Table 2 Summary of statistics and calculation methods of the nine growth parameters estimated for the dominant trees of the subset of 41 plots. a, b, and c are the growth parameters from Hossfeld Eq. (2). \(t_{ip}\), \(h_{ip}\) and \(g_{ip}\) are, respectively, the age, height, and growth rate at the inflexion point in (2) curve. \(t_{mmg}\), \(h_{mmg}\) and mmg are the age, height, and growth rate at the maximum mean growth point in (2) curve, respectively

a

least squares estimate

26.9

8.11

8.39

39.77

b

least squares estimate

473

201

127

798

c

least squares estimate

1.69

0.168

1.32

2.03

\(t_{ip}\) (years)

\(\big (\frac{2 b c}{c + 1}- b\big ) ^ \frac{1}{ c}\)

16.03

3.94

8.25

25.003

\(h_{ip}\) (m)

\(\frac{a}{1+bt_{ip}^{-c}}\)

5.26

1.52

2.02

7.97

\(g_{ip}\) (m/years)

\(\frac{a b c t_{ip} ^ {c - 1}}{(b + t_{ip} ^ c) ^ 2}\)

0.447

0.108

0.241

0.736

\(t_{mmg}\) (years)

\((b (c - 1)) ^ \frac{1}{ c}\)

28.8

7.05

14.9

45.4

\(h_{mmg}\) (m)

\(\frac{a}{1+bt_{mmg}^{-c}}\)

10.5

3.04

4.03

15.9

mmg (m/years)

\(\frac{a}{t_{mmg}(1+bt_{mmg}^{-c})}\)

0.371

0.0915

0.196

0.603