Evaluation of nonlinear equations for predicting diameter from tree height
Abstract: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
Document Type: Research Article
Affiliations: 1: Forest Science Centre, New South Wales Department of Primary Industries, P.O. Box 100, Beecroft, NSW 2119, Australia. 2: Department of Forest and Ecosystem Science, University of Melbourne, Melbourne, VIC 3052, Australia. 3: School of Information Science and Technology, Beijing Forestry University, Beijing 100083, China. 4: Institute of Forest Resources Information Techniques, Chinese Academy of Forestry, Beijing 100091, China.
Publication date: April 12, 2012
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