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Activity Number: 251
Type: Contributed
Date/Time: Monday, July 30, 2012 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #305213
Title: When Should a Tree Be Harvested?
Author(s): Anders Muszta*+
Companies: Swedish University of Agricultural Sciences
Address: Skogsmarksgrand, Umea, _, 901 83, Sweden
Keywords: stochastic differential equation ; tree ; growth rings ; maximum process

We propose a model for growth rings of a single tree, resting on two premises: the ring diameter is bounded and increases.

A simple way of satisfying these premises is to model the diameter as the running maximum of a bounded stochastic differential equation. If we require the stochastic differential equation to be reducible, then we obtain a bijective map of the diameter dynamics to the dynamics of a one-dimensional Ornstein-Uhlenbeck process. This strictly monotone map allows for a law of the iterated logarithm to be obtained, which can assist in deciding when the tree should be harvested.

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