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Variable-top stem biomass equations at tree-level generated by a simultaneous density-integral system for second growth forests of roble, raulí, and coigüe in Chile

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Abstract

Variable-top stem biomass models at the tree level for second growth forests of roble (Nothofagus obliqua), raulí (Nothofagus alpina), and coigüe (Nothofagus dombeyi) were fitted by a simultaneous density-integral system, which combines a stem taper model and a wood basic density model. For each model, an autoregressive structure of order 2 and a power equation of residual variance were incorporated to reduce residual autocorrelation and heteroscedasticity, respectively. By using dummy variables in the regression analysis, zonal effects on the parameters in the variable-top stem biomass equations were detected in roble. Consequently, equations for clusters of zones were obtained. These equations presented significant parameters and a high precision in both fitting and validation processes (i.e., CV < 11.5% and CVp < 11.9%, respectively), demonstrating that they are unbiased. The advantage of these types of functions is that they provide estimates of volume and biomass of sections of the stem, defined between any two points of the stem in the three species. Thus, depending on the final use of the wood and the dimensions of the tree, a stem fraction can be quantified in units of volume and the remaining fraction in units of weight.

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Acknowledgements

Authors thank the Forest Company MASISA S.A., for granting access to farms of its assets to collect data.

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Authors and Affiliations

  1. Departamento Manejo de Bosques y Medio Ambiente, Facultad de Ciencias Forestales, Universidad de Concepción, Victoria 631, Barrio Universitario, 4070386, Concepción, Chile

    Carlos Valenzuela, Eduardo Acuña & Jorge Cancino

  2. Instituto de Bosques y Sociedad, Facultad de Ciencias Forestales y Recursos Naturales, Universidad Austral de Chile, Campus Isla Teja, 5110566, Valdivia, Chile

    Alicia Ortega

  3. Campo Experimental Valle del Guadiana, Instituto Nacional de Investigaciones Forestales Agrícolas y Pecuarias (INIFAP), km 4.5 Carretera Durango-Mezquital, 34170, Durango, DGO, Mexico

    Gerónimo Quiñonez-Barraza

  4. Instituto de Silvicultura e Industria de la Madera, Universidad de Juárez del Estado de Durango, 34120, Durango, Mexico

    José Corral-Rivas

Authors
  1. Carlos Valenzuela
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  2. Eduardo Acuña
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  3. Alicia Ortega
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  4. Gerónimo Quiñonez-Barraza
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  5. José Corral-Rivas
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  6. Jorge Cancino
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Contributions

Carlos Valenzuela and Gerónimo Quiñonez-Barraza are co-authors.

Corresponding author

Correspondence to Carlos Valenzuela.

Additional information

Project funding: The work was financial supported by the the Corporación Nacional Forestal (CONAF) (Project 025/2012 “Desarrollo de herramientas de cuantificación biométrica generalizadas para el manejo y uso integral sustentable de renovales de Nothofagus spp.”) III Concurso del Fondo de Investigación del Bosque Nativo.

The online version is available at http://www.springerlink.com

Corresponding editor: Tao Xu.

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Valenzuela, C., Acuña, E., Ortega, A. et al. Variable-top stem biomass equations at tree-level generated by a simultaneous density-integral system for second growth forests of roble, raulí, and coigüe in Chile. J. For. Res. 30, 993–1010 (2019). https://doi.org/10.1007/s11676-018-0630-9

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  • DOI: https://doi.org/10.1007/s11676-018-0630-9

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