Chris J. Cieszewski, Michal Zasada, Mike Strub

Second International Conference on Forest Measurements and Quantitative Methods and Management & 
The 2004 Southern Mensurationists Meeting  pp. 264 - 273 June 2004

Abstract:
I present here a proper derivation of two-point principle dynamic equations from base models belonging to the class of the exponential models represented by Chapman-Richards, Weibull, Yang, and Bailey functions. The two-point principle dynamic equation site models offer extreme flexibility in modeling self-referencing dynamics where it might be desirable and is possible to use two points of observations (typically inventory measurements) as the reference points driving the model. Furthermore, using an example of the Chapman-Richards function, I present also a second derivation of such equations, which is not recommended for operational use in derivation of two-point principle models, but may be useful in stabilizing one-point principle equations for fitting purposes when the subject equation becomes unstable due to excessive propagation of round-off errors.

Author Keywords:
Base-age invariant, two-point principle, dynamic equations, site models, site index, polymorphism with variable asymptotes.

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Addresses:
Chris J. Cieszewski, Warnell School of Forest Resources, University of Georgia, Athens, GA 30602

Michal Zasada, Warnell School of Forest Resources, University of Georgia, Athens, GA 30602 and Department of Dendrometry and Forest Productivity, Faculty of Forestry, Warsaw Agricultural University, Nowoursynowska 159, building #34, 00-776 Warsaw, Poland

Mike Strub, Warnell School of Forest Resources, University of Georgia, Athens, GA 30602 and Weyerhaeuser Company Inc., PO Box 1060, Hot Springs, AR 71902

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