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Table 4 3-PGmix parameter descriptions, their names, symbols, units, values, and sources: Default (D) values from the 3-PGmix model/modelled values Fitted (F) to observed data/Literature (L) related to teak from Indian conditions/Observed (O) data from the field used in this study

From: Modelling the growth response to climate change and management of Tectona grandis L. f. using the 3-PGmix model

Parameter’s description

Name

Symbol

Unit

Value

Source

Biomass partitioning and turnover

  Foliage: stem partitioning ratio (DBH = 2 cm)

pFS2

p2

-

0.33

F

  Foliage: stem partitioning ratio (DBH = 20 cm)

pFS20

P20

-

0.12

F

  Constant in the stem biomass and DBH relationship

aWS

\({a}_{S}\)

-

0.13

F

  Power in the stem biomass and DBH relationship

nWS

\({n}_{S}\)

-

2.01

F

  Maximum fraction of NPP to root

pRx

\({\eta }_{Rx}\)

-

0.6

F

  Minimum fraction of NPP to roots

pRn

\({\eta }_{Rn}\)

-

0.2

F

Litterfall and root turnover

  Maximum litterfall rate

gammaF1

γFx

mn−1

0.03

D

  Litterfall rate when age = 0

gammaF0

γF0

mn−1

0.001

D

  Age at which litterfall rate has a median value

tgammaF

tγF

months

12

D

  Average monthly root turnover rate

gammaR

γR

mn−1

0.015

D

  If deciduous, leaves are produced at end of this month

leafgrow

leafP

month

4

O

  If deciduous, leaves all fall at start of this month

leaffall

leafL

month

11

O

Temperature modifier \(\left({f}_{T}\right)\)

  Parameter’s description

Name

Symbol

Unit

Value

Source

  Minimum temperature, optimum, and maximum temperature

Tmin, Topt, Tmax

\({T}_{\mathrm{min}}\), \({T}_{\mathrm{opt},}\) \({T}_{\mathrm{max}}\)

˚C

13, 25, 43

Pandey and Brown (2000)

Frost modifier \(\left({f}_{\mathrm{frost}}\right)\)

  Days production lost per frost day

kF

\({k}_{F}\)

days

0

O

Soil water modifier \(\left({f}_{\mathrm{ASW}}\right)\)

  Moisture ratio deficit for soil water content = 50%

SWconst

\({c}_{\theta }\)

-

0.5

D

  Power of moisture ratio deficit

SWpower

\({n}_{\theta }\)

-

5

D

Atmospheric CO2 modifier

  Assimilation enhancement factor at 700 ppm

fCalpha700

fCα700

-

1.4

D

  Canopy conductance enhancement factor at 700 ppm

fCg700

fCg700

-

0.3

D

Fertility effects (fN)

  Value of m when FR = 0

m0

m0

-

0.01

D

  Value of fN when FR = 0

fN0

fN0

-

0.6

F

  Power of (1-FR) in fN

fNn

\({n}_{fN}\)

-

0.6

F

Age modifier (fage)

  Maximum stand age used in age modifier

MaxAge

tx

yrs

120

Gangopadhyay (2005)

  Power of relative age in function for fage

nAge

\({n}_{\mathrm{age}}\)

-

4

D

  Relative age to give fage = 0.5

rAge

\({r}_{\mathrm{age}}\)

-

0.95

D

Stem mortality and self-thinning

  The mortality rate for large age

gammaN1

γN1

yr−1

0.005

Behera et al. (2019)

  Seedling mortality rate at age = 0

gammaN0

γN0

yr−1

0

D

  Age at which mortality rate has a median value

tgammaN

\({t}_{\gamma N}\)

yrs

2

D

  Shape of mortality response

ngammaN

\({n}_{\gamma N}\)

-

1

D

  Max. Stem mass per tree at 1000 trees ha−1

wSx1000

\({w}_{Sx1000}\)

kg trees−1

300

D

  Power in self-thinning rule

thinPower

\({n}_{N}\)

-

1.5

D

  The fraction of mean single-tree for foliage, root, and stem biomass lost per dead tree

mF, mR, mS

\({m}_{F,} {m}_{R},\) ms

-

0.01, 0.1, 0.04

D

Specific leaf area

  Specific leaf area at age 0

SLA0

σ0

m2kg−1

10.68

Mehta et al. (2012)

  Specific leaf area for mature leaves

SLA1

σ1

m2kg−1

22.7

Gopalakrishnan et al. (2011)

  Age at which specific leaf area = (σ0 + σ1)/2

tSLA

\({t}_{\sigma }\)

yrs

3

D

Light interception

  Extinction coefficient for absorption of PAR

k

\(k\)

-

0.47

D

  Age at canopy cover

fullCanAge

\({t}_{c}\)

yrs

10

F

  Canopy quantum efficiency

alphaCx

\({\alpha }_{Cx}\)

molC/molPAR

0.055

D

Rainfall interception

  Maximum proportion of rainfall intercepted

MaxIntcptn

\({i}_{Rx}\)

-

0.15

D

  LAI for maximum rainfall interception

LAImaxIntcptn

\({L}_{ix}\)

m2m−2

3.79

Behera et al. (2017)

  LAI for 50% reduction of VPD in canopy

cVPD

\({L}_{50D}\)

-

5

D

Production and respiration

  Ratio NPP/GPP

Y

\(Y\)

̵

0.47

D

Conductance

  Parameter’s description

Name

Symbol

Unit

Value

Source

  Minimum canopy conductance

MinCond

gSx

ms−1

0.013

D

  Maximum canopy conductance

MaxCond

\({g}_{Cx}\)

ms−1

0.08

F

  LAI for maximum canopy conductance

LAIgcx

\({L}_{Cx}\)

m2m−2

3.33

D

  Defines stomatal response to VPD

CoeffCond

kD

MBar−1

0.04

D

  Canopy boundary layer conductance

BLcond

\({g}_{B}\)

ms−1

0.01

Behera et al. (2019)

Branch and bark fraction \(\left({p}_{\mathrm{BB}}\right)\)

  Branch and bark fraction at age = 0

fracBB0

\({p}_{\mathrm{BB}0}\)

-

0.75

Pontes (2011)

  Branch and bark fraction for mature stands

fracBB1

\({p}_{\mathrm{BB}1}\)

-

0.15

Pontes (2011)

  Age at which \({p}_{\mathrm{BB}}\) = (\({p}_{\mathrm{BB}0}\) +\({p}_{\mathrm{BB}1}\))/2

tBB

\({t}_{\mathrm{BB}}\)

yrs

2

Pontes (2011)

  Minimum basic density for young trees

rhoMin

\({\rho }_{0}\)

tm−3

0.45

D

  Maximum basic density for older trees

rhoMax

\({\rho }_{1}\)

tm−3

0.45

Pontes (2011)

  Age at which ρ = ½ density of old and young trees

tRho

\({t}_{\rho }\)

yrs

4

D

Stem height

  Constant in stem height relationship

aH

\({a}_{H}\)

-

0.4501

F

  Power of DBH in the stem height relationship

nHB

\({n}_{HB}\)

-

1.0892

F

  Power of stocking in the stem height relationship

nHC

\({n}_{HN}\)

-

0.002

F