Dunn, J. E., Brisbin, I. L. Characterization of the multivariates Ornstein-Uhlenbeck diffusion process in the context of home range analysis. In Matusita, B. V. (eds.): Statistical Theory and Data Analysis, North-Holland: Elsevier (1985) 181-205  Home/Search   Document Not in Database   Summary   Related Articles   Check

....movement is a random walk independent of others. Another special case is the mean reverting OrnsteinUhlenbeck (O U) process where (Y,t, Y(t) a] and (Y,t, dt = The O U process has been used to estimate home ranges of animals where a is the center of the home range [6] [7]. More complicated animal movement behavior may be studied by modeling the drift and diffusion coefficients as functions of explanatory variables. Bengtsson et al. 8] model the drift term as a function of the distance between individuals in their attempt to characterize dispersal patterns of ....

Dunn, J. E., Brisbin, I. L. Characterization of the multivariates Ornstein-Uhlenbeck diffusion process in the context of home range analysis. In Matusita, B. V. (eds.): Statistical Theory and Data Analysis, North-Holland: Elsevier (1985) 181-205

....of second order partial derivatives taken in the two possible orders, separately for daytime and nighttime data. The final section reviews some of the merits and limitations of employing the potential function to model animal movement. References describing models for animal movement include: [6, 9, 10, 18, 27]. Reference [18] sets down deterministic differential equations (DDEs) for density functions describing the expected pattern of space use by coyotes being influenced by the accumulation and decay of scent marks, also described by DDEs. This is to be contrasted with the approach in [4, 20] where ....

....the motion. Also the stimulus, here represented by Sigma(r; t)dB(t) may have periodic properties in t. A particular case of an SDE is provided by the mean reverting Ornstein Gamma Uhlenbeck (O U) process where (r; t) A(a Gamma r(t) Sigma(r; t) Sigma 7 and the mean is a. The papers [9, 10] propose the O U process as a model for animal motion and develop maximum likelihod estimates of the parameters. The O U process becomes the random walk when A = 0, i.e. when the drift term, r; t) is 0. If A is symmetric, the potential function corresponding to an O U process is H(r; t) a ....

Dunn, J. E. and Brisbin, I. L. (1985). Characterization of the multivariate Ornstein-Uhlenbeck diffusion process in the context of home range analysis. Statistical Theory and Data Analysis. K. Matusita [ed.]. Elsevier Science Publishers B.V. North-Holland. 181-205.

....A general reference is Levin (1986) McCulloch and Cain (1989) who study swallowtails, butterflies and goldenrod may be mentioned. Dunn and Gipson (1977) modelled deer movements assuming that such data were generated by a multivariate Ornstein Uhlenbeck diffusion process (see also Dunn and Brisbin (1985). Moore (1985) and Zwiers (1985) modelled iceberg movements as vector ARIMA processes. Some authors, e.g. Hadeler et al. 1980) Niwa (1996) sought to describe animal movements by variants of Newton s equations of motion, with Niwa evaluating fish movements. Preisler and Akers (1995) employed an ....

Dunn, J. E. and Brisbin, I. L. (1985). Characterization of the multivariate Ornstein-Uhlenbeck diffusion process in the context of home range analysis. Pp. 181-205 in Statistical Theory and Data Analysis. (ed. K.

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