Data selection and methods for fitting coefficients were considered to test the self-thinning law. The Chinese fir (Cunninghamia lanceolata) in even-aged pure stands with 26 years of observation data were applied to fit Reineke's (1933) empirically derived stand density rule (N ∝ –1.605, N = numbers of stems, = mean diameter), Yoda's (1963) self-thinning law based on Euclidian geometry ( ∝ N–3/2, = tree volume), and West, Brown and Enquist's (1997, 1999) (WBE) fractal geometry ( ∝ –8/3). OLS, RMA and SFF algorithms provided observed self-thinning exponents with the seven mortality rate intervals (2%–80%, 5%–80%, 10%–80%, 15%–80%, 20%–80%, 25%–80% and 30%–80%), which were tested against the exponents, and expected by the rules considered. Hope for a consistent allometry law that ignores species-specific morphologic allometric and scale differences faded. Exponents α of N ∝ α, were significantly different from –1.605 and –2, not expected by Euclidian fractal geometry; exponents β of ∝ Nβ varied around Yoda's self-thinning slope –3/2, but was significantly different from –4/3; exponent γ of ∝ γ tended to neither 8/3 nor 3.
You have requested a machine translation of selected content from our databases. This functionality is provided solely for your convenience and is in no way intended to replace human translation. Neither BioOne nor the owners and publishers of the content make, and they explicitly disclaim, any express or implied representations or warranties of any kind, including, without limitation, representations and warranties as to the functionality of the translation feature or the accuracy or completeness of the translations.
Translations are not retained in our system. Your use of this feature and the translations is subject to all use restrictions contained in the Terms and Conditions of Use of the BioOne website.
Vol. 10 • No. 3