Input parameters and variables
The following parameters are not properly named and will be renamed
| Old name | New name |
|---|---|
| TimeEnd | timeEnd |
| TimeStep | timeStep |
| switches.Ha | switches.sideLengthOfSimulationArea |
| par.seedDispersalKernelShapeParams | par.seedDispersalMaxDistance |
| par.seedDispersalKernelLocationParams | par.seedDispersalAverageDistance |
Table 7: General input parameters of the simulation.
| Symbol | Description | Unit | Source code variable |
|---|---|---|---|
| $A_{\text{area}} $ | side length of simulated area | $\text{m} $ | switches.sideLengthOfSimulationArea |
| $A_{\text{patch}} $ | patch area | $\text{m}^{2}$ | |
| $n_{\text{patches}}$ | number of patches per simulation area | $- $ | |
| $t_{y} $ | length of simulation | $\text{yr} $ | timeEnd |
| $Δt $ | time step | $\text{yr} $ | timeStep |
| number of species groups (PFTs) | $- $ | par.pftCount |
Table 8: Geometric input parameters.
| Symbol | Description | Unit | Source code variable |
|---|---|---|---|
| mathematical form of the allometric relationships | $- $ | par.allometricRelationships | |
| $h_{0}, h_{1}, h_{2} $ | coefficients of height-stem diameter relationship | $- $ | par.heightFromDbhParams |
| $c_{l0}, c_{l1}, c_{l2} $ | coefficients of crown-length-height relationship | $- $ | par.crownLengthFactorFromHeightParams |
| $c_{d0}, c_{d1}, c_{d2}, c_{d3}$ | coefficients of crown-diameter-stem-diameter relationship | $- $ | par.crownDiameterFromDbhParams |
| $ρ $ | wood density | $\frac{\text{t}_{\text{ODM}}}{\text{m}^3}$ | par.woodDensities |
| $σ $ | ratio of total aboveground biomass to stem biomass | $- $ | par.stemBiomassFractionParams |
| $f $ | form factor | $- $ | |
| $f_{0}, f_{1}, f_{2} $ | coefficients of form-factor-stem-diameter relationship | $- $ | par.formFactorFromDbhParams |
| $b_{0}, b_{1}, b_{2} $ | coefficients of biomass-stem-diameter relationship | $- $ | par.biomassFromDbhParams |
| $l_{0}, l_{1} $ | LAI-stem-diameter relationship | $- $ | par.laiFromDbhParams |
| $D_{\text{max}} $ | maximal stem diameter | $\text{m} $ | par.maxPlantSizes |
| $H_{\text{max}} $ | maximal height | $\text{m} $ | par.maxPlantSizes |
| $B_{\text{max}} $ | maximal aboveground biomass | $\text{t}_{\text{ODM}} $ |
Table 9: Recruitment and establishment input parameter.
| Symbol | Description | Unit | Source code variable |
|---|---|---|---|
| $N_{\text{seed}} $ | global in-growth rate of seeds | $\frac{1}{\text{ha yr}} $ | par.externalSeedInfluxPerHectare |
| $N_{\text{init}} $ | initial seed number in seed pool | $\frac{1}{\text{patch}} $ | |
| $D_{\text{rep}} $ | minimum stem diameter of a seed producing mother tree | $\text{m} $ | par.minSeedProductionDbhs |
| $f_{\text{disp}} $ | dispersal kernel | $- $ | par.dispersalKernelFunctions |
| $dist_{\text{mean}} $ | average dispersal distance | $\text{m} $ | par.seedDispersalAverageDistance |
| $dist_{\text{max}} $ | maximum dispersal distance | $\text{m} $ | par.seedDispersalMaxDistance |
| $σ $ | ratio of total aboveground biomass to stem biomass | $- $ | |
| $I_{\text{seed}} $ | percentage of incoming radiation at floor required for germination | $\% $ | par.minEstablishmentIrradianceFraction |
| $M_{\text{pool}} $ | mortality rate of seeds in the seed pool | $\frac{1}{\text{yr}} $ | par.seedPoolMortalityRates |
| $max_{\text{dens}} $ | maximal number of germinating seedlings | $\frac{1}{\text{patch}} $ | par.maxSeedlingsPerPatch |
| $D_{\text{min}} $ | initial stem diameter of a germinated seedling | $\text{m} $ | par.seedlingDbh |
Table 10: Mortality input parameters.
| Symbol | Description | Unit | Source code variable |
|---|---|---|---|
| mathematical form of death rate computation | par.mortalityFunction | ||
| $M_{B} $ | base / background mortality rate | $\frac{1}{\text{yr}}$ | par.backgroundMortalityParams |
| $m_{d0}, m_{d1} $ | mortality rate dependent on stem diameter | $- $ | par.mortalityFromDbhParams |
| $m_{i0}, m_{i1}, m_{i2}$ | mortality rate dependent on stem diameter increment | $- $ | par.mortalityFromDbhIncrementParams |
| $f_{\text{fall}} $ | probability for a dead tree to fall | $- $ | par.treeFallProbability |
Table 11: Light climate and photosynthesis input parameters and variables.
| Symbol | Description | Unit |
|---|---|---|
| $Δh $ | width of layers of aboveground vertical space discretization in a patch | $\text{m} $ |
| $n_{\text{layer}}$ | number of layer of aboveground vertical space discretization | $- $ |
| $I_{0} $ | incoming irradiance on top of canopy | $\frac{\mu\text{mol}_{\text{photon}}}{\text{m}^2 s}$ |
| $k $ | light extinction coefficient | $- $ |
| $α $ | initial slope of light response curve | $\frac{\mu\text{mol}_{\text{CO}_2}}{\mu\text{mol}_\text{photon}} $ |
| $p_{\text{max}} $ | maximal leaf gross photosynthetic rate | $\frac{\mu\text{mol}_{\text{CO}_2}}{\text{m}^2 \text{s}} $ |
| $m $ | transmission coefficient | $- $ |
| $l_{\text{day}} $ | day length | $\text{h} $ |
| $φ_{\text{ODM}} $ | conversion factor | $\frac{\text{t}_\text{ODM}}{\mu \text{mol}_{\text{CO}_2}} $ |
Table 12: Water module input parameter and variables.
| Symbol | Description | Unit |
|---|---|---|
| $PR $ | precipitation | $\frac{\text{mm}}{\text{h}} $ |
| $K_{L} $ | interception constant | $\frac{\text{mm}}{\text{h}} $ |
| $POR $ | soil porosity | $\frac{\text{mm}}{\text{h}} $ |
| $K_{s} $ | fully saturated conductivity | $\frac{\text{mm}}{\text{h}} $ |
| $Θ_{\text{res}} $ | residual soil water content | $\frac{\text{mm}}{\text{h}} $ |
| $λ $ | pore size distribution index | $- $ |
| $WUE $ | water-use-efficiency | $\frac{t_{\text{ODM}}}{{\text{kg}_{\text{H}_2\text{O}}}}$ |
| $PET $ | potential evapotranspiration | $\frac{\text{mm}}{\text{h}} $ |
| $Θ_{soil}^{init}$ | initial soil water content at start of simulation | $V\%$ |
| $Θ_{pwp} $ | permanent wilting point | $V\%$ |
| $Θ_{fc} $ | field capacity | $V\%$ |
| $Θ_{msw} $ | minimum soil water content | $V\%$ |
Table 13: Temperature input parameter and variables.
| Symbol | Description | Unit |
|---|---|---|
| $T $ | air temperature | $^{∘}\text{C}$ |
| $n $ | number of days per time step $\Delta t$ | $- $ |
| $T_{\text{crit}} $ | critical temperature for bud-burst | $^{∘}\text{C}$ |
| $k_{0}, k_{1}, k_{2} $ | parameter of inhibition factors | $- $ |
| $T_{\text{CO}_2, l}, T_{\text{CO}_2, h}$ | temperature limits of $\text{CO}_2$ assimilation | $^{∘}\text{C}$ |
| $T_{\text{hot}}, T_{\text{cold}}$ | monthly mean temperature of warmest and coldest month an individual can cope with | $^{∘}\text{C}$ |
| $T_{\text{ref}} $ | reference temperature | $^{∘}\text{C}$ |
| $Q_{10} $ | base of Q$_{10}$ function | $- $ |
Table 14: Respiration input parameter and variables.
| Symbol | Description | Unit |
|---|---|---|
| $R_{g} $ | growth respiration factor | $- $ |
| $g(D) $ | maximal stem diameter increment (growth) function | $- $ |
| $a_{0}, a_{1}, a_{2}, a_{3}$ | coefficients of the growth function $g(D)$ | $- $ |
| $x_{i}, i = 1, ..., 8 $ | auxillary variables | $- $ |
| $ΔD_{\text{max}} $ | maximal measured stem diameter increment | $\frac{\text{m}}{\text{yr}} $ |
| $D_{ΔD_{\text{max}}} $ | stem diameter at which maximal increment is measured | prop. of $D_{\text{max}} $ |
| $ΔD_{D_{\text{max}}} $ | max. measured stem diameter increment for diameter $D_\text{min}$ | prop. of $ΔD_{\text{max}} $ |
| $ΔD_{D_{\text{max}}} $ | max. measured stem diameter increment for diameter $D_\text{max}$ | prop. of $ΔD_{\text{max}} $ |
| $\check{I}_{\text{ind}} $ | reference irradiance of parameterization climate | $\frac{\mu \text{mol}_{\text{photon}}}{\text{m}^2 \text{s}}$ |
| $\check{\varphi}_{\text{act}}$ | reference vegetation period of parameterization climate | $\text{d} $ |
| $\check{\varphi}_T $ | reference temperature limitation factor of photosynthesis of parameterization climate | $- $ |
Table 15: Lidar input parameter and variables.
| Symbol | Description | Unit |
|---|---|---|
| $P_{0,\text{Lid}, \text{V}}$ | surface return probability for vegetation voxels | $-$ |
| $k_{\text{Lid}, \text{V}} $ | Lidar extinction coefficient for vegetation voxels | $-$ |
| $P_{0,\text{Lid}, \text{G}}$ | surface return probability for ground voxels | $-$ |
| $k_{\text{Lid}, \text{G}} $ | Lidar extinction coefficient for ground voxels | $-$ |
| $s_{\text{Lid}} $ | spacing between Lidar pulses | $\text{m} $ |
| $t_{\text{Lid}} $ | time interval between Lidar scans | $\text{yr}$ |