Methods for using an integro-differential equation as a model of tree height growth
Methods for using an integro-differential equation as a model of tree height growth
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使用积分微分方程作为树高生长模型的方法
DOI：
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
R. A. Leary
中科院分区：
文献类型：
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作者：
David Hamlin;R. A. Leary
建立了树高生长的积分-微分方程模型，并对其系数进行了生物学解释。将积分-微分方程化为具有初始条件约束的二阶线性微分方程。由于约束条件的存在，微分方程的拟合最好采用多点边值法。给出了一个使用干分析数据的实例。该模型很好地拟合了数据，并且随上渐近线呈单调增长，尽管可能存在其他几种曲线形式。
An integro-differential equation model of tree height growth is developed, together with a biological interpretation of its coefficients. The integro-differential equation is reduced to a second order linear differential equation with constraints on its initial conditions. Because of the constraints, fitting of the differential equation is best accomplished using a multipoint boundary value approach. An example using stem analysis data is presented. The model fit the data well and was montonically increasing with an upper asymptote, although several other curve forms are possible.