Developing a height-diameter relationship model with mixed random effects for Larix principis-rupprechtii natural secondary forests

DUAN Guangshuang,LI Xuedong, FENG Yan, FU Liyong

JOURNAL OF NANJING FORESTRY UNIVERSITY ›› 2018, Vol. 42 ›› Issue (02) : 163-169.

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南京林业大学学报（自然科学版）
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JOURNAL OF NANJING FORESTRY UNIVERSITY ›› 2018, Vol. 42 ›› Issue (02) : 163-169. DOI: 10.3969/j.issn.1000-2006.201703014

Developing a height-diameter relationship model with mixed random effects for Larix principis-rupprechtii natural secondary forests

  • DUAN Guangshuang1,2,LI Xuedong3, FENG Yan4, FU Liyong1*
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Abstract

【Objective】This study aimed to develop a height-diameter relationship model of Larix principis-rupprechtii natural secondary forests as technical support for sustainable forest management.【Method】Based on individual tree data for 116 plots of Larix principis-rupprechtii natural secondary forests, an optimal basic model was selected from 11 candidate models with biological significance. Taking into account the disturbance from regions and sample plots, a nonlinear mixed-effects model with dummy variables for height-diameter relationships based on 94 plots was constructed, and validation was implemented on 22 surplus plots.【Result】The optimal model of 11 alternative models was fitted to the total data with alogistic equation, and the coefficient of determination and root mean square error were 0.765 3, 3.279 4, respectively. After adjusting the precision of the mixed-effects model with dummy variables and random effects, established with the modeling data, the coefficient of determination and root mean square error were 0.915 2, 1.892 2, respectively, which is a distinctly improvment compared with the basic model. The prediction effects of this model were perfect with the use of the validation data.【Conclusion】The disturbance from plot level random effects significantly influenced the height-diameter relationship.The prediction accuracy of the height-diameter relationship model with these random effects was improved obviously. The prediction of tree height of other plots in Larix principis-rupprechtii natural secondary forests can be implemented with this nonlinear mixed-effects model with dummy variables.

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DUAN Guangshuang,LI Xuedong, FENG Yan, FU Liyong. Developing a height-diameter relationship model with mixed random effects for Larix principis-rupprechtii natural secondary forests[J]. JOURNAL OF NANJING FORESTRY UNIVERSITY. 2018, 42(02): 163-169 https://doi.org/10.3969/j.issn.1000-2006.201703014

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