@article {Broad:1995:0015-749X:157,
title = "Derivative Based Methods for Constructing Volume-Ratio and Taper Equations",
journal = "Forest Science",
parent_itemid = "infobike://saf/fs",
publishercode ="saf",
year = "1995",
volume = "41",
number = "1",
publication date ="1995-02-01T00:00:00",
pages = "157-167",
itemtype = "ARTICLE",
issn = "0015-749X",
url = "https://www.ingentaconnect.com/content/saf/fs/1995/00000041/00000001/art00012",
author = "Broad, L. R. and Wake, G. C.",
abstract = "Methods for the construction of volume-ratio and taper functions based on taper derivatives are examined. Using such an approach, the modeler is required to specify the functional form of the second or third taper derivative. The use of differential equation techniques gives an integral expression for taper or volume ratio. The compatibility requirements, that diameter at tree tip be zero and that it satisfy the diameter at breast height measurement, can be met by imposing boundary conditions. Similarly, in a volume-ratio system, the requirements of zero at tree tip and unity at tree base, are formulated as boundary conditions. The duality between volume-ratio and taper allows the development of taper equations from volume-ratio equations. A parameter estimation procedure that uses iteratively reweighted least squares is described. For Sci. 41(1):157-167.",
}