Abstract:

A group of equations relating stand mean attributes to stand diameter cumulative distribution has been developed which can be used to build relations among whole stand model, size class model, and distance-independent individual tree model. These equations can be used to allocate stand gross basal area growth to each individual tree. Parameters in diameter growth and mortality models can be recovered using these equations and based on arithmetic mean diameter and quadratic mean diameter, therefore the compatibility between estimations from stand model, size class model, and individual tree model are guaranteed. An error function in the group is used to describe diffrentiation process of trees with the same diameter at initial stage and it has been proved that estimated diameter range will be smaller than the real one if such an error function is ingnored. Introducing this error function into the models improves the models' accuracy in predicting diameter distribution. An example is given to show the models' applicability.

Key words: Growth model, Integration, Parameter estimation, Diameter distribution