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A practical Algorithm for the Computation of Tree Felling Times

journal contribution
posted on 2023-05-16, 23:12 authored by Damien HollowayDamien Holloway
© 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.

History

Publication title

ANZIAM Journal

Volume

49

Pagination

C526-C540

ISSN

1446-8735

Department/School

School of Engineering

Publisher

Australian Mathematics Society

Place of publication

Australia

Repository Status

  • Restricted

Socio-economic Objectives

Forestry not elsewhere classified

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