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Derivative Based Methods for Constructing Volume-Ratio and Taper Equations

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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.

Document Type: Journal Article

Affiliations: Massey University, Palmerston North, N.Z.

Publication date: 1995-02-01

More about this publication?
  • Forest Science is a peer-reviewed journal publishing fundamental and applied research that explores all aspects of natural and social sciences as they apply to the function and management of the forested ecosystems of the world. Topics include silviculture, forest management, biometrics, economics, entomology & pathology, fire & fuels management, forest ecology, genetics & tree improvement, geospatial technologies, harvesting & utilization, landscape ecology, operations research, forest policy, physiology, recreation, social sciences, soils & hydrology, and wildlife management.
    Forest Science is published bimonthly in February, April, June, August, October, and December.

    2015 2016 Impact Factor: 1.782 (Rank 17/64 in forestry)

    Average time from submission to first decision: 62.5 days*
    June 1, 2016 to Feb. 28, 2017

    Also published by SAF:
    Journal of Forestry
    Other SAF Publications
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