Table 1. Equations for the basic DEBkiss model.
| Model component | Specification |
|---|---|
| Fluxes in mg (dw) d-1 | |
| Assimilation | JA = fJaAm L2 |
| Maintainance | JM = JvM L3 |
| Structral growth | Jv = yVA(κJA-JM) |
| Reproduction | JR = (1-κ)JA for L>Lp |
| State variables in mg (dw) | |
| Structural body mass | d/dt WV = JV with WV(0)≈ 0 |
| Assimilate buffer in egg | d/dt WB = -JA with WB(0) = WB0 |
| Reproduction buffer | d/dt WR = JR with WR(0) = 0 |
| Chemical state variable in μg/mL | |
| Internal chemical concentration | d/dt Cv = ke(Lm/L)(Cd-Cv)-(Cv/Wv)d/dtWv |
| Conversions | |
| Volumetric length to dry weight | WV = dV L3 |
| Volumetric length to physical length | LW = L/δM |
| Temperature factor | FT = e(TA/Tref—TA/Ta) |
| Maximum size of the control | Lm = κJaAm/JvM |
| Stress function related to scaled internal Cu1 | sCu = 1/CTmax(0, Cv-Co) |
| Applying stress factors to model parameters | |
| Stress on assimilation flux | JaAm-stress = JaAm*max(0,1-s) |
| Stress on metabolic flux | JVM-stress = JVM(1+s) |
| Stress on cost of growth | yVA -stress = yVA/(1+s) |
| Stress on cost of reproduction | yBA -stress = yBA/(1+s) |
| Stress on length at puberty | Lp-stress = Lp(1+s) |
1 The use of scaled concentrations rather than measured is discussed in Jager et al. [33]