Brillinger, G. R., Preisler, H. K., Ager, A. A., Kie, J. G.: The use of potential functions in modelling animal movement. In Ed. A. K. Md. E. Saleh (ed.) Data Analysis from Statistical Foundations.Nova Science, New York (2000) Home/Search Document Details and Download
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Stochastic Differential Equations: A Tool for.. - Preisler.. Self-citation (Brillinger Preisler Ager Kie) (Correct)
....dispersal patterns of soil living invertebrates. In the bark beetle example presented below Preisler and Akers [9] model the drift term as a function of the heading angle between the direction along the path of female beetles and a point source emitting male pheromones. In the second example [10] bivariate SDE s are used to study trajectories of radio collared elk and deer as they forage in a 9000 ha fenced experimental forest in Oregon. 2 Some Estimation Techniques In statistical practice one is usually interested in estimating the parameters of a process (e.g. in equation (2) given ....
....in the spring. The forest regions above are possible areas of elk hiding cover, canopy 40 . Ninety six elk tracks and 48 deer tracks observed for 30 days in the springs of three years (1993, 1995, 1996) were analyzed in this study. The analysis was done using the statistical model developed in [10]. In the analysis it was assumed that an animal moves in accordance with the bivariate stochastic differential equation ) t d t t dt t t t d B U U U = 10) Here, r(t) x(t) y(t) is the location of an animal at time t; B(t) is a bivariate Brownian process; r,t) is ....
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Brillinger, G. R., Preisler, H. K., Ager, A. A., Kie, J. G.: The use of potential functions in modelling animal movement. In Ed. A. K. Md. E. Saleh (ed.) Data Analysis from Statistical Foundations.Nova Science, New York (2000)
Simulating Constrained Animal Motion Using Stochastic.. - Brillinger Self-citation (Brillinger) (Correct)
....Oregon. The study was influenced by emerging data sets in wildlife biology. Biologists and managers wish to use these data sets to address questions such as: how to allocate resources, can di#erent species share a habitat, are changes taking place One large experiment, Starkey, is described in [6] and [23] There are technical questions arising of interest to both probabilists and statisticians. Useful tools include: di#erential equations (DE)s, stochastic di#erential equations (SDE)s, reflecting stochastic di#erential equations (RSDE)s, and potential functions The paper includes review ....
....animal s track is estimated by the curve of broken line segments, the brokedness reflecting the sampling at disparite times. The positions are estimated about every 1.5 hours. The animal keeps moving towards the fence on the southwestern side of Starkey. Details of the experiment may be found in [6]. 3 Equations of motion Di#erential equations have long been used to describe the motion of particles, see for example [12] To begin consider one particle moving in the plane. Denote its location at time t by r(t) x(t) y(t) Suppose that there is a potential field, H(r,t) Such an H controls ....
[Article contains additional citation context not shown here]
BRILLINGER, D. R., PREISLER, H. K., AGER, A.A. and KIE, J. G. (2001). The use of potential functions in modelling animal movement. Pp. 369-386 in Data Analysis from Statistical Foundations.(Ed.A.K.M.E. Saleh.) Nova, Huntington.
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