by methods of statistical analysis. However, at the same time, there is a forecasting method based on the use of a mixed biometric model. The solution of the system of equations constituting a mixed biometric model is associated with certain difficulties caused by the peculiarity of the system matrix. It is proposed to use integrated mathematical packages in the forecast, by which the system of equations can be solved in several ways, followed by analysis of the results. The prediction of progeny values is carried out by statistical methods using three statistical tests, as well as with the use of a mixed biometric model. It is of interest to compare estimates obtained by using statistical methods with estimates using a mixed biometric model. Material and Methods. The initial data set was the live weight of Qigai rams, the progeny of a group of sixteen rams belonging to eight genetic groups. Results. It was found that the forecast of breeding values of each animal using a mixed biometric model substantially clarifies the rank of each animal in the group being evaluated. Conclusion. The refinement of the estimation of breeding value is related to the effects of the genetic groups to which the animals belong in the mixed model, as well as the degree of relationship between them. Also the mixed model also allows one to isolate environmental effects from the overall assessment. Solving the system of equations in several ways will improve the reliability of the forecast.

Keywords

• племенная оценка
• смешанная биометрическая модель
• статистический анализ
• матрица превосходства
• достоверность различий