Provider: Ingenta Connect
Database: Ingenta Connect
Content: application/x-research-info-systems
TY - ABST
AU - Cieszewski, J.
TI - Analytical Site Index Solution for the Generalized Log-Logistic Height Equation
JO - Forest Science
PY - 2000-05-01T00:00:00///
VL - 46
IS - 2
SP - 291
EP - 296
KW - Analytical solutions
KW - convergent series
KW - polynomial solutions
KW - base-age invariant
KW - numerical solutions
KW - site index models
N2 - The generalized log-logistic height equation computes height as a function of age and a fixed base-age site index. This equation and its modifications have been used for many applications in various regions. It is seemingly apparent that this equation is analytically insolvable for the site index; no general analytical solution to this equation is readily available. This article presents such a solution that has proven to be valid and useful with all tested parameters. This solution is based on an adaptation of the Ramanujan's (1887-1920) solution for a trinomial with real-number exponents. Ramanujan's solution is a series that in many cases can be expressed as a closed-form equation. In the present context, this series may be used for derivations of various special cases of closed-form solutions, initial-condition difference and differential equations, and for various analytical sensitivity and trend analysis, as well as for efficient site index computations. For. Sci. 46(2):291-296
UR - http://www.ingentaconnect.com/content/saf/fs/2000/00000046/00000002/art00017
ER -