文献类型：期刊文献

中文题名：基于混合效应模型的相容性削度-材积方程研究

英文题名：Compatible Taper-Volume Equation Based on Mixed Effect Model

作者：李春明[1]

第一作者：李春明

机构：[1]中国林业科学研究院资源信息研究所,北京100091

年份：2024

卷号：39

期号：2

起止页码：210-216

中文期刊名：西北林学院学报

外文期刊名：Journal of Northwest Forestry University

收录：CSTPCD;;北大核心:【北大核心2023】；CSCD:【CSCD2023_2024】；

基金：国家自然科学基金面上项目(31870624)

语种：中文

中文关键词：削度方程;相容性削度-材积方程;非线性似乎不相关回归;混合效应模型;商品材材积

外文关键词：taper equation;compatible taper-volume equation;nonlinear seemingly unrelated regression;mixed effect model;merchantable volume

分类号：S758

摘要：为构建一个能够准确估计树干从地面到任意部位高度的直径和材积的相容性削度-材积方程,以吉林省汪清林业局金沟岭林场的冷杉解析木数据为例,选择基于材积比方程和基于积分方法这2种方法来构建相容性削度-材积方程系统。在模拟时,采用3种参数估计方法来估计2个系统中的削度方程、全树干材积和商品材材积方程的参数,并考虑样木间的随机效应。选择均方根误差和平均绝对残差等指标,对精度进行比较。最后发展出一个能够准确预测树干任意高度的直径、全树干材积和商品材材积的相容性削度-材积方程系统。结果表明,在2个相容性削度-材积系统中,采用削度方程参数估计方法提供了商品材材积和全树干材积的最差预测,似乎不相关参数方法在材积比方程方法构建的相容性削度-材积方程系统中的精度最高,商品材材积参数方法在积分方法构建的相容性削度-材积方程系统中的精度最高。2个相容性削度-材积系统中无论采用商品材材积参数估计方法还是削度方程参数估计方法,在考虑单木的随机效应后,模型的模拟和验证效果都得到很大的提高。基于积分方法的相容性削度-材积方程系统的模拟和验证精度要高于基于材积比方程方法的相容性削度-材积方程系统的模拟和验证精度。总体来说,相容性削度-材积方程系统可以保证削度方程、商品材材积方程和全树干材积方程在形式和算法上相容。
A system of equations for compatible taper-volume equation system that allows for different definitions of tree volume was developed in this study.Using the fir stem analysis data of Jingouling Forest Farm,Wangqing Forestry Bureau,Jilin Province,the compatible taper-volume equation system was constructed based on volume ratio equation method and integration method.In fitting model,three parameter estimation methods were used to estimate the parameters of the taper equation,total volume and merchantable volume equation in both systems,and the random effects of sample trees was considered.The root mean square error and mean absolute residual were selected to compare the accuracy between different systems of equations.Finally,a compatible taper-volume equations system which could accurately predict the diameter of any height and total volume of the stem was developed.The taper equation parameter estimation method provided the worst prediction of the merchantable volume and the total volume,and also don t guarantee the best prediction of taper equation.After considered the tree s random effect,the simulation effect was greatly improved whether using the merchantable volume parameter estimation method or the taper equation parameter estimation method.The accuracy of the compatible taper-volume equation system based on the integral method was higher than that of the volume ratio equation method.The compatible taper-volume equation system can ensure that the taper equation,the merchantable volume equation and the total volume equation are compatible in form and algorithm.