Modelling tree height–diameter relationships in multi-species and multi-layered forests: A large observational study from Northeast China

Temesgen, Hailemariam; Zhang, C.H.; Zhao, Xiuhai

doi:10.1016/j.foreco.2013.07.035

Cited by 79 publications

(83 citation statements)

References 26 publications

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“…Their model was best when they used stand basal area and dominant height. Good results using the generalized model were also obtained by Schröder and Álvarez-Gonzáles (2001), who used mean diameter, Soares and Tomé (2002), who used dominant height and Temesgen and von Gadow (2004) or Temesgen et al (2014), who used the stand variables like stand basal area per hectare, number of trees per hectare and stand basal area of larger trees per hectare.…”

Section: Discussionmentioning

confidence: 97%

Comparison of linear mixed effects model and generalized model of the tree height-diameter relationship

Adamec¹

2015

J. For. Sci.

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Models of height curves generated using a linear mixed effects model and generalized model were compared. Both tested models were also compared with local models of height curves, which were fitted using a nonlinear regression. In the mixed model two versions of calibration were tested. The first calibration approach was based on measurement of heights only in trees of the mean diameter interval, while the second calibration approach was based on measurement of tree heights in three diameter intervals. Generalized model is the mathematical formulation of a system of uniform height curves, which is commonly used in the Czech Republic. The study took place at Training Forest Enterprise called Masaryk Forest at Křtiny and was carried out for Norway spruce (Picea abies [L.] Karst.). It was found that the mixed model behaves correctly only in the case of calibration based on selection of trees in three diameter intervals. Selection of a total of nine trees was confirmed as the most suitable to calibrate the model. In most of the calculated quality criteria, the mixed model achieved better results than the generalized model, even with a smaller number of measured heights. The bias of both models from the local model was very similar (0.54 m for the mixed model and 0.44 m for the generalized model). The mixed model can therefore fully replace the commonly used generalized model even with a smaller number of measured heights.

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Section: Discussionmentioning

confidence: 97%

Comparison of linear mixed effects model and generalized model of the tree height-diameter relationship

Adamec¹

2015

J. For. Sci.

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“…The development of a suitable H-D model is very important for estimating tree growth, biomass production, and carbon storage capacity, as well as for forest management and monitoring (Aishan et al, 2016;Schmidt et al, 2011;Vospernik et al, 2010). A wide variety of models have been proposed to determine the H-D relationships in different tree species, regions, and ecological zones (Feldpausch et al, 2011;Temesgen et al, 2014). Generally, the models can be divided into linear and nonlinear types, but the H-D relationship is influenced by numerous factors, particularly site quality and silvicultural treatments.…”

Section: Introductionmentioning

confidence: 99%

Generalized nonlinear height–diameter models for a <i>Cryptomeria fortunei</i> plantation in the Pingba region of Guizhou Province, China

Chai

Tan

et al. 2018

Web Ecol.

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Abstract. The relationship between height and diameter (H-D)is an important component in forest growth and yield models, and a better understanding of the relationship will improve forest monitoring, management, and biomass estimation. Sixteen nonlinear growth functions were fitted to H-D data for 1261 trees from a Cryptomeria fortunei plantation in the Pingba region of Guizhou Province, China. Of the 1261 trees, 80 % were randomly selected for model calibration, while the remaining trees were reserved for model validation. All models were evaluated and compared by means of multiple-model performance criteria. Although all 16 models showed a good fit to the dataset and each of them accounted for more than 75 % of the total variation in height, a large difference in asymptotic estimates was observed. The Chapman-Richards, Weibull, and Näslund models were recommended for C. fortunei plantations, due to their satisfactory height prediction and biological interpretability.

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“…This approach accounts for the variations in the height-diameter relationship, caused by the effect of species group-specific differences (Chapagain et al 2014;Temesgen et al 2014). The effect of species group-specific differences was best described by b 1 of a base model when it was expressed as a linear function of a species group.…”

Section: Methodsmentioning

confidence: 99%

“…The height-diameter relationship varies more significantly in the multi-layered mixed species stands than in a single species and/or a single-layered stands due to the effects of species-specific differences. These effects can be modelled using a dummy variable approach (Chapagain et al 2014;Temesgen et al 2014). When there is a data limitation, developing a species-specific heightdiameter model for each of the several species that are present in the same sample plot is not possible.…”

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confidence: 99%

Nonlinear mixed effect height-diameter model for mixed species forests in the central part of the Czech Republic

Sharma¹,

Vacek²,

Vacek³

2016

J. For. Sci.

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Various forest models that estimate volume, site index, growth and yield, biomass, and sequestrated carbon amounts are based on the information of the tree heights. The tree heights are obtained either directly from measurements or indirectly estimated using height-diameter models. We developed a nonlinear mixed effect heightdiameter model applicable to both conifer and broadleaved tree species through the introduction of dummy variable that accounts for the variations in the height-diameter relationship, caused by the effects of species-specific differences. Data from 255 sample plots located within the multi-layered mixed species forests in the central part of the Czech Republic were used. Based on the fit statistics of twelve bi-parametric models, the Näslund's model, which best fits height-diameter data of various species, was selected for expansion by incorporating height of the tallest tree per sample plot, dummy variable, and sample plot-level random effects. As compared to the ordinary least square model, the mixed effect model described significantly a larger part of the variations in the height-diameter relationship and showed a higher prediction accuracy. Large prediction errors still occurred for the mixed species stands when all measured heights other than the focused species (species used in species group-specific model) per sample plot were used to predict random effects and localize the mixed effect model. But those errors were significantly reduced when all measured heights per sample plot, regardless of species were used to predict random effects. We therefore recommend a mixed effect model with random effects predicted using all measured heights per sample plot, regardless of species, to accurately predict the missing height measurements.

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Modelling tree height–diameter relationships in multi-species and multi-layered forests: A large observational study from Northeast China

Cited by 79 publications

References 26 publications

Comparison of linear mixed effects model and generalized model of the tree height-diameter relationship

Comparison of linear mixed effects model and generalized model of the tree height-diameter relationship

Generalized nonlinear height–diameter models for a <i>Cryptomeria fortunei</i> plantation in the Pingba region of Guizhou Province, China

Nonlinear mixed effect height-diameter model for mixed species forests in the central part of the Czech Republic

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Modelling tree height–diameter relationships in multi-species and multi-layered forests: A large observational study from Northeast China

Cited by 79 publications

References 26 publications

Comparison of linear mixed effects model and generalized model of the tree height-diameter relationship

Comparison of linear mixed effects model and generalized model of the tree height-diameter relationship

Generalized nonlinear height–diameter models for a &lt;i&gt;Cryptomeria fortunei&lt;/i&gt; plantation in the Pingba region of Guizhou Province, China

Nonlinear mixed effect height-diameter model for mixed species forests in the central part of the Czech Republic

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Generalized nonlinear height–diameter models for a <i>Cryptomeria fortunei</i> plantation in the Pingba region of Guizhou Province, China