eCite Digital Repository

A practical Algorithm for the Computation of Tree Felling Times


Holloway, DS, A practical Algorithm for the Computation of Tree Felling Times, ANZIAM Journal, 49 pp. C526-C540. ISSN 1446-8735 (2008) [Refereed Article]


© Austral. Mathematical Soc. 2008. The time taken for a tree to fall when felled can be expressed in closed form in terms of elliptic integrals. However, this form of the solution is of limited practical use to the non-mathematician. A straight-forward numerical method is presented that can be programmed into a spreadsheet in a few lines without requiring any high level programming or mathematical skills. Good accuracy for practical purposes is obtained without any iteration, but accuracy is further improved with two or three iterations, each involving only one or two extra cells in the spreadsheet. Results are compared with the analytic solution. This article demonstrates how a challenging real problem is accurately solved numerically with basic office tools and limited mathematics.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Numerical and computational mathematics
Research Field:Numerical solution of differential and integral equations
Objective Division:Plant Production and Plant Primary Products
Objective Group:Forestry
Objective Field:Forestry not elsewhere classified
UTAS Author:Holloway, DS (Associate Professor Damien Holloway)
ID Code:55294
Year Published:2008
Deposited By:Engineering
Deposited On:2009-03-08
Last Modified:2015-02-25

Repository Staff Only: item control page