Sa. Zhang et al., CONSTRAINING INDIVIDUAL TREE DIAMETER INCREMENT AND SURVIVAL MODELS FOR LOBLOLLY-PINE PLANTATIONS, Forest science, 42(3), 1997, pp. 414-423
Among extant forest growth and yield models, individual tree growth mo
dels provide the most detailed information, which is useful for intens
ive forest management. However, individual tree growth models may be i
naccurate for stand-level predictions because of the cumulative error
resulting from individual tree predictions. This paper is aimed at dev
eloping a method to ensure that individual tree growth models not only
provide precise individual tree predictions but also give precise sta
nd-level estimation. Based on the conceptual relationships between bas
al area of each diameter class and the diameter increment of trees in
the same diameter class, a constrained regression equation system is p
roposed. The same approach is also applied to modeling individual tree
survival probability. An algorithm for estimating multiresponse regre
ssions was developed. Results using data from unthinned loblolly pine
(Pinus taeda L.) plantations show that the simultaneous equation syste
m provides nearly the same individual tree diameter increment estimate
s as the unconstrained model but better estimates for basal area of ea
ch diameter class and for total stand basal area. The potential for im
proving stand mortality estimation with a constrained individual tree
survival model where there is little mortality in the data is limited.