Aspen Bibliography
Height Growth Modeling Using Second Order Differential Equations and the Importance of Initial Height Growth
Document Type
Article
Journal/Book Title/Conference
Forest Ecology and Management
Volume
97
Issue
2
First Page
165
Last Page
172
Publication Date
10-1997
Abstract
In a study of height growth patterns of quaking aspen (Populus tremuloides Michx.) in Minnesota, Wisconsin and Michigan, we represented the height-age pattern using a second order ordinary differential equation with environmentally governed parameters. Solving a second order differential equation that has been converted to a system of two first order equations requires knowledge of, or information on, initial conditions for both state variables, height and height growth. We used the natural boundary condition, h(t = 0) = 0. Initial conditions for the second state variable, height growth, were estimated when fitting the equations to observations. This paper reports our research to predict the initial height growth from stem analysis data, and to assess the sensitivity of predicted height to differences in initial condition estimates. We found initial height growth to be the single most important ‘parameter’ to be estimated in our model.
Recommended Citation
Leary, Rolfe A.; Nimerfro, Kevin; Holdaway, Margaret; Brand, Gary; Burk, Tom; Kolka, Randall; and Wolf, Ann, "Height Growth Modeling Using Second Order Differential Equations and the Importance of Initial Height Growth" (1997). Aspen Bibliography. Paper 1332.
https://digitalcommons.usu.edu/aspen_bib/1332