Table 6.2. (Cont.) Mathematical Equations Used in the Model of the Role of Vines in Forested Wetland Succession.


Flows
Ji'
J13
Jl4A

J14B


Internal to the System:
 = K1 Vw M
 = k13 VH R2 R3
 = KI4A VH

 = K14B VH


J15 = K15 VH
J16 = k6 *VH R2 R3
J17A = K17A OM

J17B = K17B OM
J18 = k18 VH R2 R3
J9 = k9 Vw RI*R4
J20 =k20 TB R4
J21 = k2 TB R4

Remainders:
R1 = Js /(1 + ((ko TB TN)+ (kl Vw R4)))
R2 = RI /(1 + (k2 VH R3))
R3 = (JN + J7 + J17B)/ (1 + (k18 VH R2))
R4 = R3 / (1 + ((k19 Vw RI) + (k20 TB)))


0.50
0.25
3.22
0.13


Sunlight available to herbaceous vines.
Albedo or unused sunlight.
Nutrients available to woody vines and trees.
Nutrients present in runoff and leaching.


0.000 Removal of woody vine biomass through human interventions.
11.200 Production of herbaceous vine biomass.
7.280 Herbaceous vine litter.
 Herbaceous vine biomass litter after preliminary
 7.280 decomposition.
 Removal of herbaceous vine biomass through human
 0.000 interventions.
 1.400 Active respiration of herbaceous vine biomass.
 12.526 Recycle of nutrients in a plant available form.
 Further breakdown of nutrients (ex. loss as gas exchange,
 0.351 leaching, etc.)
 0.265 Nutrient flow available to herbaceous vines.
 0.579 Nutrient flow available to woody vines.
 2.509 Nutrient flow available to trees.
 0.010 Tree biomass enhancing nutrient uptake in trees.