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Table 1 Parameters of the carbon balance model

From: A methodological framework to assess the carbon balance of tropical managed forests

Submodel

Parameter

Distribution

Justification

Data source

Extracted wood

dext

0.736

3 main commercial species

[31, 32]a

 

\(f_{SW}\)

0.33

No uncertainty reported

[33]b

Sawnwood decay

\(\lambda _{SW}\)

\(N_{t0}(30,15^2)\)

Positive normal distribution

[30]c

Damage

\(\theta _0\)

\(N(1.28, 0.48^2)\)

Normal approximation of the posterior

TmFO sitesb

 

\(\theta _1\)

\(N(0.56,0.14^2)\)

Normal approximation of the posterior

TmFO sitesb

 

\(\sigma _{dam}\)

\(N(0.37,0.04^2)\)

Normal approximation of the posterior

TmFO sitesb

Logging roads

\(\delta\)

U(0.12, 0.25)

Personal communication

NFS expertisea

 

\(\eta\)

exp(17.95)

Decreasing monotonic distribution

[36]a

Main skid trails

SurfST

U(0.04, 0.10)

Only range of values is reported

[36]a

 

\(f_{50}\)

Beta(15.10, 15.32)

Proportion

Guyafora

Logging decks

LDeck

\(ACS\times lnN(-6.12,0.58)\)

Positive distribution

Original dataa

LWN decay

fLWN

Beta(1115, 169)

Proportion

Guyafora

 

\(\lambda _1\)

\(N(0.069,0.028^2)\)

Normal approximation of the posterior

Guyafora

 

\(\lambda _2\)

\(N(0.198,0.074^2)\)

Normal approximation of the posterior

Guyafora

 

\(\pi _1\)

\(N(0.512,0.032^2)\)

Normal approximation of the posterior

Guyafora

 

\(\sigma _{LWN}\)

\(N(0.015,0.0035^2)\)

Normal approximation of the posterior

Guyafora

FWN decay

\(\lambda _{FWN}\)

\(N(0.19, 0.026^2)\)

Reported distribution

[37]c

Forest recovery

\(\alpha\)

\(N(1.100, 0.03^2)\)

Reported distribution

[13]c

Regeneration

\(\mu _0\)

\(N(-4.505,0.124^2)\)

Maximum likelihood estimate

Arbocela

 

\(\mu _1\)

\(N(1.085,0.038^2)\)

Maximum likelihood estimate

Arbocela

 

\(\varphi\)

490.7

Maximum likelihood estimate

Arbocela

  1. Parameters are grouped by submodel in which they appear. FWN fine woody necromass decay; LWN large woody necromass. ACS initial above-ground carbon stock (MgC·ha\(^{-1}\)). Parameters are: dext mean density of extracted roundwood in French Guiana; \(f_{SW}\) efficiency of wood transformation in sawmills; \(\lambda _{SW}\) decay rate of sawnwood; \((\theta _0, \theta _1, \sigma _{dam})\) parameters of the relationship between extracted wood and logging damage; \((\eta ,\delta )\) length (hm·ha\(^{-1}\)) and width (hm) of logging roads; SurfST main skid trails area (ha); \(f_{50}\) proportion of above-ground carbon in trees DBH <50 cm; LDeck carbon loss in logging decks; \(f_{LWN}\) fraction of necromass carbon in large woody necromass; \((\lambda _1,\lambda _2, \pi _1, \sigma _{LWN)})\) parameters of large woody necromass decay; \(\alpha\) parameter of the recovery model; \(\mu _0\), \(\mu _1\) and \(\varphi\): parameters of the regeneration beta model
  2. a Valid in French Guiana
  3. b Valid in Amazonia
  4. c Valid in the tropics