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果树干周生长模型的研究
引用本文:金开正,刘茂泉,唐俊泓.果树干周生长模型的研究[J].数学的实践与认识,2006,36(8):168-172.
作者姓名:金开正  刘茂泉  唐俊泓
作者单位:浙江省杭州万向职业技术学院,浙江,杭州,310023
摘    要:生长模型是定量研究果树干周生长过程的有效手段.果树干周生长规律常用L og istic方程、M itscherlich方程、三参数和四参数的R ichards方程、三角函数方程来模拟.本文首次用拟W e ibu ll方程模拟果树干周的生长规律,结果表明,W e ibu ll方程达到了与果树干周最佳拟合的效果,同时,本文方法可先给定由实际情况(如立地条件等)所确定的干周生长的最大值,这使得在研究中可以更好地预测果树将来的干周增长.另外,考虑到因实际情况所造成的初始干周不同这种普遍现象及其引起的生长过程的差异,本文直接引入与单株树体有关的基准干周作为参数,建立了与实际生长情况相结合的干周生长模型,获得了满意的结果.

关 键 词:果树  干周生长  模型
修稿时间:2002年4月9日

Study on Trunk Girth Growth Model of Fruit Tree
JIN Kai-zheng,LIU Mao-quan,TANG Jun-hong.Study on Trunk Girth Growth Model of Fruit Tree[J].Mathematics in Practice and Theory,2006,36(8):168-172.
Authors:JIN Kai-zheng  LIU Mao-quan  TANG Jun-hong
Abstract:Growth model is an efficient way to study growing process of some factors of plants quantitatively.Trunk girth growth of the fruit tree was studied by means of Logistic equation,Mitscherlich equation,Richards equation with three parameters and four parameters,tricorn function equation,Weibull equation in this paper.The results showed that Weibull equation was the most suitable and could become the other theoretical equations when some parameters were given different value.The maximum trunk girth of fruit trees can be given in advance when Weibull equation is used,and it was even more corresponding to reality.In addition,a trunk girth growth model with real trunk girth of fixed age as a parameter was discussed in the paper.This kind of growth model can calculate trunk girth growth of a given fruit tree.
Keywords:fruit tree  trunk girth growth  model
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