Allometry
allometry = allo (different) + metric (measure)
isometry = iso (same) + metric (measure)
Allometry
relationships between two growth parameters → study to define the relationship between size and shape
y = αxβ ⇒ logy = logα + βlogx
(b: coefficient of relative growth)
If this equation is found between the two parameters, we call that allometric relationship.
t = 0 → α = y0/x0β
Differentiated by t
1/y·(dy/dt) = β·1/x·(dx/dt) (Huxley 1932)
Isometry
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
References
- Akasaka, M. & Tsuyuzaki, S. 2005. Tree seedling performance on microhabitats along an elevational gradient on Mount Koma, Japan. Journal of Vegetation Science 16: 647-654
- Ecology and global warming (地球温暖化生態学特論)
- Huxley J. 1932. Problems of relative growth. [Johns Hopkins Univ Press., Reprint version, 1993]