Management and Maintenance of Forestry:A Catastrophic Stochastic Analysis

Authors: Shah, M.A.1; Sharma, U.2

Source: Natural Hazards, Volume 23, Number 1, January 2001 , pp. 49-64(16)

Publisher: Springer

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Abstract:

In this paper, we have carried out a detailed stochastic analysis of the Ludwig-Jones–Holling model pertaining to the occasional population burst of the spruce budworms in the coniferous forests of Canada. Our analysis explains the abrupt burst of the population in the form of cusp catastrophe. A qualitative recipe has been suggested for avoiding the catastrophe.

Keywords: Catastrophe; Fokker–Planck equation; anomalous variance; critical slowing down; diffusion approximation

Document Type: Regular Paper

Affiliations: 1: Department of Statistics, University of Rajshahi, Rajshahi-6205, Bangladesh 2: Department of Statistics and Operational Research, Kurukshetra University, Kurukshetra-132 119, India

Publication date: January 1, 2001

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