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Bulletin of Botanical Research ›› 2014, Vol. 34 ›› Issue (3): 343-348.doi: 10.7525/j.issn.1673-5102.2014.03.010

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Simulation of Height-diameter Relationships for Larix gmelinii Based on Mixed Effects

LI Wan-Ting;JIANG Li-Chun;WAN Dao-Yin   

  1. 1.College of Forestry,Northeast Forestry University,Harbin 150040;2.Dailing Forestry Research Institute,Yichun 153106
  • Received:1900-01-01 Revised:1900-01-01 Online:2014-05-20 Published:2014-05-20
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Abstract: 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 yij=(β1+bi1)(1-e-(β2+bi2)xij)(β3+bi3)+εij and the same model with stand variables yij=(β1+bi1)(Dq)(β2+bi2)(1-e-(β3+bi3)(N(β4+bi4))xij)+εij. Results showed that Richards model with inclusion of random parameters b1, b2 was the best when fitting mixed-effects model of Richards; Inclusion of random parameters b2, b4 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.

Key words: height-diameter model, mixed effects, plot effect, Larix gmelinii

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