Much work has been done fitting taper equations to specific tree bole
shapes, but few researchers have investigated what effect the correlat
ed error structure has on the fit of a taper equation. The Max and Bur
khart (1976) taper equation was used in conjunction with a number of e
quations which modeled the covariance structures. The equations propos
ed were continuously differentiable, which simplifies the fitting proc
ess, and selected to minimize the number of parameters. A maximum like
lihood method was proposed to fit these equations and test the statist
ical significance of the correlated errors. Accounting for the correla
ted errors structure in the equation fitting process significantly imp
roved fit. Tests showed a small, but significant, bias of 1.05% (+/- 0
.143%) when the correlated errors were ignored.