多个部分与整体间异速生长关系的联合分析模型

Joint Analysis Model for Allometric Relationship of Multiple Partial Body Size and Entire Body Size

简单的异速生长模型的反函数还是一个幂函数,也可以用于确定有机体的异速生长尺度关系;但此时得到的尺度指数(即异速生长指数)的含义,与由简单异速生长函数得到的尺度指数具有相反的生物学含义。基于以上考虑,建立了一个整体与多个体成分的联合静态异速生长尺度模型。此模型不但可以用来联合估计多个部分和器官相对于整体的异速生长指数,而且考虑了多个部分或组织器官之间的相互关系,大大方便了统计推断和实践应用。基于个体发育的异速生长是具有时间依从性的,因此个体的异速生长是用多元逐步回归分析整体与多个体成分和器官随着时间的改变量。异速生长尺度的联合分析法适用于分析那些具有相同或相似的多个生物学性状和功能,本文将通过对两个实例的分析来详细阐明。

The reciprocal of the simple allometric model is also a power function , which can determine the allometric re-lationship of the organism .However , the meaning of scaling exponent （ ie allometric index ） is opposite to the biology meaning of scale from simple exponential function .Based on the above considerations , a static allometry scaling model of entire body size on multiple partial body size is developed , which can not only simultaneously evaluate allometry scaling of multiple partial body size , but also take into account the correlations among multiple partial body size .Ontogeny allo-metric may be time-dependent , thus individuals allometric is a variable changed with time , which can be derived from multiple stepwise regression analysis .The proposed joint analysis method is suitable for analyzing the same or similar mul-tiple biological traits and functions , which will be illustrated in detail through two examples .