Skip to Main Content
U.S. Forest Service
Caring for the land and serving people

United States Department of Agriculture

Home > Search > Publication Information

  1. Share via EmailShare on FacebookShare on LinkedInShare on Twitter
    Dislike this pubLike this pub
    Author(s): Rolfe A. Leary; Kevin Nimerfro; Margaret Holdaway; Gary Brand; Tom Burk; Randall Kolka; Ann Wolf
    Date: 1997
    Source: Forest Ecology and Management
    Publication Series: Scientific Journal (JRNL)
    Station: Southern Research Station
    PDF: Download Publication  (516.0 KB)


    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' 10 be estimated in our model.@ 1997 Elsevier Science 8.V.

    Publication Notes

    • You may send email to to request a hard copy of this publication.
    • (Please specify exactly which publication you are requesting and your mailing address.)
    • We recommend that you also print this page and attach it to the printout of the article, to retain the full citation information.
    • This article was written and prepared by U.S. Government employees on official time, and is therefore in the public domain.


    Leary, Rolfe A.; Nimerfro, Kevin; Holdaway, Margaret; Brand, Gary; Burk, Tom; Kolka, Randall; Wolf, Ann. 1997. Height growth modeling using second order differential equations and the importance of intial height growth. Forest Ecology and Management. 97 (1997): 165-172.

    Related Search

    XML: View XML
Show More
Show Fewer
Jump to Top of Page