PDF(1986 KB)
Efficient prediction model for crown ratio of Larix olgensis plantations based on nonlinear mixed-effects model
Liu Shuaidong, Miao Zheng, Hao Yuanshuo, Dong Lihu
Journal of Nanjing Forestry University (Natural Sciences Edition) ›› 2026, Vol. 50 ›› Issue (5) : 152-160.
PDF(1986 KB)
PDF(1986 KB)
Efficient prediction model for crown ratio of Larix olgensis plantations based on nonlinear mixed-effects model
【Objective】Crown ratio (CR) is a vital indicator of tree vigor and a fundamental parameter for stand growth prediction. However, high-precision CR prediction models specifically for Larix olgensis plantations remain scarce, and the key driving factors are not yet fully understood. Furthermore, existing models often rely on variables such as total tree height and height to crown base, which are costly and difficult to measure. Therefore, this study aimed to develop a nonlinear mixed-effects (NLME) crown ratio model for L. olgensis plantations using easily obtainable variables and to determine an efficient calibration strategy for prediction to support precision forest management. 【Method】The study utilized observation data from 463 sample plots of L. olgensis in the Dongjingcheng Forestry Bureau, Linkou Forestry Bureau, and Mengjiagang Forest Farm in Heilongjiang Province. A Richards function was selected as the basic model. Stepwise regression was employed to incorporate stand mean dominant height, stand basal area per hectare, and a distance-dependent competition index (Ic5) as covariates to construct the NLME model. Leave-one-out cross-validation and random sampling calibration schemes were employed to analyze the effects of different calibration sample sizes (ranging from 1 to 20 trees) on model prediction accuracy. 【Result】The developed NLME model demonstrated good goodness-of-fit, with an adjusted coefficient of determination (
crown ratio / Larix olgensis / nonlinear mixed-effects model / sampling calibration
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