应用生态学报2017，Vol.28Issue(9)：2831-2839,9.DOI:10.13287/j.1001-9332.201709.036
基于混合效应的大别山地区杉木树高-胸径模型比较
Comparisons of height-diameter models of Chinese fir based on mixed effect in Dabie Mountain area, China
摘要
Abstract
A total of 1087 sets of data from 30 plots of Chinese fir (Cunninghamia lanceolata) plantations were collected from Mazongling forestry farm in Dabie Mountains of Anhui Province.Seven commonly used height-diameter (H-D) models (i.e.linear,Chapman-Richards,Logistic models,etc.) were selected and fitted by the least square method to obtain the optimal basic model (equation 11,a Chapman-Richards model with variable D only).Based on this optimal basic model,we built up the H-D model (equation 12) with two stand variables [mean height of dominant trees (DH) and density).Meanwhile,with the consideration of plot random effect,the mixed model,called equation 13 and 14,which based on equation 11 and 12 were constructed,using the power and exponent functions to eliminate heteroscedasticity.Then coefficient of determination (R2),root-mean-square error (RMSE),mean absolute error (MAE) and mean absolute percentage error (MAPE) were used to evaluate their abilities of model fitting and prediction for determining the best model.The results showed that the fit accuracy of the model with stand variables (equation 12) (R2=0.863,RMSE=1.381,MAPE=0.971) was better than the basic model (equation 11) (R2 =0.827,RMSE =1.554,MAPE =0.101).For error variance,the power function and the exponent function could eliminate the heteroscedasticity,but the former was better than the latter.The mixed models (equation 13,14) had better fitting and prediction precision than equation 11,12.There was no significant difference between the two mixed models (equation 13,14) in fitting and prediction precision.In application,due to a better description of H-D relationship between different stands,the mixed-effect model (equation 13) could be used to predict tree height for Chinese fir plantations with higher precision.关键词
树高-胸径模型/林分变量/非线性混合模型/杉木人工林Key words
height-diameter model/stand variables/nonlinear mixed-effect model/Chinese fir plantation引用本文复制引用
樊伟,许崇华,崔珺,王晶晶,刘西军,徐小牛..基于混合效应的大别山地区杉木树高-胸径模型比较[J].应用生态学报,2017,28(9):2831-2839,9.基金项目
本文由国家重点研发计划项目(2016YFD0600304)和国家重点基础研究发展计划项目(2012CB416905)资助 （2016YFD0600304）
This work was supported by the National Key Research and Development Project (2016YFD0600304) and the National Key Basic Research and Development Project (2012CB416905). （2016YFD0600304）
