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Compatible taper and volume systems for Larix olgensis and Larix kaempferi in northeast China

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Abstract

Accurate estimation of tree stem form and merchantable volume is an important prerequisite for forest management and economic evaluation. A system of compatible taper-volume equations was constructed for estimating the upper stem diameter and merchantable volume of different larch species in northeast China using Larix olgensis (LO) and Larix kaempferi (LK) as examples. Five common compatible taper-volume systems were evaluated by using the diameter, height, and cumulative volume data of 262 LO and 86 LK trees. The seemingly unrelated regression (SUR) was used for parameter estimation of the nonlinear simultaneous equations, and the power function was applied to eliminate the heteroscedasticity of the volume equations. Subsequently, the tree species were used as dummy variables to construct generalized equations suitable for the two species. Finally, the adjusted coefficient of determination (\({R}_{a}^{2}\)), root mean square error (RMSE), Akaike information criterion (AIC), RMSE%, condition number (CN), mean absolute bias (MAB) and mean percentage of bias (MPB) were used to evaluate the performance of the model. The segmented model outperformed the simple model, and in particular, the model presented by Fang (FS 46:1–12, 2000) exhibited the best performance in predicting diameter and volume. The Fang (FS 46:1–12, 2000) model explained the difference in stem form between both larch species, that is, LO had a higher upper inflection point and a lower inflection point than LK. The dummy variable model provides an effective approach to accurately predict stem diameter and volume variables for both species. The generalized equation can be used for simultaneous estimation of stem taper and merchantable volume for LO and LK in northeast China. Under the same conditions, LO has longer middle segments and better stem form than LK.

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Acknowledgements

We would like to thank Dongsheng Chen’s team at the State Forestry Administration Key Laboratory for Forest Tree Breeding, Research Institute of Forestry, Chinese Academy of Forestry, for providing data support. We also thank Mengjiagang Forest Farm and its staff for their help in the field activities.

Funding

This research was funded by the Joint Funds for Regional Innovation and Development of the National Natural Science Foundation of China (Grant No. U21A20244).

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Authors and Affiliations

  1. Key Laboratory of Sustainable Forest Ecosystem Management-Ministry of Education, School of Forestry, Northeast Forestry University, Harbin, 150040, China

    Dandan Li, Weiwei Jia, Haotian Guo, Yuman Sun & Fan Wang

Authors
  1. Dandan Li
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  2. Weiwei Jia
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  3. Haotian Guo
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  4. Yuman Sun
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  5. Fan Wang
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Contributions

Conceptualization contributed by DL, WJ; methodology contributed by DL, HG; formal analysis and investigation contributed by DL, HG, YS, FW; writing—original draft preparation contributed by DL; writing—review and editing contributed by DL, WJ, YS; funding acquisition contributed by WJ; supervision contributed by WJ.

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Correspondence to Weiwei Jia.

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Communicated by Tianjian Cao.

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Li, D., Jia, W., Guo, H. et al. Compatible taper and volume systems for Larix olgensis and Larix kaempferi in northeast China. Eur J Forest Res 143, 65–79 (2024). https://doi.org/10.1007/s10342-023-01611-7

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