Modelling a system of nonlinear additive crown width models applying seemingly unrelated regression for Prince Rupprecht larch in northern China

Modelling a system of nonlinear additive crown width models applying seemingly unrelated regression for Prince Rupprecht larch in northern China
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对中国北方鲁普雷希特王子落叶松应用看似不相关的回归进行非线性加性树冠宽度模型系统建模

DOI:
10.1016/j.foreco.2016.11.038
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发表时间:
2017-02-15
影响因子:
3.7
通讯作者:
Tang, Shouzheng
Tang, Shouzheng
中科院分区:
农林科学1区
文献类型:
--
作者:
Fu, Liyong;Sharma, Ram P.;Tang, Shouzheng

文献摘要

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Crown width (CW) is an arithmetic mean of two diameters perpendicular to each other and obtained from measurements of four crown radii (crown components) consisting of east, west, south and north crown width. CW is one of the important tree variables in forest growth and yield modelling, and forest management. An accurate approach of obtaining crown measurements can lead to a high accuracy of prediction. Since the additivity properties of CW components and their inherent correlations have not been addressed so far, in this study we introduced a nonlinear seemingly unrelated regression (NSUR) emphasizing the additivity and inherent correlations to develop a system of CW models. We used a large dataset from a total of 3369 Prince Rupprecht larch (Larix principis-rupprechtii Mayr.) trees within 116 permanent sample plots allocated in northern China. The results from NSUR were compared with those from two commonly used additive approaches: adjustment in proportion (AP) and ordinary least square with separating regression (OLSSR). In addition, regional effect on CW components was introduced into the CW model system through an indicator-variable modelling approach. The results showed that (1) the effect of region on CW components was highly significant; and (2) NSUR, AP and OLSSR well ensured the additivity property of a system of the CW models. It was also found that overall the prediction accuracy of NSUR was much higher than those of AP and OLSSR. This study focuses more on the development of methodology that can be applied to develop a system of CW models for other tree species. (C) 2016 Elsevier B.V. All rights reserved.