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林业科学 ›› 2008, Vol. 44 ›› Issue (6): 20-27.doi: 10.11707/j.1001-7488.20080605

• 论文 • 上一篇    下一篇

用于干形描述的2个少参数削度函数

Khalid A. Hussein1 Matthias Schmidt2 Heyns Kotzé3 Klaus von Gadow1   

  1. (1.德国哥廷根大学布克哈特研究所〓哥廷根D 37077; 2.德国下萨克森林业试验研究院 哥廷根D237079;3.南非林业研究中心 萨彼1260)
  • 收稿日期:2007-07-26 修回日期:1900-01-01 出版日期:2008-06-25 发布日期:2008-06-25

Parameter Parsimonious Taper Functions for Describing Stem Profiles

Khalid A. Hussein1,Matthias Schmidt2,Heyns Kotzé3,Klaus von Gadow1

  

  1. (1.GeorgAugustUniversitt Gttingen,Burckhardt Institute, Germany Gttingen D 37077;2. Niederschsische Forstliche Versuchsanstalt,Abt. A(Waldwachstum),Grtzelstr. 2,Germany Gttingen D 237079; 3.Safcol Research,P.O. Box 574,South Africa Sabie 1260)
  • Received:2007-07-26 Revised:1900-01-01 Online:2008-06-25 Published:2008-06-25

摘要:

以修正的Brink函数和Pain函数拟合尾巨桉干形曲线。材料来源于南非暖温带花岗岩低地草原地区桉树工业用材林53块标准地的153株尾巨桉干形测定数据。2个削度方程均能对调查数据进行很好地拟合,只是在不同的相对高度时有小的偏差。参数少的方程具有十分好的应用前景,因为从理论上来说,可以用参数预估的方法建立一个广义的干形模型。参数预估不能运用于修正的Brink函数,但在Pain函数的基础上建立参数预估模型是可能的甚至是必要的,因为Pain函数是把绝对树干直径描述为相对树干高度的函数。为此,对参数预估模型是否能描述的树形差异或者仅仅是大小的差异作了测度评价。应用结果表明,参数预估模型未必能用于描述树形的差异。

关键词: 干形模型, Brink函数, Pain函数, 巨桉

Abstract:

The paper presents taper models based on two parameterparsimonious functions,the modified Brink function and the Pain function,for describing stem profiles of Eucalyptus grandistrees. The models were developed from data gathered from Eucalyptus forests grown for sawtimber in the warm temperate granitic Lowveld region in South Africa. The two taper functions provided satisfactory fit to the data set. A small bias was found at different relative heights. Parameter parsimonious functions are promising,as there is a theoretical possibility for developing a generalized stem model using parameter prediction. Parameter prediction was not successful using the modified Brink function. It is always possible and even necessary to develop a parameter prediction model with the help of the Pain function,because the function describes absolute stem diameter as a function of relative stem height. Therefore,a test was made to evaluate,if the parameter prediction functions describe real form differences or only dimension differences. It was found that in this application the parameters might not describe the tree form differences.

Key words: stem profile model, Brink function, Pain function, Eucalyptus grandis