JSM 2004 - Toronto

Abstract #300365

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Activity Number: 173
Type: Invited
Date/Time: Tuesday, August 10, 2004 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics and the Environment
Abstract - #300365
Title: Stochastic Differential Equations in the Analysis of Wildlife Motion
Author(s): David Brillinger*+
Companies: University of California, Berkeley
Address: Dept. of Statistics, Berkeley, CA, 94720-3860,
Keywords: diffusion models ; nonparametric regression ; potential functions ; stochastic differential equations ; vector field ; wildlife examples
Abstract:

The concern is with the use of stochastic differential equations (SDEs) to describe the motion of wildlife. There is special consideration of the case where the drift function comes from a potential function. There is study of SDEs whose parameters are periodic in time as these are useful for incorporating circadian rhythm in the behavior. Nonparametric estimates of the drift and variance terms of an SDE model are discussed and evaluated and the fit of the model assessed. One issue is how to include explanatories, beyond location and time. Data from Hubbs Seaworld and the U.S. Forest Service's Starkey Experimental Station in Oregon are studied. The work is collaborative with researchers from those two institutions.

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Revised March 2004