Martin R D, Barbour A D
Anthropologisches Institut and Museum, Universität, Schweiz.
Folia Primatol (Basel). 1989;53(1-4):65-81. doi: 10.1159/000156409.
One of the fundamental problems involved in analyses of the scaling effects of body size (allometric analysis is the choice of an appropriate best-fit line in bivariate logarithmic plots. Following a discussion of some basic aspects of allometric analysis, the tow mai procedures for the determination of a best-fit line - the least-squares regression and the major axis - are examined with respect to their different properties and underlying models. It is important to distinguish intraspecific from interspecific scaling and to recognize the distinction between use of a best-fit line to define a relationship and use of the line for prediction. An alternative model to the bivariate normal distribution, referred to as the 'extruded normal distribution', is presented and its implications are examined with respect to two test cases (scaling of basal metabolic rate in human males; scaling of population density in mammals).
体型缩放效应分析（异速生长分析）所涉及的一个基本问题是在双变量对数图中选择合适的最佳拟合线。在讨论了异速生长分析的一些基本方面之后，针对确定最佳拟合线的两种主要方法——最小二乘回归和主轴法——就它们不同的性质和基础模型进行了研究。区分种内缩放和种间缩放，并认识到使用最佳拟合线来定义关系与将该线用于预测之间的区别很重要。提出了一种双变量正态分布的替代模型，称为“挤压正态分布”，并针对两个测试案例（人类男性基础代谢率的缩放；哺乳动物种群密度的缩放）研究了其含义。
