Partial Volume Prediction Through Nonlinear Mixed Modeling

Abstract

The objective of this study was to assess the prediction of partial volumes with nonlinear mixed modeling for Pinus taeda. The volume of 558 trees was measured. The four-parameter logistic model was used in its modified form for the nonlinear mixed approach and, for comparison, the 5 th degree polynomial was used. In the mixed modeling, the random effects diameter, age and place were inserted. The statistical criteria used to assess the quality of the adjustment were the Akaike Information Criterion (AIC), the Bayesian Information Criterion (BIC), standard error of the estimate (Syx) and residual graphical analysis. Among the random effects analyzed, age obtained the best adjustment. However, to predict partial volumes, it was noticed that, regardless of the analyzed portion of the trunk, the 5 th degree polynomial had the best estimates, with a mean standard error of 20.1% of the estimate compared to 51.8% of the logistic.

Ozolinši tüvemoodustaja matemaatiline analüüs ja modifitseerimise võimalused Hiiumaa männikute näitel

“…Sarnast, kuid ilma diameetri suhet ruutu võtmata on kasutatud viienda astme polünoomi mitmes teadusartiklis (Figueiredo Filho et al, 2015;Schröder et al, 2015;Nicoletti et al, 2019): et al (2019) on viidanud, et esimest korda kasutas seda valemikuju 1966. aastal Schöepfer, teistel viited puudusid. Oma doktoritöös kasutas Jouko Laasasenaho kahte alljärgnevat valemikuju (Laasasenaho, 1982):…”