华北落叶松人工林优势木树高差分生长模型研究  

Construction of Height Differential Growth Model of Dominant Trees in Larix gmelinii var.principis-rupprechtii Plantation

作　　者：白高娃 王志波[1] 李银祥[1] 陈晓锋 潘振海 魏高升 鲁娅娜 冯海叶 BAI Gaowa;WANG Zhibo;LI Yinxiang;CHEN Xiaofeng;PAN Zhenhai;WEI Gaosheng;LU Yana;FENG Haiye(Inner Mongolia Academy of Forestry Sciences,Hohhot 010010,China;West Ujimqin Banner Forestry Industry Development Center,Inner Mongolia,Xilinhot 026200,China;Xinghe County Forestry and Grassland Bureau,Inner Mongolia,Ulangab 013650,China;Xinghe County Tourism Service Center(Sumu Mountain Forest Farm of Xinghe County),Inner Mongolia,Ulangab 013650,China)

机构地区：[1]内蒙古自治区林业科学研究院,内蒙古呼和浩特010010 [2]西乌珠穆沁旗林业事业发展中心,内蒙古锡林浩特026200 [3]兴和县林业和草原局,内蒙古乌兰察布013650 [4]内蒙古兴和县旅游服务中心(兴和县苏木山林场),内蒙古乌兰察布013650

出　　处：《内蒙古林业科技》2023年第2期23-28,共6页Journal of Inner Mongolia Forestry Science and Technology

基　　金：内蒙古自治区科技计划项目(2021GG0032)。

摘　　要：为掌握华北落叶松(Larix gmelinii var.principis-rupprechtii)人工林树高生长规律,本文采用5种理论方程及以理论方程为原型推导出的差分方程构建的生长模型,根据模型参数值的生物学含义和模型的绝对系数(R^(2))、均方根误差(RMSE)、绝对误差(AMR)、相对误差(RAR)和残差平方和(RSS)等统计指标选出4个备选模型,通过残差分析最终确定该区域最适宜的树高生长模型。结果表明,理论生长方程及差分方程构建的树高生长模型均有较好的拟合精度,差分方程拟合精度优于理论方程。差分模型(模型7)的R^(2)高于理论模型(模型1)6.95%,RMSE、AMR、RAR、RSS低于理论模型39.72%、58.78%、57.64%、81.50%;基于Richards方程自由参数b推导出的差分模型7为内蒙古乌兰察布市苏木山地区华北落叶松人工林最优树高生长模型。In order to master the law of tree height growth of Larix gmelinii var.principis-rupprechtii plantation,five theoretical equations including Richards equation and the difference equations derived from the theoretical equation were used to construct the growth model,four alternative models were selected according to the biological meanings of the model parameter values and the statistical indicators such as coefficient of determination(R^(2)),root mean square error(RMSE),absolute error(AMR)and relative absolute residual(RAR),residual sum of square(RSS)of the model,and the optimum tree height growth model in this region was finally determined through the residual analysis results of alternative models.The results showed that both the theoretical growth equation and the difference equation had better fitting accuracy,and the fitting accuracy of the difference equation was better than the theoretical equation.R^(2)of the difference model(Model 7)was 6.95%higher than that of the theoretical model(Model 1),and RMSE,AMR,RAR and RSS were 39.72%,58.78%,57.64%and 81.50%less than those of theoretical model.The difference model 7,which was derived from the free parameter b of Richards equation,was the optimal growth model for Larix principis-rupprechtii plantation.

关 键 词：华北落叶松 优势木 树高 差分方程 生长模型 

分 类 号：S791.22[农业科学—林木遗传育种]