Stochastic frontiers or regression quantiles for estimating the self-thinning surface in higher dimensions?

作     者：Dechao Tian Huiquan Bi Xingji Jin Fengri Li Dechao Tian;Huiquan Bi;Xingji Jin;Fengri Li

作者机构：Key Laboratory of Sustainable Forest Ecosystem Management-Ministry of EducationSchool of ForestryNortheast Forestry UniversityNo.26 Hexing RoadHarbin 150040People’s Republic of China Forest ScienceNSW Department of Primary Industries−ForestryLevel 1210 Valentine AveParramattaNSW 2150Australia School of Ecosystem and Forest SciencesThe University of MelbourneParkvilleVIC 3010Australia 

出 版 物：《Journal of Forestry Research》 (林业研究（英文版）)

年 卷 期：2021年第32卷第4期

页      面：1515-1533页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 09[农学] 0903[农学-农业资源与环境] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：funded by the National Key R&D Program of China (2017YFD0600402) Provincial Funding for National Key R&D Program of China in Heilongjiang Province(Project No.GX18B041) the Overseas Famous Scholar Program of the Ministry of Educatoin,China (Project No.MS2016DBLY018) 

主　　题：Larix olgensis Normal-half normal distribution Site productivity Woody weeds Sample size Quantile selection 

摘      要：Stochastic frontier analysis and quantile regression are the two econometric approaches that have been commonly adopted in the determination of the self-thinning boundary line or surface in two and higher dimensions since their introduction to the field some 20 years ***,the rational for using one method over the other has,in most cases,not been clearly explained perhaps due to a lack of adequate appreciation of differences between the two approaches for delineating the self-thinning *** an adequate understanding of such differences,the most informative analysis may become a missed opportunity,leading to an inefficient use of data,weak statistical inferences and a failure to gain greater insight into the dynamics of plant populations and forest stands that would otherwise be *** data from 170 plot measurements in even-aged Larix olgensis(***) plantations across a wide range of site qualities and with different abundances of woody weeds,*** regenerated non-crop species,in northeast China,this study compared the two methods in determining the self-thinning surface across eight sample sizes from 30 to 170 with an even interval of 20 observations and also over a range of quantiles through repeated random sampling and *** all sample sizes and over the quantile range of 0.90 ≤τ≤0.99,the normal-half normal stochastic frontier estimation proved to be superior to quantile regression in statistical *** parameter estimates had lower degrees of variability and correspondingly narrower confidence *** greater efficiency would naturally be conducive to making statistical *** estimated self-thinning surface using all 170 observations enveloped about 96.5% of the data points,a degree of envelopment equivalent to a regression quantile estimation with aτ of *** stochastic frontier estimation was also more objective because it did not involve the subjective selection of a particular value