Abstract:
The relationship between tree height and diameter is an important element in growth and yield
models, in carbon stock estimation and timber volume models, and in the description of stand
dynamics.In this paper considered18 functional models and evaluated the performance that predict total
tree height from diameter at breast height of agarwood. The models were applied to A.malaccensisLamk
(Agarwood) which is economically important tree species planted in some potential forest areas of
Bangladesh.A total of 5,866 tree heights and corresponding diameters at breast heights were extracted
from many forest areas in Sylhet, Chittagong, Cox's Bazar and Chittagong Hill Tracts (Rangamati) forest
division. The model goodness of fit values were evaluated in terms of adjusted coefficient of
determination (R2), root mean squared error (RMSE), Akaike’s information criterion (AIC),Durbin-
Watson statistic value,homogeneity of the residuals and significance of the regression parameters. The
results of the study indicated that the height-diameter relationship can best be described by non-linear
models. The best three models selected for the species with ranking in terms of goodness of fit. The
Gompertz𝐻 = 17.0360 × exp(−2.3614 × exp(−0.1009 × 𝐷)); Parabolic𝐻 = 0.4561 + 0.7735 × 𝐷 −
0.0089 × 𝐷2and Logistic
(1 6.1156 )
15.2424
0.1674 D e
H
with R2=0.91 were height-diameter models
performed better than other models.