| 广义的Chapman-Richards函数及其在树木和林分生长中的应用 |
| |
| 引用本文： | 刘兆刚,李凤日.广义的Chapman-Richards函数及其在树木和林分生长中的应用[J].林业研究,2003,14(1):19-26. |
| |
| 作者姓名： | 刘兆刚 李凤日 |
| |
| 作者单位： | CollageofForestryResourcesandEnvironment,Nor‘heastForestryUniversity,Harbin150040,P.R.China |
| |
| 基金项目： | This research was supported by Excellent Youth Teacher Project of Ministry of Education. |
| |
| 摘 要： | The generalized Chapman-Richards model was derived from the Chapman-Richards function in which parameters η,κ and m were unconstrained.Based on the structure of solutions and biological interpretations,the model could be classified into eight cases(three categories)at all and among them only 4 kinds of cases are suitable in forestry that represent four typical growth patterns of trees and stands.For each of 4 equations,the model properties and biological interpretations for parameters were discussed in detail.The generalized chapman-Richards model was capable of describing a wide range of growth curves that was asymptotic or nonasymptotic,with or without inflection point.In order to illustrate the versatility of the model,it was fitted to a group of data sets conceming the DBH growth of cryptomeria plantations with 4 initial densities and the DBH and height growth of natural Korean pine tree.Comparing the generalized Chapman-Richards function and the Sohnute model,it was found that the parameters and expressions of the two modets were interchangeable in theory,and the fitting results were explicitly identical in empirical applications.
|
| 关 键 词： | Chapman－Richards方程 广义Chapman－Richards函数 生长模型 高生长 林分生长 |
| 收稿时间： | 28 December 2002 |
The generalized Chapman-Richards function and applications to tree and stand growth |
| |
| Liu?Zhao-gang,Li?Feng-ri.The generalized Chapman-Richards function and applications to tree and stand growth[J].Journal of Forestry Research,2003,14(1):19-26. |
| |
| Authors: | Liu Zhao-gang Li Feng-ri |
| |
| Institution: | (1) Collage of Forestry Resources and Environment, Northeast Forestry University, 150040 Harbin, P. R. China |
| |
| Abstract: | The generalized Chapman-Richards model was derived from the Chapman-Richards function in which parameters h, k and m were unconstrained. Based on the structure of solutions and biological interpretations, the model could be classified into eight cases (three categories) at all and among them only 4 kinds of cases are suitable in forestry that represent four typical growth patterns of trees and stands. For each of 4 equations, the model properties and biological interpretations for parameters were discussed in detail. The generalized Chapman-Richards model was capable of describing a wide range of growth curves that was asymptotic or nonasymptotic, with or without inflection point. In order to illustrate the versatility of the model, it was fitted to a group of data sets concerning the DBH growth of cryptomeria plantations with 4 initial densities and the DBH and height growth of natural Korean pine tree. Comparing the generalized Chapman-Richards function and the Schnute model, it was found that the parameters and expressions of the two models were interchangeable in theory, and the fitting results were explicitly identical in empirical applications. |
| |
| Keywords: | Generalized Chapman-Richards function Schnute model Growth model Growth pattern Cryptomeria japonica Pinus koraiensis |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
