Sesam

Given the C/N ratio of total SOM, litter input and input to R: tvr of B and Enz calculate the proportion of residue pool R to total SOM

Calculate the share of enzymes tvr contributing to total tvr in addition to biomass

Calculate the C/N ratio of microbial biomass turnover. It may differ from β_NB because of elemental resorption.

R pool is a mixture of microbial turnover and enzymes. Here the stable C/N ratio is computed based on given parameterization.

R pool is a mixture of microbial turnover and enzymes. Here the stable C/N ratio is computed based on given parameterization.

compute elemental-limitation weighting factor omega_Z

compute_mean_du2(du1, α1, du2, α2; sum_α_others=0)

Compute mean across derivates, du, with checking excluding enzymes for 2 enzymes Given derivates du1, du2 and allocations α1 and α2. (Wutzler22 Appendix D1)

sumαothers: allocation to enzymes that should be excluded from the mean

Checks all the combinations of relative change of du being smaller than -α_Z

compute_mean_du3(du1, α1, du2, α2, du3, α3; sum_α_others=0)

Compute mean across derivates, du, with checking excluding enzymes for 2 enzymes Given derivates du1, du2, du3 and allocations α1, α2, α3. (Wutzler22 Appendix D1)

sumαothers: allocation to enzymes that should be excluded from the mean

Checks all the combinations of relative change of du being smaller than -α_Z

get_updated_Penz_pars(pDict, s)

Create a copy of parameters and set kmNP, kLP, and kRP to values of the L/R enzymes.

System to be coupled with Sesam3 that provides constant inputs, i.e. drivers. Need to specify parameters

• i_L0: litter input rate
• β_Ni0, β_Pi0: C:N and C:P ratio of litter input
• i_IN0, i_IP0: external inputs of inorganic N and P (N deposition, weathering)

optional:

• u_PlantNmax0, u_PlantPmax0: maximum plant uptake of inorganic N and P
• k_PlantN0, k_PlantP0: plant uptake rate per inorganic pool of N and P
• u_Pup: plant inorganic P uplift (to potentially modify u_PlantPmax0)

Defaults of plant uptake are set so that uptake rate is very high (1e3) so that the maximum is taken up, i.e. wins competition with microbes. The maximum plan uptake is set to match the input by litter.

System to be coupled with Sesam3 that provides constant inputs, i.e. drivers. Plant inorganic N and P uptake are computed to balance litter fall. Need to specify parameters

• i_L0: litter input rate
• β_Ni0, β_Pi0: C:N and C:P ratio of litter input
• i_IN0, i_IP0: external inputs of inorganic N and P (N deposition, weathering)

optional:

• imbalance_N0, imbalance_P0: to compute u_PlantNmax = iL0 / β_Ni0 - imbalance_N: negative for N or P exported or sequestered in biomass and positive for N or P taken up, e.g. from non-modelled deeper soil layers.
• k_PlantN0, k_PlantP0: default to very high value, so that u_PlantNmax0 are realized.

Defaults of plant uptake are set so that uptake rate is very high (1e3) so that the maximum is taken up, i.e. wins competition with microbes. The maximum plan uptake is set to match the input by litter.

model iL and βNi as as step function increased by factor fac_int at t in [t1,t2)

model iL and βNi as as step function increased by factor fac_int at t in [t1,t2). Superimpose a seasonal pattern on the litter input.

System where dL, dR, and d_P are fixed to given parameters, B held constant (dB/dt = 0)