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Table 4 Optimal parameters values of Mitscherlich model (Eqs. 5, 9, 10, 11, 12) and thinned model (Eqs. 5, 8, 10, 11, 12)

From: Bayesian inference of biomass growth characteristics for sugi (C. japonica) and hinoki (C. obtusa) forests in self-thinned and managed stands

Mitscherlich Model Thinned Model
Model parameters Lower CI Median Upper CI Model parameters Lower CI Median Upper CI
\(\phantom {\dot {i}\!}Y_{max_{th_{m}}}\) 4220 5370 6000 \(\phantom {\dot {i}\!}Y_{max_{{th}}}\) 1.36 1.96 2.78
\(\phantom {\dot {i}\!}\omega _{yth_{m}}\) 0.99 1 1 ωyth 0.95 0.97 0.99
\(\phantom {\dot {i}\!}\gamma _{yth_{m}}\) 1.610−3 1.910−3 2.510−3 γyth 1.410−2 1.810−2 2.110−2
\(\phantom {\dot {i}\!}\sigma _{yth_{m}}\) 33.8 41.4 50.1 σyth 29.6 36.6 44.2
N0 1590 2070 2630 N0 15000 18600 22200
ωN 3.810−2 4.710−2 5.710−2 ωN 4.310−2 5.210−2 6.210−2
γN 0.09 0.11 0.13 γN 0.08 0.10 0.11
σN 508 604 717 σN 505 598 707
aB 0.06 0.11 0.19 aB 6.210−2 0.14 0.24
bB 0.89 1.01 1.11 bB 0.85 0.98 1.13
σB 0.88 1.12 1.41 σB 0.92 1.18 1.4
aL 1.510−6 0.03 0.72 aL 0.1 0.96 2.6
bL 2.42 5.8 9.5 bL 2.05 3.39 4.96
\(\phantom {\dot {i}\!}W_{L_{{max}}}\) 17.6 18.5 19.4 \(\phantom {\dot {i}\!}W_{L_{{max}}}\) 17.6 18.5 19.4
σWL 1.42 1.8 2.22 σWL 1.4 1.8 2.2
  1. The median and lower and upper credible interval (Highest Posterior Density interval) were gathered