Richards方程的数学属性及其在兽类生长过程中的应用

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n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 1 0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。

MATHEMATICAL PROPRETIES OF THE RIVHARDS MODEL AND ITS APPLICATION TO MAMMALIA GROWTH

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 n . 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.