David R. Brillinger
Statistics Department,University of California,Berkeley, CA 94720, U.S.A
brill@stat.berkeley.edu

This work presents an EDA of the trajectories of deer and elk moving about in the Starkey Experimental Forest and Range in Eastern Oregon. The animals' movements may be affected by explanatory variables such as the locations of fences, of roads, of cover, of water, of forage and other habitat characteristics. Wildlife biologists are interested in describing their movements and in particular how their movements relate to such explanatories as those listed and to the locations of other animals. In the work of this paper a stochastic differential equation based model is developed in successive stages. Equations of motion are set down motivated by corresponding equations of physics. Functional parameters appearing in the equations are estimated nonparametrically. Residuals are obtained used to look for dependence amongst the movements of the animals. There are exploratory analyses of various sorts. Statistical inferences are based on Fourier transforms of the data. The sections of the talk will begin with quotes from John W. Tukey's writings. (This work is joint with A. A. Ager, J. G. Kie and H. K. Preisler of the US Forest Service.)