Developing a Well-Behaved Dynamic Site Equation Using a Modified Hossfeld IV Function Y3 = (axm)/(c + x m–1), a Simplified Mixed-Model and Scant Subalpine Fir Data

By Chris J. Cieszewski. Forestry sciences, 2003

102 citations recorded by the source corpus.

I developed a dynamic height growth model by using a simplified form of mixed effects modeling and subalpine fir (Abies lasiocarpa [Hook.] Nutt .) stem analysis data. The new dynamic equation uses directly heights at any age to predict consistent heights (e.g., y2 = f(t2, t1, y1) ⇔ y1 = f(t1, t2, y2)) and f(t3, t1, y1) = f(t3, t2, f(t2, t1, y1))), and therefore constitutes compatible site index and height models in one common equation. The parameters for the model were estimated by analysis of fixed and random effects with corrections for first- and second-order serial autocorrelation. The correction for second-order autocorrelation was necessary to assure the model's proper representation of the data and to remove a seeming cross-sectional autocorrelation across different sites/series. Estimating the errors in site indices as random effects eliminated the effects of stochastic predictive variables. The proposed model has outperformed all other base-age specific and base-age invariant models in both the fit to the data and in its behavior during extrapolations. It also outperforms the model (developed on amabilis fir data) that is currently, operationally used for subalpine fir. The new model's advantages are parsimony, mathematical tractability, base-age invariance, and greater consistency in curvatures of the generated height-age trajectories. FOR. SCI. 49(4):539–554.

Subfields: Geophysics, Mechanical Engineering, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/59d0b9e9357225b1669a02cc582b2214ba3c024e

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Citations in the corpus

Site quality curves for birch stands in north-western Spain (2006, methodology): “Cieszewski (2000, 2001, 2002, 2003) examined several GADA formulations using the log-logistic model as a base equation, generally expressed as Y a a u = + − 1 21 exp( ) (5) where a1 is the asymptote parameter, a2 is the half-saturation parameter that defines the value of exp(–u) at which Y(u) =…”
Site-specific height growth models for six common tree species in Denmark (2009, methodology): “The method has subsequently been used in a number of studies (e.g. Pienaar & Shiver, 1980; Amateis & Burkhart, 1985; Lenhart et al., 1986; Furnival et al., 1990) and was recently extended to a generalized form (GADA) (Cieszewski & Bailey, 2000; Cieszewski, 2001, 2003).”
Development of a basal area growth system for maritime pine in northwestern Spain using the generalized algebraic difference approach (2006, background): “…according to various theories about growth characteristics (e.g., asymptote, growth rate), thereby allowing more than one parameter to be site specific and permitting the derivation of more flexible dynamic equations (see Cieszewski and Bailey 2000; © 2006 NRC Canada Cieszewski 2001, 2002, 2003).”