Table 1. The generalized algebraic difference approach models fitted to dominant height time series of beech according to Sharma et al. (2011). 
Base model  Generalized algebraic difference approach model 

Table 2. Parameter estimates and their tvalues of the fitted models. Models fit statistics: mean absolute residual (MR), residual standard error (RSE), root mean squared error (RMSE), Akaike information criterion (AIC), adjusted R^{2}value (McNemar’s method), and variance components of the random effects (VAR). 
 ChapmanRichards  Hossfeld  Hossfeld I  KingProdan  Loglogistic  Sloboda  Strand 
Parameter estimates 
b1  0.0227  43.7466  0.0228  1.576  43.803  52.9402  0.1789 
b2  –9.8636  121.078  –0.0054  118.678  –104.29  0.2502  –0.0034 
b3  42.6561  1.5954   –5281.7  –1.6153  0.6489  2.2777 
Estimate tvalues 
b1  16.88  10.36  11.47  37.15  11.83  7.8  8.48 
b2  1.91  2.65  4.7  2.17  0.06  7.57  2.03 
b3  2.23  37.81   2.03  38.12  12.98  15.7 
Model statistics 
MR (m)  0.48  0.51  0.72  0.52  0.53  0.49  0.51 
RSE (m)  0.6  0.65  0.83  0.65  0.67  0.63  0.64 
RMSE (m)  0.6  0.64  0.82  0.65  0.66  0.62  0.64 
AIC  660.3  685.3  835  686.9  694.3  656.8  677.7 
Adj. R^{2}  0.9963  0.9956  0.9958  0.9956  0.9954  0.9959  0.9958 
VAR (tree)  0.317  1.125  0.133  0.013  0.432  0.721  0.009 
VAR (stand)  0.011  1.965  2.231  2.023  0.414  0.168  0.377 
VAR (residual)  0.367  0.418  0.553  0.422  0.441  0.384  0.409 
Fig. 1. The nonlinear dominant height models (black lines) fitted to the observed data (grey lines, each line represent single tree); model predictions are for 3 m site index intervals for the range 21–42 m (A–G). Panel H show the height growth of beech in southern Sweden according to Carbonnier (1971); black line show site indices in 4 m intervals for the range 20–36 m.
Fig. 2. The differences between beech dominant height predicted by the developed ChapmanRichards (A) and Sloboda (B) models in the western part of Latvia and yield tables for southern Sweden (cf. Carbonnier 1971) according to stand age and site index.