Research Article | | Peer-Reviewed

Improving the Efficiency of Allometric Equations Using Artificial Neural Networks in Coppicing Stands of Brant's Oak

Received: 12 August 2025     Accepted: 26 August 2025     Published: 3 December 2025
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Abstract

Estimation of forest trees biomass for various purposes is fundamental and substantia l. One method of estimating biomass uses allometric equations that limit the normality of variables and the homogeneity of variances. In this study, artificial neural networks were used as an alternative method to increase biomass estimation accuracy. Fifty three sprout chumps of Brant's Oak (Quercus brantii Lindl) were randomly selected from the Melah Shabanan of Khorramabad in Iran. Diameter at knee height, diameter at breast height, crown diameter, number of sprouts, and height of trees were measured. To calculate the dry weight of the biomass, adisk3-5cm from the trunk and crown was separated and weighed, and with the ratio of dry weight to fresh weight, the dry weight of the crown, trunk, and aboveground biomass of the trees was calculated. Modeling the relationships between variables with linear and nonlinear regression equations and Multilayer Perceptron and Radial Basis Function neural networks showed that both neural networks could increase the coefficient of determination to R2=0.98 and R2=0.96 and reduce the error to RMSE%=11.6 and RMSE%=16.9 and thus the neural network models can increase the quality forest biomass estimates are compared with allometric equations.

Published in American Journal of Neural Networks and Applications (Volume 11, Issue 2)
DOI 10.11648/j.ajnna.20251102.14
Page(s) 66-87
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2025. Published by Science Publishing Group

Keywords

MLP and RBF Network, Linear and Nonlinear Regression Equations, Aboveground Biomass

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Cite This Article
  • APA Style

    Fallah, S., Soosani, J., Naghavi, H., Mofrad, M. Y. (2025). Improving the Efficiency of Allometric Equations Using Artificial Neural Networks in Coppicing Stands of Brant's Oak. American Journal of Neural Networks and Applications, 11(2), 66-87. https://doi.org/10.11648/j.ajnna.20251102.14

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    ACS Style

    Fallah, S.; Soosani, J.; Naghavi, H.; Mofrad, M. Y. Improving the Efficiency of Allometric Equations Using Artificial Neural Networks in Coppicing Stands of Brant's Oak. Am. J. Neural Netw. Appl. 2025, 11(2), 66-87. doi: 10.11648/j.ajnna.20251102.14

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    AMA Style

    Fallah S, Soosani J, Naghavi H, Mofrad MY. Improving the Efficiency of Allometric Equations Using Artificial Neural Networks in Coppicing Stands of Brant's Oak. Am J Neural Netw Appl. 2025;11(2):66-87. doi: 10.11648/j.ajnna.20251102.14

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  • @article{10.11648/j.ajnna.20251102.14,
      author = {Saman Fallah and Javad Soosani and Hamed Naghavi and Mohsen Yousofvand Mofrad},
      title = {Improving the Efficiency of Allometric Equations Using Artificial Neural Networks in Coppicing Stands of Brant's Oak
    },
      journal = {American Journal of Neural Networks and Applications},
      volume = {11},
      number = {2},
      pages = {66-87},
      doi = {10.11648/j.ajnna.20251102.14},
      url = {https://doi.org/10.11648/j.ajnna.20251102.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajnna.20251102.14},
      abstract = {Estimation of forest trees biomass for various purposes is fundamental and substantia l. One method of estimating biomass uses allometric equations that limit the normality of variables and the homogeneity of variances. In this study, artificial neural networks were used as an alternative method to increase biomass estimation accuracy. Fifty three sprout chumps of Brant's Oak (Quercus brantii Lindl) were randomly selected from the Melah Shabanan of Khorramabad in Iran. Diameter at knee height, diameter at breast height, crown diameter, number of  sprouts, and height of trees were measured. To calculate the dry weight of the biomass, adisk3-5cm from the trunk and crown was separated and weighed, and with the ratio of dry weight to fresh weight, the dry weight of the crown, trunk, and aboveground biomass of the trees was calculated. Modeling the relationships between variables with linear and nonlinear regression equations and Multilayer Perceptron and Radial Basis Function neural networks showed that both neural networks could increase the coefficient of determination to R2=0.98 and R2=0.96 and reduce the error to RMSE%=11.6 and RMSE%=16.9 and thus the neural network models can increase the quality forest biomass estimates are compared with allometric equations.
    },
     year = {2025}
    }
    

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  • TY  - JOUR
    T1  - Improving the Efficiency of Allometric Equations Using Artificial Neural Networks in Coppicing Stands of Brant's Oak
    
    AU  - Saman Fallah
    AU  - Javad Soosani
    AU  - Hamed Naghavi
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    DO  - 10.11648/j.ajnna.20251102.14
    T2  - American Journal of Neural Networks and Applications
    JF  - American Journal of Neural Networks and Applications
    JO  - American Journal of Neural Networks and Applications
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    EP  - 87
    PB  - Science Publishing Group
    SN  - 2469-7419
    UR  - https://doi.org/10.11648/j.ajnna.20251102.14
    AB  - Estimation of forest trees biomass for various purposes is fundamental and substantia l. One method of estimating biomass uses allometric equations that limit the normality of variables and the homogeneity of variances. In this study, artificial neural networks were used as an alternative method to increase biomass estimation accuracy. Fifty three sprout chumps of Brant's Oak (Quercus brantii Lindl) were randomly selected from the Melah Shabanan of Khorramabad in Iran. Diameter at knee height, diameter at breast height, crown diameter, number of  sprouts, and height of trees were measured. To calculate the dry weight of the biomass, adisk3-5cm from the trunk and crown was separated and weighed, and with the ratio of dry weight to fresh weight, the dry weight of the crown, trunk, and aboveground biomass of the trees was calculated. Modeling the relationships between variables with linear and nonlinear regression equations and Multilayer Perceptron and Radial Basis Function neural networks showed that both neural networks could increase the coefficient of determination to R2=0.98 and R2=0.96 and reduce the error to RMSE%=11.6 and RMSE%=16.9 and thus the neural network models can increase the quality forest biomass estimates are compared with allometric equations.
    
    VL  - 11
    IS  - 2
    ER  - 

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Author Information
  • Forestry Agriculture and Natural Resources Faculty, Lorestan University, Khorramabad, Iran

  • Forestry Agriculture and Natural Resources Faculty, Lorestan University, Khorramabad, Iran

  • Forestry Agriculture and Natural Resources Faculty, Lorestan University, Khorramabad, Iran

  • Forestry Agriculture and Natural Resources Faculty, Lorestan University, Khorramabad, Iran

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