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Fitting Bole-Volume Equations To Spatially Correlated Within-Tree Data, Timothy G. Gregoire, Oliver Schabenberger

Conference on Applied Statistics in Agriculture

Equations to predict the volume of an individual tree bole between stump height and the height at which its diameter has tapered to a specified minimum are common in forestry. When fitting such a regression equation, a sample of trees which span the range of sizes needed for eventual application of the equation is selected. Bole diameter is measured at ascending heights on the bole. Each tree, therefore, contributes multiple measurements to the data fitted to the equation. In contrast to past practice, we model these data in a manner which accounts for the likely spatial correlation among measurements within …