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Mount Usu / Sarobetsu postmined peatland
From left: Crater basin in 1986 and 2006. Cottongrass / Daylily
HOME > Lecture catalog / Research summary > Glossary > Growth
[ photosynthesis  productivity  allometry  related to chemistry ]

Growth analysisPolynomial regression (Orloci & Kenkel 1987)fw(T) = lnW = a + b1T + b2T^{2} ··· (1) where W = the leaf area (LA) or sededling weight for a seed size class
T = the time at which the measurement is taken f'w(T) = dW/dt = b1 + b2T × 2 ··· (2) here, b1: intercept of relative growth rate 
b2: slope of the relative growth rate ∴ Tmax = b1/(2b2) 
Productivity (生産力)Gross primary productivity, GPP= energy (or carbon) fixed via photosynthesis per unit time Net primary productivity, NPP
= GPP  energy (or carbon) lost via respiration per unit time
ΔB = biomass change in the community between time 1 (t1) and time 2 (t2) = B2  B1 Net biome productivity, NBP = NEP  loss due to disturbances 
allometry = allo (different) + metric (measure) isometry = iso (same) + metric (measure) relationships between two growth parameters ← study to define the relationship between size and shape y = αx^{β} ← logy = logα + βlogx
β: coefficient of relative growth (相対成長係数) 
Differentiated by t 1/y·(dy/dt) = β·1/x·(dx/dt) (Huxley 1932)
Ex. Relative daiameter growth rate, RDGR (Harper 1977) D1, D2: diameters at time 1 and 2, respectively Isometry (等成長, アイソメトリー)Geometrically similar objects exhibit what is called isometric scaling; the relationships between surface area, volume, and length. Ex. the relationships between surface area, volume and length 