Relationship between the aboveground height, total height, diameter at breast height and the parameter b0.

<p>Relationship between the aboveground height, total height, diameter at breast height and the parameter b0.</p

List of 21 candidate taper models, which were classified according to the number of parameters (NP) developed in this study.

<p>List of 21 candidate taper models, which were classified according to the number of parameters (NP) developed in this study.</p

Estimates of two fixed regression coefficients and the random parameter of the mixed-effect model based on the modified taper model.

<p>Estimates of two fixed regression coefficients and the random parameter of the mixed-effect model based on the modified taper model.</p

4 sites of Fujian province, Southeast China, where 41 trees were sampled.

<p>4 sites of Fujian province, Southeast China, where 41 trees were sampled.</p

Summary of tree attributes for the <i>Cunninghamia lanceolate</i>.

<p>Summary of tree attributes for the <i>Cunninghamia lanceolate</i>.</p

Fitting statistics for 5 selected models for detailed analyses.

<p>Note: ΔAIC and ΔBIC represent the difference in AIC or BIC as compared with the best equation. The best model is the one presenting the lowest ΔAIC or ΔBIC.</p><p>Fitting statistics for 5 selected models for detailed analyses.</p

Predictions with the Xia’s volume equations and strategie 7 vs. the measured stem volume [49].

<p>Predictions with the Xia’s volume equations and strategie 7 vs. the measured stem volume [<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0140095#pone.0140095.ref049" target="_blank">49</a>].</p

The 21 candidate equations and their corresponding mathematical expressions.

<p>Note: V = 0.00005806*(D^1.955335)*(H^0.894033); W = (H-h)*(h–1.3); T = (H-h)/(H); z = h/H; K = π/40000;S = 1.3-H; X = ((H-h)/(H–1.3)); H: total height (m); h: height above ground level (m); D: diameter at breast height outside the bark (cm); d: diameter outside the bark at height h (cm); b1, b2, b3, b4, and b5 are parameters.</p><p>The 21 candidate equations and their corresponding mathematical expressions.</p

Diameter and total height distribution of the 466 h-d data used from 41 trees to model the taper equations.

<p>Diameter and total height distribution of the 466 h-d data used from 41 trees to model the taper equations.</p

Performance criteria of <i>LME</i> models for combinations of random effects.

<p>Performance criteria of <i>LME</i> models for combinations of random effects.</p