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


    The fundamental validity of the self-thinning "law" has been debated over the last three decades. A long-sanding concern centers on how to objectively select data points for fitting the self-thinning line and the most appropriate regression method for estimating the two coefficients. Using data from an even-aged Pinus strobus L. stand as an example, we show that quantile regression (QR), deterministic frontier function (DFF), and stochastic frontier function (SFF) methods have the potential to produce an upper limiting boundary line above all plots for the maximum size-density relationship, without subjectively selecting a subset of data points based on predefined criteria.

    Publication Notes

    • Check the Northern Research Station web site to request a printed copy of this publication.
    • Our on-line publications are scanned and captured using Adobe Acrobat.
    • During the capture process some typographical errors may occur.
    • Please contact Sharon Hobrla, if you notice any errors which make this publication unusable.
    • 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.


    Zhang, Lianjun; Bi, Huiquan; Gove, Jeffrey H.; Heath, Linda S. 2005. A comparison of alternative methods for estimating the self-thinning boundary line. Canadian Journal of Forest Research. 35: 1507-1514.

    Related Search

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