Table 2 Prior distributions for parameters of Mitscherlich model (Eqs. 5, 9, 10, 11, 12) and thinned model (Eqs. 5, 8, 10, 11, 12)
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 |