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. 2019 Feb 4;29(2):e01837. doi: 10.1002/eap.1837

Table 2.

List of 3D‐CMCC‐CNR model parameters used in the sensitivity analysis, symbols, units, literature values, and their description (for references in values see Appendix S1: Table S2)

Parameter Symbols Units Fagus sylvatica Pinus sylvestris Picea abies Process(es) Description
K k ratio 0.5 0.51 0.54 L extinction coefficient for absorption of PAR by canopy
ALBEDO A ratio 0.15 0.12 0.06 L albedo
SLA_AVG0 SLA0 m2/kg DM 40 14.7 7.52 L average specific leaf area (juvenile)
SLA_AVG1 SLA1 m2/kg DM 20 4.49 3.9 L average specific leaf area (mature)
TSLA TSLA yr 35 10 30 L age at which average SLA = (SLA_AVG0 + SLA_AVG1)/2
SLA_RATIO SLAsun:shade ratio 2.3 2.52 2 L ratio of shaded to sunlit projected SLA
LAI_RATIO LAIall:proj ratio 2 2.6 2.6 L all‐sided to projected leaf area ratio
FRACB0 PB0 ratio 0.2 0.3 0.6 D branch fraction (juvenile)
FRACB1 PB1 ratio 0.125 0.1 0.1 D branch fraction (mature)
TBB T BB yr 20 10 30 D age at which fracB = (FRACB0 + FRACB1)/2
RHO0 ρ0 Mg DM/m3 0.64 0.4 0.425 D minimum basic wood density (juvenile)
RHO1 ρ1 Mg DM/m3 0.64 0.39 0.374 D maximum basic wood density (mature)
TRHO T ρ yr 50 4 50 D age at which wood density = (RHO0 + RHO1)/2
COEFFCOND K D Pa 800 500 500 C define stomatal response to VPD
BLCOND g BL m/s 0.01 0.01 0.009 C canopy boundary layer conductance
MAXCOND g smax m/s 0.005 0.0025 0.002 C maximum stomatal conductance
CUTCOND g cut m/s 6.00 × 10−5 7.50 × 10−5 6.00 × 10−5 C cuticular conductance
MAXAGE agemax yr 400 300 400 C + M determines rate of “physiological decline” of forest
RAGE r age dimensionless 0.95 0.95 0.95 C + M relative age to give fAGE = 0.5
NAGE n age dimensionless 10 4 4 C + M power of relative age in function for age
T_MIN T min °C 0 −2 −4 P + C minimum temperature for assimilation/conductance
T_MAX T max °C 40 35 35 P + C maximum temperature for assimilation/conductance
T_OPT T opt °C 20 17.5 17.5 P + C optimum temperature for assimilation/conductance
T_START T start °C 60 P + C thermic sum for starting growth
MINDAYLENGTH h min h/d 12 P + C minimum day length for starting leaf fall
SWPOPEN SWPopen MPa −0.34 −0.5 −0.5 P + C leaf water potential: start of reduction
SWPCLOSE SWPclose MPa −2.2 −2.2 −2.5 P + C leaf water potential: complete reduction
OMEGA ω dimensionless 0.8 0.8 0.8 A parameter controlling the sensitivity of allocation to changes in water and light availability
FRACS0 εstem ratio 0.1 0.15 0.15 A parameter controlling allocation to stems/minimum ratio to C to stem
FRACR0 εroot ratio 0.55 0.55 0.55 A parameter controlling allocation to roots/minimum ration to C to roots
FRACL0 εleaves ratio 0.35 0.3 0.3 A parameter controlling allocation to leaves/minimum ration to C to leaves
FRUIT_PERC εfruit ratio 0.2 0.2 0.1 A fraction of NPP allocated for reproduction during the prescribed seasonal period
FRUIT_LIFE_SPAN Conelife yr 1 3 3 M life span for fruits
FINE_ROOT_LEAF FRL ratio 1 0.622 A fine root C:leaf C(initialization)
COARSE_ROOT_STEM CRS ratio 0.36 0.29 0.19 A coarse root C:stem C (initialization)
LIVE_TOTAL_WOOD LTC ratio 0.13 0.076 0.076 A live C:total wood C (initialization)
N_RUBISCO NR ratio 0.162 0.055 0.055 P fraction of leaf N in Rubisco
CN_LEAVES C:Nleaves kg C/kg N 27 36 42 A + R C:N of leaves
CN_FINE_ROOTS C:Nfroot kgC/kg N 72 49 58 A + R C:N of fine roots
CN_LIVEWOOD C:Nlive kg C/kg N 70 58 50 A + R C:N of live wood
BUD_BURST BB d 20 Ph days of bud burst at the beginning of growing season (only for deciduous)
LEAF_FALL_FRAC_GROWING LFF dimensionless 0.25 Ph proportion of the growing season of leaf fall
LEAF_FINEROOT_TURNOVER ϒgreen yr−1 1 0.25 0.195 Ph average annual leaf and fine root turnover
LIVE_WOOD_TURNOVER ϒlive_wood yr−1 0.7 0.7 0.7 R annual live wood turnover
DBHDCMAX DBHDCmax ratio 0.5 0.45 0.4 D maximum DBH to crown diameter
DBHDCMIN DBHDCmin ratio 0.14 0.14 0.14 D minimum DBH to crown diameter
SAP_A SAPa dimensionless 0.778 0.974 0.851 D + L scaling coefficient in sapwood area vs. DBH relationship
SAP_B SAPb dimensionless 1.917 1.7979 1.684 D + L scaling exponent in sapwood area vs. DBH relationship
SAP_LEAF SAPleaf m2/m2 5400 1480 2600 D + L leaf area to sapwood area
SAP_WRES SAPres g NSC/g DM 0.11 0.05 0.05 A + R sapwood to reserve fraction
STEM_A a S dimensionless 0.2837 0.127 0.127 D scaling coefficient in stem mass vs. DBH relationship
STEM_B n S dimensionless 2.134 2.3 2.3 D scaling exponent in the stem mass vs. DBH relationship
CRA CRA m 35 32 32 D Chapman‐Richards maximum tree height
CRB CRB dimensionless 0.038 0.04 0.064 D Chapman‐Richards exponential decay parameter
CRC CRC dimensionless 1.104 0.99 1.784 D Chapman‐Richards shape parameter

The processes column summarizes the main physiological, functional, and structural process(es) that each parameter controls (L, light interception; D, plant structural trait; C, stomatal conductance; M, mortality; P, photosynthesis; A, partitioning and allocation; R, autotrophic respiration; Ph, phenology). PAR, photosynthetically available radiation; DM, dry mass; NSC, non‐structural tree C.