iForest - Biogeosciences and Forestry


Compatible taper-volume models of Quercus variabilis Blume forests in north China

Conghui Zheng (1-2), Yuzhong Wang (1), Liming Jia (2), Euan Gordon Mason (3)   , Songpo We (2), Caowen Sun (2), Jie Duan (2)

iForest - Biogeosciences and Forestry, Volume 10, Issue 3, Pages 567-575 (2017)
doi: https://doi.org/10.3832/ifor2114-010
Published: May 08, 2017 - Copyright © 2017 SISEF

Research Articles

Compatible taper and volume models were created for Quercus variabilis Blume (cork oak) forests in North China. 174 trees were felled to obtain stem analysis data. Linear mixed effects analyses were used in modelling. Firstly, a bark thickness model was built. Then diameter at breast height over bark (DBHob) for the inner layers of the 174 trees could be calculated, based on which a total volume model was built. The estimated volume and a specific parameter restriction were then substituted into a polynomial taper model, finally the taper model was fitted and compatible taper and volume models were obtained. Four sets of models based on different data sets were separately built and compared through coefficients of determination (R2), root mean square error (RMSE), value of Akaike’s information criterion (AIC), residuals plots and histograms of residuals. Models based on data of the analyzed stems without ramicorns and simultaneously with relative diameter under 1.5 were chosen as the most precise. Further testing of the chosen models using the jackknife method for the bark thickness and total volume models and a validation data set for the taper model verified that those models can be used to predict bark thickness, diameter at a specific point along the stem, merchantable volume and total stem volume of cork oak forests in North China within specific tree diameter at breast height and height ranges.


Quercus variabilis Blume, Dummy Variable, Box-Cox Transformation, Linear Mixed Effects Models, Compatible Taper-Volume Model

Authors’ address

Conghui Zheng
Yuzhong Wang
Hebei Engineering and Technology Center of Forest Improved Variety, Hebei Academy of Forestry, Shijiazhuang 050000 (China)
Conghui Zheng
Liming Jia
Songpo We
Caowen Sun
Jie Duan
Ministry of Education Key Laboratory of Silviculture and Conservation, Beijing Forestry University, Beijing 100083 (China)
Euan Gordon Mason
School of Forestry, University of Canterbury, Christchurch 8140 (New Zealand)

Corresponding author

Euan Gordon Mason


Zheng C, Wang Y, Jia L, Mason EG, We S, Sun C, Duan J (2017). Compatible taper-volume models of Quercus variabilis Blume forests in north China. iForest 10: 567-575. - doi: 10.3832/ifor2114-010

Academic Editor

Rupert Seidl

Paper history

Received: May 16, 2016
Accepted: Feb 22, 2017

First online: May 08, 2017
Publication Date: Jun 30, 2017
Publication Time: 2.50 months

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