title: Prediction from an integrated regression equation: a forestry application.
abstract: Models to depict the tapering of a tree bole abound in the literature of forest science, and such models are widely used in forestry practice. One important use is the integration of a taper equation to predict the volume of the tree bole. The statistical properties of volume prediction from an integrated taper equation have been obscure. Based on the statistical characteristics of a taper model for the bole's cross-sectional area, we derive the first two moments of the volume predictor and the prediction error. Bias from the integration is nil. The importance of a reasonable model of the error structure is demonstrated.
authors.affiliation: School of Forestry and Environmental Studies, Yale University, New Haven, Connecticut 06511-2189, USA. Timothy.Gregoire@Yale.edu
authors.forename: T G
authors.initials: TG
authors.lastname: Gregoire
authors.forename: O
authors.initials: O
authors.lastname: Schabenberger
authors.forename: F
authors.initials: F
authors.lastname: Kong
mesh_terms: D001699:Biometry / Q000379:methods*; D032462:Cycadopsida; D016468:Forestry / Q000379:methods*; D015233:Models, Statistical; D012044:Regression Analysis; D014197:Trees