A comparison of alternative methods for estimating the self-thinning boundary line
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Canadian Journal of Forest Research. 35: 1507-1514.
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.
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.