%0 Journal Article
%A JIANG Li-Chun
%A LI Wan-Ting
%A WAN Dao-Yin
%T Simulation of Height-diameter Relationships for *Larix gmelinii* Based on Mixed Effects
%D 2014
%R 10.7525/j.issn.1673-5102.2014.03.010
%J Bulletin of Botanical Research
%P 343-348
%V 34
%N 3
%X The sample data was from dahurian larch (*Larix gmelinii*（Rupr.）Rupr.) plantations located in Daqingchuan and Yongcui Forest Farms, Dailing Forest Bureau in Heilongjiang Province. Height-diameter model with stand variables was developed based on sample data from 41 plots and Richards’s model. A mixed-effect modeling approach was applied in fitting Richards’s model *y*_{ij}=(*β*_{1}+*b*_{i1})(1-*e*^{-(β2+bi2)xij})^{(β3+bi3)}+*ε*_{ij} and the same model with stand variables *y*_{ij}=(*β*_{1}+*b*_{i}_{1})(*D*_{q})^{(β2+bi2)}(1-*e*^{-(β3+bi3)(N(β4+bi4))xij})+*ε*_{ij}. Results showed that Richards model with inclusion of random parameters *b*_{1}, *b*_{2} was the best when fitting mixed-effects model of Richards; Inclusion of random parameters *b*_{2}, *b*_{4} was the best when fitting Richards model with stand variables. Model validation indicated that mixed model showed lower error than fixed-effects model when randomly selected independent samples. However, using calibration with randomly selected four trees, mixed model reduced the bias and RMSE of the prediction by almost 71.8% and 42.1%, respectively.
%U https://bbr.nefu.edu.cn/EN/10.7525/j.issn.1673-5102.2014.03.010