© 1991 Heron Publishing—Victoria, Canada
Analytical model of carbon storage in the trees, soils, and wood products of managed forests
Roderick C. Dewar
Institute of Terrestrial Ecology, Bush Estate, Penicuik, Midlothian EH26 0QB, U.K. / Received July 25, 1990
Summary
The carbon balance between managed forests and the atmosphere depends critically on the frequency and intensity of harvesting,
and the lifetime of harvested products. To assess more quantitatively the nature of this dependence, a theoretical analysis,
previously applied to carbon storage in trees and wood products only, is extended here to include the carbon in forest floor
detritus and soil.
A dimensionless combination of the parameters of the model, α, with critical value αc, is identified such that for α < αc, the conversion of old-growth forest to managed forest releases carbon to the atmosphere in the long term. Parameter α is
given by the combination ftD/T*, where ft is the fraction of old-growth forest carbon stored in trees, D is the residence time of harvested biomass (wood products and slash debris) within the system, and T* is the rotation period for maximum sustained yield (maximum mean annual increment). The critical value αc, typically in the range 0.5–0.7, is derived for a variety of forest types. Parameter α determines the degree to which the
carbon accumulated in harvested biomass offsets the loss of carbon in trees due to felling and in soils due to reduced litter
input. When α > αc, long-term carbon storage is optimized by harvesting for maximum sustained yield.
