• 论文 •

### 东亚飞蝗与亚洲飞蝗的主成分及判别式分析*

1. (陕西师范大学动物研究所，西安 710062)
(陕西师范大学数学系，西安 710062)
• 收稿日期:1995-05-04 修回日期:1996-07-17 出版日期:1997-02-20 发布日期:1997-02-20

### The principal components and discriminant analysis of numerical characters of Locusta migratoria Migratoria L. and L.m.manilensis (Meyen) phase solitaria

Liu Zhibin,Zheng Zheming,Wang Qingchuan

1. 1)Institute of Zoology,Shaanxi Normal University,Xian 710062
2)Department of Mathematics,Shaanxi Normal Universtiy,Xian 710062
• Received:1995-05-04 Revised:1996-07-17 Online:1997-02-20 Published:1997-02-20

V(雌性)=－35.37C+2.72Mx－1.71V+4.31E/F
V(雄性)=－17.22+9.11H－5.64P－1.05F+3.17Mz
这里，当V(雌性或雄性)＜0时，个体属于亚洲飞蝗，否则，属于东亚飞蝗。此外，本研究还利用这两个判别函数对我国部分飞蝗分布区的性质进行了初步分析。

Abstract

In this paper,11 numerical characters of Locustaphase solitaria from morthwest and southwest of China were studied by means of principal components analysis (PCA) and discriminant analysis (DA).PCA shows that,on the individual level,Locusta have a continous variation in space.Considering the difficulity we met in the identification of L.migratoria migratoria L.and L.m.manilensis (Meyen) by using the traditional morphometric method,two linear discriminant functions were calculated for female and male respectively:
V(female)= - 35.37C+2.72Mx - 1.71V+4.31E/F;
V(male)= - 17.22+9.11H - 5.64P - 1.05F+3.17Mz.
Here,if V(female or male)＜0,the individual belongs to L.m.migratoria, otherwise,it belongs to L.m.manilensis.In addition,by using the discriminant functions,the nature of some Locusta areas of  China was analysised preliminarily.