Publication
Prediction from an integrated regression equation: A forestry application
Timothy Gregoire and 2 other contributors
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Citation
Gregoire, T. ., Schabenberger, O. ., & Kong, F. . (2000). Prediction from an integrated regression equation: A forestry application. BIOMETRICS, 56(2), 414-419. https://doi.org/10.1111/j.0006-341X.2000.00414.x (Original work published 2024)
Abstract
Models to depict the tapering of a tree hole 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 hole. 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.