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Forest Ecosystems

Table 2 Prior distributions for parameters 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 Law Law parameter 1 Law parameter 2 Model parameters Law Law parameter 1 Law parameter 2
\(\phantom {\dot {i}\!}Y_{max_{th_{m}}}\) LogUniform 500 6000 \(\phantom {\dot {i}\!}Y_{max_{{th}}}\) LogUniform 1 50
\(\phantom {\dot {i}\!}\omega _{yth_{m}}\) LogUniform 0.5 1 ωyth LogUniform 0.5 1
\(\phantom {\dot {i}\!}\gamma _{yth_{m}}\) LogUniform 1e-12 0.01 γyth LogUniform 0.001 0.1
\(\phantom {\dot {i}\!}\sigma _{yth_{m}}\) InvGamma 3 0.05 σyth InvGamma 3 0.05
N0 LogUniform 1000 30000 N0 LogUniform 1000 30000
ωN LogUniform 0.01 1 ωN LogUniform 0.01 1
γN LogUniform 0.01 1.5 γN LogUniform 0.01 1.5
σN InvGamma 3 0.05 σN InvGamma 3 0.05
aB LogUniform 1e-5 1 aB LogUniform 0.05 1
bB LogUniform 0.1 2 bB LogUniform 0.1 2
σB InvGamma 3 0.05 σB InvGamma 3 0.05
aL LogUniform 1e-12 1 aL LogUniform 0.1 3
bL LogUniform 0.1 10 bL LogUniform 0.1 5
\(\phantom {\dot {i}\!}W_{L_{{max}}}\) LogUniform 10 30 \(\phantom {\dot {i}\!}W_{L_{{max}}}\) LogUniform 10 30
σWL InvGamma 3 0.05 σWL InvGamma 3 0.05
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