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Richards 方程的数学属性及其在兽类生长过程中的应用

窦薇, 宛新荣   

  1. 山东医科大学生物教研室
  • 出版日期:2006-06-27 发布日期:2008-07-07

MATHEMATICAL PROPERTIES OF THE RICHARDS MODEL AND ITS APPLICATION TO MAMMALIAN GROWTH

DOU Wei, WAN Xinrong   

  • Online:2006-06-27 Published:2008-07-07

摘要: 通过对Richards 方程数学属性的分析表明,该方程具有变动的拐点值,因而在描绘兽类多种多样的生长过程时具有良好的可塑性。依据其方程参数!取值的不同,Richards 方程包含了Spillman, Logistic, Gompertz,以及Bertalanffy 方程。为了评估Richards 方程对兽类生长过程的拟合优度,作者引用10组哺乳动物兽类生长数据,将它与一些经典的生长模型如Spillman, Logistic, Gompertz,以及Bertalanffy 方程方程共同进行了拟合比较。结果表明Richards 方程具有良好的拟合优度,适于描绘多种多样的兽类生长模式。

关键词: Richards 方程, 生长模型, 哺乳动物

Abstract: By analyzing the mathematical properties of Richards model, it reveals that the Richards model has unfixed value of inflexion point and therefore possesses well flexibility in portraying diverse mammalian growth courses. The Richards equation encompasses the Logistic, Gompertz,Spillman and the Bertalanffy equations according to the values of its additional parameter. In order to evaluate the fitness of the Richards model, some traditional growth models(i. e. Spillman Logistic, Gompertz and Bertalanffy) as well as the Richards model are used to fit 10 sets of referenced growth data of mammalia. Based on current analysis the Richards equation has remarkable fitness in depicting diverse growth courses of mammalian species which suggest it is worthy of being considered by data analysts.

Key words: Richards equation, Growth model, Mammalian