Analysis of the fractal properties of the birth weight of Liangshan semi-fine wool sheep
凉山半细毛羊初生重性状分形特征分析

Understanding of animal population genetic structure about quantitative traits is an important step in animal breeding. In the present study, the data of birth weight of the Liangshan semi-fine wool sheep was first studied by the fractal theory of nonlinear theory. The information dimension, correlation dimension, none-scale range, and the scale range were calculated. The results showed that (1) the information dimensions of the birth weight from 1996 to 2004 ranged from 0.66529 to 0.90675. The none-scale range and the range of the variation were very large. This indicates that the population had large dimensions of the BW (birth weight), large variation, and great potential in breeding; (2) the correlation dimensions ranged from 0.62438 to 0.86528, which indicates that the genetic structures of the population were highly correlated; (3) both of the two dimensions could reveal the fractal properties of the population genetic structure through two different aspects, and it was useful in studying the population genetic structure and animal breeding.