Skip to Main Content
U.S. Forest Service
Caring for the land and serving people

United States Department of Agriculture

Home > Search > Publication Information

  1. Share via EmailShare on FacebookShare on LinkedInShare on Twitter
    Dislike this pubLike this pub
    Author(s): Thomas B. Lynch; Robert F. Wittwer; Douglas J. Stevenson
    Date: 2004
    Source: Gen. Tech. Rep. SRS–71. Asheville, NC: U.S. Department of Agriculture, Forest Service, Southern Research Station. pp. 226
    Publication Series: General Technical Report (GTR)
    PDF: Download Publication  (26 KB)


    Maximum size-density relationships for Reineke's stand density index as well as for a relationship based on average tree volume were fitted to data from more than a decade of annual remeasurements of plots in unthinned naturally occurring shor tleaf pine in southeaster n Oklahoma. Reineke's stand density index is based on a maximum line of the form log(N) = a + b(log(D)) where N is trees per acre, D is quadratic mean diameter, and a and b are constants. Reineke (1933) proposed a value of b = -1.6 for many tree species. However, he obtained a steeper slope for shor tleaf pine (b = -1.8). The -3/2 power law is based on a maximum line in the form log(V) = a' + b'log(N), where V is mean tree volume and a' and b' are constants. A value of -3/2 has been postulated for the slope parameter b' for many plant species (Yoda and others 1963). Drew and Flewelling (1977) applied this equation to forest populations and noted the relationship to Reineke's maximum size-density equation. Intercept values a and a' for each of the approaches are species dependent. The two maximum size-density lines were fitted to the shor tleaf pine plot data from unthinned plots in shortleaf pine natural stands. These lines can be used to calculate Reineke's stand density index and to evaluate the likelihood of competition-induced mortality for shortleaf pine forests.

    Publication Notes

    • You may send email to to request a hard copy of this publication.
    • (Please specify exactly which publication you are requesting and your mailing address.)
    • We recommend that you also print this page and attach it to the printout of the article, to retain the full citation information.
    • This article was written and prepared by U.S. Government employees on official time, and is therefore in the public domain.


    Lynch, Thomas B.; Wittwer, Robert F.; Stevenson, Douglas J. 2004. Estimation of Reineke and Volume-Based Maximum Size-Density Lines For Shortleaf Pine. Gen. Tech. Rep. SRS–71. Asheville, NC: U.S. Department of Agriculture, Forest Service, Southern Research Station. pp. 226

    Related Search

    XML: View XML
Show More
Show Fewer
Jump to Top of Page