Provider: ingentaconnect
Database: ingentaconnect
Content: application/x-research-info-systems
TY - ABST
AU - Lynch, Thomas B.
AU - Zhang, Difei
TI - On Relative Maxima of Diameter Growth, Basal Area Growth, Volume Growth, and Mean Annual Increment for Individual Trees
JO - Forest Science
PY - 2011-08-01T00:00:00///
VL - 57
IS - 4
SP - 353
EP - 358
KW - differential
KW - growth rate
N2 - A mathematical demonstration for the fact that maximum individual tree diameter growth occurs at an earlier age than maximum individual tree basal area growth is reviewed. This demonstration assumes that the growth functions are continuous, are twice differentiable with respect to age,
and increase monotonically to one maximum, thereafter to decline monotonically. The relationship of the age of maximum individual tree volume growth to the age of basal area growth is also discussed. Mathematical demonstrations are given for the fact that the culmination of mean annual increment
occurs earlier for diameter than for basal area, and results on age of maximum growth and mean annual increment are also given for arbitrary power functions in diameter.
UR - http://www.ingentaconnect.com/content/saf/fs/2011/00000057/00000004/art00009
ER -