Table 1 Synthesis of C-STABILITY parameters and scenarios setups with values for initial conditions, microbes traits, and enzymes families. Scenario 1 corresponds to cellulose degradation, scenario 2 to lignocellulose degradation, scenario 3 to succession of two different microbial communities on lignocellulose, considering microbial recycling, and scenario 4 to soil organic matter at steady state considering a continuous plant input and microbial recycling, with only one microbial community. Initial amounts of microbes and substrate are respectively noted \({({C}_{\rm{mic}})}_{t = 0}\) and \({({C}_{\rm{sub}})}_{t = 0}\), mic. stands for microbe and sub. for substrate. For scenario 3, two \({u}_{\rm{mic}}^{0} \) values were tested to compare non-cheating and cheating behavior of decomposers. For scenario 4, the values of \({\tau }_{\rm{enz}}^{0}\) were divided by 5 to account for in situ conditions, while other scenarios are based on laboratory case studies (Supplementary Table 1).
Parameter | Description | Unit | ||||||
|---|---|---|---|---|---|---|---|---|
\({u}_{\rm{mic}}^{0}\) | Microbial uptake rate per microbial carbon mass | g\({\,}_{C}^{-1}\).d−1 | ||||||
\({e}_{\rm{mic}}^{0}\) | Microbial carbon use efficiency | − | ||||||
\({m}_{\rm{mic}}^{0}\) | Microbial mortality rate | g\({\,}_{C}^{-1}\).d−1 | ||||||
\({\tau }_{\rm{enz}}^{0}\) | Enzymatic action rate per microbial carbon mass | g\({\,}_{C}^{-1}\).d−1 | ||||||
αenz | Enzymatic substrate cleavage factor | − | ||||||
Initial setup for each scenario | ||||||||
|---|---|---|---|---|---|---|---|---|
Scenario | Microbes | Initial conditions (gC) | Microbial signature | Plant biochemistry | ||||
\({({C}_{\rm{mic}})}_{t = 0}\) | \({({C}_{\rm{sub}})}_{t = 0}\) | Lipid | Protein | Mic. sugar | Plant sugar | Lignin | ||
1 | Plant decomposer | 5 | 95 | – | – | – | 100% | – |
2 | Plant decomposer | 5 | 125 | – | – | – | 76% | 24% |
3 | Plant/mic. decomposer | 5/5 | 125 | 30% | 20% | 50% | 76% | 24% |
4 | General decomposer | – | – | 30% | 20% | 50% | 76% | 24% |
Microbes parameters for each scenario | ||||||||
|---|---|---|---|---|---|---|---|---|
Scenario | Microbes | \({e}_{\rm{mic}}^{0}\) | \({m}_{\rm{mic}}^{0}\) | \({u}_{\rm{mic}}^{0}\) | ||||
Lipid | Protein | Mic. sugar | Plant sugar | Lignin | ||||
1 | Plant decomposer | 0.4 | 0.02 | − | − | − | 5 | − |
2 | Plant decomposer | 0.4 | 0.02 | − | − | − | 5 | 5 |
3 | Plant decomposer | 0.4 | 0.02 | 0/3 | 0/3 | 0/3 | 5 | 5 |
3 | Mic. decomposer | 0.5 | 0.01 | 5 | 5 | 5 | 0/3 | 0/3 |
4 | General decomposer | 0.4 | 0.02 | 5 | 5 | 5 | 5 | 5 |
Enzymes parameters for each scenario | ||||||||
|---|---|---|---|---|---|---|---|---|
Scenario | Enzymes action | \({\tau }_{\rm{enz}}^{0}\) | αenz | |||||
1-2-3/4 | Cellulolysis | 1.8/0.36 | 5 | |||||
2-3/4 | Lignolysis | 1/0.2 | 7 | |||||
3/4 | Lipidolysis | 0.8/0.16 | 1.5 | |||||
3/4 | Proteolysis | 1.8/0.36 | 5.5 | |||||
3/4 | Microbial sugar lysis | 1.8/0.36 | 5 | |||||
