Chris J. Cieszewski

Second International Conference on Forest Measurements and Quantitative Methods and Management & 
The 2004 Southern Mensurationists Meeting  pp. 248 - 261 June 2004

Abstract:
I present here an application of the Generalized Algebraic Difference Approach to derivation of 10 new variants of dynamic site equations with polymorphism and variable asymptotes for the class of exponential models represented by Chapman-Richards, Weibull, Gompetz, Logistic, Schumaker, Yung, and Bailey functions. The models are based on three different assumptions about complexity of the interactions between the model parameters and the site productivity. These assumptions include linear, inverse linear, and quadratic relationships between two of the model parameters and the unobservable site variable X. Various special cases of those relationships lead to formulation of the specific variants of the dynamic equation site models, which offer breakthrough flexibility in modeling of the self-referencing dynamics with the exponential functions. In total this report presents 70 new GADA based dynamic equations with polymorphism and variable asymptotes, and 16 ADA-based dynamic equations that are either anamorphic or polymorphic with single asymptotes.

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

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

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