Critical analyses when modeling tree biomass to ensure additivity of its components

Alexandre Behling, Sylvio Péllico Netto, Carlos Roberto Sanquetta, Ana Paula D. Corte, David L.R. Affleck, Aurélio L. Rodrigues, Marcos Behling

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


It is presented the theme additivity of biomass of tree components. To evaluate and discuss this context, experimental information collected in forests of Acacia mearnsii De Wild. was used. Equations for components (stem and crown) and total biomass were fitted by means of two procedures: 1) generalized nonlinear least squares and 2) weighted-nonlinear seemingly unrelated regressions. Analyzing the performance of the estimators, it can be concluded that the two tested procedures are equivalent. On the other hand, this conclusion differs when evaluated the consistency and efficiency of the estimators. Fitting equations for the components and for the total biomass by an independent way is not realistic, because from a biological point of view the estimates of biomass are inconsistent, i.e., are not additive. The biomass estimates of the components and of the total, resulting from equations adjusted by means of systems of equations, provided narrower confidence intervals in relation to the equations adjusted independently, and is therefore more efficient. The second procedure presents better biological properties and statistics to estimate allometric equations for biomass of the components and for the total when compared with the independent estimation, thus it should be the method to be used.

Original languageEnglish
Pages (from-to)1759-1774
Number of pages16
JournalAnais da Academia Brasileira de Ciencias
Issue number2
StatePublished - Apr 1 2018


  • Biological consistency
  • Biomass
  • Non-linear regression
  • System of equations


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