文献类型：期刊文献

英文题名：Evaluation of nonlinear equations for predicting diameter from tree height

作者：Bi, Huiquan[1,2] Fox, Julian C.[2] Li, Yun[3] Lei, Yuancai[4] Pang, Yong[4]

第一作者：Bi, Huiquan

通信作者：Bi, HQ[1]

机构：[1]New S Wales Dept Primary Ind, Forest Sci Ctr, Beecroft, NSW 2119, Australia;[2]Univ Melbourne, Dept Forest & Ecosyst Sci, Parkville, Vic 3052, Australia;[3]Beijing Forestry Univ, Sch Informat Sci & Technol, Beijing 100083, Peoples R China;[4]Chinese Acad Forestry, Inst Forest Resources Informat Tech, Beijing 100091, Peoples R China

年份：2012

卷号：42

期号：4

起止页码：789-806

外文期刊名：CANADIAN JOURNAL OF FOREST RESEARCH

收录：;EI(收录号：20121414918305);Scopus(收录号：2-s2.0-84859017569);WOS:【SCI-EXPANDED(收录号:WOS:000302226700014)】；

语种：英文

外文关键词：Exponential functions - Forecasting - Forestry - Function evaluation - Laser applications - Petroleum reservoir evaluation - Weibull distribution

摘要：With the emergence and advancement of airborne laser scanning technology over the past decade, individual tree height can be easily measured over a large area of forests with a comparable degree of accuracy to conventional ground-based methods. In laser scanning based large-scale forest inventories, the need to predict diameter from remotely sensed tree height calls for a systematic evaluation of equation forms as the first step towards a well-developed approach to developing diameter-height equations. This study evaluated more than 30 height-diameter equations in the forest biometrics literature to select candidates for deriving equation forms for diameter-height equations. The evaluation was based on four criteria: (i) the height-diameter function is inversable; (ii) the inverse function is continuous and monotonically increasing over a specified working range of total tree height; (iii) diameter at breast height is equal to zero when tree height equals breast height in the inverse function; and preferably, (iv) the inverse function has an inflection point that is consistent with biological expectations. A total of 12 candidate equation forms were derived, which included five two-parameter and seven three-parameter equations. The estimation properties and predictive performance of these 12 equation forms were further evaluated and compared through repeated sampling and fitting using data from 3581 trees destructively sampled for taper measurements from Pinus radiata D. Don plantations across New South Wales, Australia. Three equation forms, including the constrained Richards, Weibull, and the combined power and exponential function, displayed superior prediction accuracy and estimation properties and so were recommended as the primary equation forms for developing diameter-height equations. The remaining equation forms were marred by either lower prediction accuracy or poorer estimation properties or both. The three recommended equation forms should only serve as basic deterministic specifications upon which other tree and stand variables should be incorporated as predictors to further improve their predictive performance.