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