凉山半细毛羊初生重性状分形特征分析

Analysis of the fractal properties of the birth weight of Liangshan semi-fine wool sheep

首次以非线性理论中的分形理论对凉山半细毛羊的初生重数据进行分析,计算了1996～2004年间初生重性状的信息维数、关联维数、无标度区及性状测度范围。结果表明:(1)从1996～2004年凉山半细毛羊的初生重性状的信息维数都集中在0.66529～0.90675,而且无标度区较大,测度范围广。该结果说明,每年羔羊初生重信息维数都较大,群体存在十分丰富的变异,变异范围广,具有十分巨大的育种潜力;(2)相应的关联维数则集中在0.62438～0.86528之间,表明群体内个体遗传结构具有较强的相关性;(3)这两个分形维数能够分别从两个不同的角度揭示群体遗传结构的分形特征。

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 dimen- sions 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.