生物生长的Richrds模型

生物的生长过程若用图形来描述将是一条S曲线，随生物物种、生态环境等因素不同，这一曲线是多样性变化．Richards生长方程当其参数m在数轴上滑动取值时，不仅包含了Mitscherlich，Brody，Bertalanffy，Gompertz，Logistic等生长方程，而且包含了它们的中间过渡类型和更为广义的形状，因而对众多生物物种的多样性生长过程，在细胞、器官、个体与群体等不同层次上具有广泛的适用性．本文中以变形虫、水稻、新疆乌伦古河鲈鱼、福建黄牛与海南坡鹿的Richards生长模型，图示了它的可塑性．

Richards Growth Model of Living-Organism

The growth process of living-organism can be illustrated with sigmoid form curves which vary according to the species, the corresponding ecological enviroment, and other factors.With changes of its parameter m,Richards equation includes Mitscherlich, Brody,Bertalanffy,Compertz, Logistic and other more valuable curve types.In this paper, the following species,such as Amoeba proteus,rice,fish,cattle,and deer, are employed to demonstrate the flexibility of Richards and its utility for cell,organ,individual,and population.