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首页> 外文期刊>Journal of Forest Planning >A Sunny Crown Profile Equation for Hinoki Cypress based on the Height Increment
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A Sunny Crown Profile Equation for Hinoki Cypress based on the Height Increment

机译：基于高度增量的H木柏树的Sunny Crown轮廓方程

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The power equation r = az~b is often used to represent the sunny crown profile of conifers, where r is the crown radius (m) at distance z (m) from the tree apex, and a and b are parameters. When parameter b is invariant between trees, parameter a is the only independent variable that determines the sunny crown profile. Assuming that parameter b is invariant between trees, this study derived a sunny crown profile equation for Hinoki cypress (Chamaecyparis obtusa ENDL.) based on the power equation fromthe relationship between parameter a and the annual height increment HI (m/year) : a = cHI~d where c and d are parameters. First, we derived the relationship a = cHI~d. Next, we evaluated the efficacy of the equation r = cHI~dz~b at representing the sunny crown profile of Hinoki cypress. Data were obtained from 112 trees in six pure stands of even-aged Hinoki cypress. The fit of the equation a = cHI~d to the data was good. The equation r = cHI~dz~b made more precise predictions than the equation r = az~b assumed that each of parameters a and b is common to all trees. The values of parameters b, c, and d estimated from the sample trees were 0.686, 0.401, and -0.299, respectively. The integration of the sunny crown profile equation r = cHI~dz~b with a tree growth model, including the total height growth and the sunny crown length estimations, enables prediction of the sunny crown profile and its change with growth for Hinoki cypress.
机译：幂方程r = az〜b通常用于表示针叶树的晴天冠轮廓，其中r是距树顶点的距离z（m）处的冠半径（m），而a和b是参数。当参数b在树之间不变时，参数a是唯一确定晴天冠轮廓的自变量。假设参数b在树木之间是不变的，本研究基于参数a与年高度增量HI（m / year）之间的关系，基于功率方程，得出了Hinoki柏（Chamaecyparis obtusa ENDL。）的晴天冠轮廓方程。 cHI〜d其中c和d是参数。首先，我们推导关系a = cHI〜d。接下来，我们评估了方程r = cHI〜dz〜b代表Hinoki柏树的晴天冠状轮廓的功效。数据是从6个纯熟的扁柏的纯林中的112棵树木获得的。方程a = cHI〜d与数据的拟合良好。假设参数a和b中的每一个对于所有树木都是公共的，与方程r = az〜b相比，方程r = cHI〜dz〜b进行的预测更精确。从样本树估计的参数b，c和d的值分别为0.686、0.401和-0.299。晴天冠轮廓方程r = cHI〜dz〜b与树木生长模型的积分，包括总高度的增长和晴天冠长度的估计，可以预测日木柏树的晴天冠轮廓及其随生长的变化。

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