Nonlinear height–diameter models for three woody, understory species in a temperate oak forest in Hungary

Misik, Tamás; Antal, Károly; Kárász, Imre; Tóthmérész, Béla

doi:10.1139/cjfr-2015-0511

Cited by 5 publications

(7 citation statements)

References 19 publications

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“…For example, Calegario, et al (2005) developed a non-linear mixedeff ects model to represent the height growth pattern of eucalypts clonal stands in Brazil and described the non-linear modeling approach as fl exible, precise, and accurate. Also, Misik, et al (2016) tested 10 nonlinear height-diameter functions for dominant woody species in a temperate oak forest in Hungary, and Zhang (1997) fi tted six non-linear growth functions to tree height-diameter data of six conifer species in the United States.…”

Section: Discussionmentioning

confidence: 99%

INITIAL GROWTH PERFORMANCE OF VALUABLE TIMBER SPECIES IN SOUTHERN BRAZIL: Araucaria Angustifolia, Balfourodendron Riedelianum, AND Parapiptadenia Rígida

et al. 2019

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The initial growth of three Brazilian native timber species in the city of Dois Vizinhos-PR, Brazil, was described - Araucaria angustifolia, Balfourodendron riedelianum, and Parapiptadenia rigida, using four non-linear mathematical models (Gompertz, Logistic, Logistic 4P, and Chapman-Richards). In the first 4 years after planting, information about collar diameter (mm), total height (m), crown height (m), and crown diameter (m) was obtained twice a year for 12 individuals per species. Crown area (m²) and crown volume (m³) were estimated. The growth in these four variables (collar diameter, total height, crown area, and crown volume) was projected using the models, and their fitting was assessed based on the values of the Akaike Information Criterion, the Bayesian Information Criterion, the standard error of estimate, and the coefficient of determination. The models generated excellent statistics for all parameters in all variables, with better statistics for collar diameter (coefficient of determination higher than 0.65 and standard error lower than 30%) and total height (coefficients of determination higher than 0.72 and standard error lower than 37%). Considering the three species, Parapiptadenia rigida showed the fastest growth in all variables (median of 70.97 mm for collar diameter, median of 4.475 m for total height, median of 10.35 m² for crown area, and median of 15.30 m³ for crown volume at 48 months). Longer monitoring periods in this and other experiments are recommended to characterize the growth of these three Brazilian native timber species to adequately describe their performance in timber and forest restoration projects.

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Section: Discussionmentioning

confidence: 99%

INITIAL GROWTH PERFORMANCE OF VALUABLE TIMBER SPECIES IN SOUTHERN BRAZIL: Araucaria Angustifolia, Balfourodendron Riedelianum, AND Parapiptadenia Rígida

et al. 2019

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“…International Journal of Forestry Research 5 [52,64]). Zhang (1997) selected six models for evaluating H-D relationship and found that the Gompertz model underestimates tree heights for larger sizes trees (D>100 cm).…”

Section: Discussionmentioning

confidence: 99%

“…H-D relationship models are often developed based on sampling data from permanent sample plots that are monitored for a relatively extended period [59,64,69,70]. Studies that employed longitudinal data along with other plot-level covariates in nonlinear mixed H-D relationship models show improved model performance compared to ordinary nonlinear least square models [18,52,59,71,72]. Although the inclusion of stand variables may improve the prediction power of the model, this often requires greater sampling efforts especially when data collection involves an 6…”

Section: Discussionmentioning

confidence: 99%

“…Information on species such as H and D were collected from 10 m × 10 m and 5 m × 5 m plots. The combined dataset size (n = 179) is smaller compared to other studies (e.g., [12,13,18,48,49]), but it can be used to construct H-D relationship models [50][51][52]. The combined dataset was split randomly into fitting (80%) and validation (20%) using R [53].…”

Section: Data Collection and Processingmentioning

confidence: 99%

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Height-Diameter Modeling ofCinnamomum tamalaGrown in Natural Forest in Mid-Hill of Nepal

Subedi

Oli²,

Shrestha

et al. 2018

International Journal of Forestry Research

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Tree height (H) and diameter at breast height (D) are key variables to calculate tree volume and biomass. We developed a height-diameter (H-D) model forCinnamomum tamalaby evaluating 18 nonlinear models. Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), Root Mean Square Error (RMSE), mean bias, Mean Absolute Error (MAE), graphical appearance, and biological logic were the criteria used to evaluate the predictive performance of the models. Gompertz model (M14) performed the best for predicting the total height ofC. tamalatrees with the least RMSE (1.742 m), mean bias (0.012 m), and MAE (1.342 m) and satisfied model assumptions and biological logic. Validation data ranked the Gompertz model as the best model with RMSE (1.546 m), mean bias (-0.106 m), and MAE (1.149 m). Despite the consistent performance of the Gompertz model, it tended to underestimate the height prediction for taller (dominant crown class) and larger trees. Further work on refitting and validation of the proposed model with data from a larger geographic area, wider-ranging sites, and stand conditions is recommended.

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“…The Pearl and Reed (1920) model, denoted as PR model, was first introduced for predicting population growth in the US. It has been adopted in forestry to predict tree height for different species, such as oaks (Misik et al, 2016) and subtropical trees (Yang et al, 2022). Similar to Yang et al (2022), the competition index was added in the exponent with DBH in the model.…”

Section: Parametric Modelmentioning

confidence: 99%

Evaluation of regression methods and competition indices in characterizing height-diameter relationships for temperate and pantropical tree species

Jha,

Yang,

Brandeis

et al. 2023

Front. For. Glob. Change

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Height-diameter relationship models, denoted as H-D models, have important applications in sustainable forest management which include studying the vertical structure of a forest stand, understanding the habitat heterogeneity for wildlife niches, analyzing the growth rate pattern for making decisions regarding silvicultural treatments. Compared to monocultures, characterizing allometric relationships for uneven-aged, mixed-species forests, especially tropical forests, is more challenging and has historically received less attention. Modeling how the competitive interactions between trees of varying sizes and multiple species affects these relationships adds a high degree of complexity. In this study, five regression methods and five distance-independent competition indices were evaluated for temperate and pantropical tree species in different physiographic regions. A total of 163,922 individual tree measurements from the US Department of Agriculture, Forest Inventory and Analysis (FIA) database were used in analyses, which cover Appalachian plateau (AP) and Ridge and Valley (VR) in the southeastern US, as well as Caribbean (CAR) and Pacific (PAC) islands. Results indicated that the generalized additive model (GAM) and the Pearl and Reed model provided more accurate predictions than other regression methods examined. Models with competition indices had a varying level of predictability, while diameter ratio, cumulative distribution function and partitioned stand density index (PSDI) were found to improve the prediction accuracy for AP, VR and CAR. The results of this work provide additional insights on modeling H-D relationships for a variety of species in temperate and pantropical forests.

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Nonlinear height–diameter models for three woody, understory species in a temperate oak forest in Hungary

Cited by 5 publications

References 19 publications

INITIAL GROWTH PERFORMANCE OF VALUABLE TIMBER SPECIES IN SOUTHERN BRAZIL: Araucaria Angustifolia, Balfourodendron Riedelianum, AND Parapiptadenia Rígida

INITIAL GROWTH PERFORMANCE OF VALUABLE TIMBER SPECIES IN SOUTHERN BRAZIL: Araucaria Angustifolia, Balfourodendron Riedelianum, AND Parapiptadenia Rígida

Height-Diameter Modeling ofCinnamomum tamalaGrown in Natural Forest in Mid-Hill of Nepal

Evaluation of regression methods and competition indices in characterizing height-diameter relationships for temperate and pantropical tree species

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