Provider: ingentaconnect
Database: ingentaconnect
Content: application/x-research-info-systems
TY - ABST
AU - Bailey, Robert L.
TI - Individual Tree Growth Derived from Diameter Distribution Models
JO - Forest Science
PY - 1980-12-01T00:00:00///
VL - 26
IS - 4
SP - 626
EP - 632
KW - growth and yield
KW - stand simulation
KW - Pinus taeda
KW - probability density function
N2 - Several probability density functions for statistical distributions have been used to model the distribution of tree diameters. By considering transformations of variables which preserve the functional form of the distribution, tree diameter growth models are derived. If X is the tree's diameter at the beginning of a growth period and I is the increment in diameter, then the model I = (_{0} - X) + _{1}(X - _{3})^{2} is implied by assuming the Weibull, lognormal, or generalized gamma distribution as a diameter distribution model. A special case (_{2} = 1) derived by Meyer (1952) applies when the exponential, normal, beta, or Johnson's S_{B} is assumed. Biologically the equation can be shown to state that when _{2} = 1 the relative rate of diameter growth is constant over age. With individual tree data from a spacing study of loblolly pine, _{2} = 1 was rejected. These results provide a link between tree-level growth, models and stand-level diameter distribution models. Forest Sci. 26:626-632.
UR - http://www.ingentaconnect.com/content/saf/fs/1980/00000026/00000004/art00019
ER -