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Table 3 Summary statistics of the periodic mean annual stand volume increment model (Eq. 11) as a function of conventional site index (\(SI\)) and periodic site index (\(pSI\))

From: A growth-effective age-based periodic site-index for the estimation of dynamic forest site productivity under environmental changes

SI

Variable

Std.Error

t-value

Pr( >|t|)

\(R^2\)

\(RMSE\)

\(AIC\)

n

Parameter

Estimate

\(SI\)

\({\alpha }_{1}\)

1.04600

0.07968

13.128

< 0.0001

0.46

4.765

32,347

5435

\({\alpha }_{2}\)

0.13780

0.01362

10.117

< 0.0001

\({\alpha }_{3}\)

−0.00062

0.00004

−14.286

< 0.0001

\({\alpha }_{4}\)

0.00017

0.00001

25.550

< 0.0001

\({\boldsymbol{\alpha }}_{5}\)

0.05277

0.00097

54.514

< 0.0001

\(pSI\)

\({\alpha }_{1}\)

1.67917

0.11231

14.952

< 0.0001

0.51

4.517

31,768

5435

\({\alpha }_{2}\)

0.10858

0.01283

8.461

< 0.0001

\({\alpha }_{3}\)

−0.05277

0.00376

−14.035

< 0.0001

\({\alpha }_{4}\)

0.00017

0.00001

27.508

< 0.0001

\({\boldsymbol{\alpha }}_{5}\)

0.04735

0.00076

61.907

< 0.0001