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A M0DEL OF BIVARIATE NORMAL ELLIPSE FOR HOME RANGE OF ANIMALS

SU Jjanping, LIU Jike   

  • Online:2006-07-29 Published:2007-09-13

动物巢区二维正态概率模型的探讨

苏建平, 刘季科   

  1. 中国科学院西北高原生物研究所,西宁

Abstract: The authors in this paper point out that there are at least three problems in the
present bivariate normal home range models besides lack of available method for testing the location data for conformity to the general bivariate normal distribution.
These problems include (1) Home range definition may be incorrect,such as the index of A4(Jennrich
et al,1969),Ac (Mazurkiewicz,1969),the standard ellipse and Ap(Koeppl et a1.1975) which are not derivable from the density function of bivariate normal distribution. (2) Determining the bundary of home range as that of Calhoun and Casby's
normal circle (Jennrlch et al,1969);Mazurkiewicz,1969,197I;Dunn et al. 1977).violates the hypothesis of ρ≠0. (3)No available method for recognizing the extreme locations and for rejecting
their influences on home range estimates including size,shape and orientation. To overcome a!l disadvantages mentioned above,the authors proposed another
mode1.Home range data is tested for conformity to bivariate normal distribution by calculating the Cramer—von Mises statistic based on the assumption are approximately distributed as ,where Xi is the vector containing x and y coordinates of the ith location, the sample mean vector and S sample variance-co varianceeovariance matrix. A weighted iteration procedure proposed by Rand les et al.(1978)and Campbell is used to recognize the atypical observations and to reject their effects.If the home range data is proved to be consistent with genial or weighted bivariate normal distribution, the home range may be defined as the area surrounded by the elliptical curve

Key words: Bivariate normal djstribution, Weighted, Extreme location, Home range, Prohahitistic model

摘要: 本文根据二维正枣分布的性质以及识别动物极端活动位点的技术建立了—种动物巢区二维正态概率模型。应用中,首先对动物活动位点进行二维正态分布检验,采用加权法消除了极端位点的影响。在二维正态分布条件下,动物巢区定义为由下列方程决定的椭圆区域。 公式省略

关键词: 二维正态分布, 加权, 极端位点, 巢区, 概率模型