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Table 5 Indicators of the model’s goodness-of-fit

From: Dynamic height growth models for highly productive pedunculate oak (Quercus robur L.) stands: explicit mapping of site index classification in Serbia

Model

Fitting statistics

Validation statistics

Growth elements

\(\overline{e }\)

\({\text{RMSE}}\)

\({{R}_{{\text{adj}}}}^{2}\)

d-w

\(AIC\)

Bias

\({\text{MAD}}\)

\({\text{MEF}}\)

Asy

CAI

Age

M1

0.0631

1.1195

0.9676

1.98

3793.96

 − 0.0099

0.2439

0.9975

40.4

1.13

11

M2

0.0388

1.0973

0.9707

1.98

3898.04

0.0076

0.2457

0.9975

40.1

1.69

1

M3

0.0387

1.0972

0.9707

1.98

3897.97

0.0064

0.2460

0.9975

40.0

1.79

1

M4

0.0592

1.2588

0.9614

2.01

3970.89

0.0100

0.2440

0.9975

42.1

1.53

7

M5

0.0481

1.1879

0.9656

1.99

3942.91

0.0008

0.2474

0.9975

41.3

1.37

5

  1. \(\overline{{\varvec{e}} }\) estimation bias, \(RMSE\) root mean square error, \({{R}_{adj}}^{2}\) adjusted coefficient of determination, \(AIC\) Akaike information criterion, (d-w) Durbin-Watson statistics; validation statistics: \(MAD\) mean absolute difference, \(MEF\) model estimation efficiency) and growth elements for assessment of biological realism of the models (Asy asymptotes, CAI current annual height increment, Age time of culmination