GADA Derivation of Dynamic Site
Equations with Polymorphism and Variable Asymptotes from Richards, Weibull, and
other Exponential Functions
Abstract:
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, Yang, 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 80 new
GADA based dynamic equations with polymorphism and variable asymptotes, and 18
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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