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    Height-diameter model forms in earlier published papers are examined. The selection criteria used in height-diameter model forms are not reasonable when considering tree biological growth pattern. During model selection, forms for height-diameter relationships should include consideration of both data-related and reasonable biological criteria, not just data-related criteria. A reasonable model form should possess the S- shaped functional roperties of monotonic increment (dy/dt > 0), 9 inflection point (d2y/dt2 == 0), and asymptotical value y®asymptote as t®¥), rather than the concave shaped, functional properties. The S-shaped models are best when appropriate data are collected (data sets containing early growth). The Bertalanffy-Richards and Schnute functions are recommended for modeling height-diameter relationships, and an example contrasts the fit of the sigmoidal Schnute function against the concave Meyer function.

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    Yuancai, Lei; Parresol, Bernard R. 2001. Remarks on Height-Diameter Modeling. Res. Note SE-10. Asheville, NC: U.S. Department of Agriculture, Forest Service, Southeastern Forest Experiment Station. 8 p.


    height-diameter, model form, Schnute function, selection criteria, sigmoid growth

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