Modelling animal movement as a persistent random walk in two dimensions: expected magnitude of net displacement

[1]  Geoffrey Ingram Taylor,et al.  Diffusion by Continuous Movements , 1922 .

[2]  S. Goldstein.  ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION , 1951 .

[3]  C. Patlak.  Random walk with persistence and external bias , 1953 .

[4]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[5]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[6]  F. Reif,et al.  Fundamentals of Statistical and Thermal Physics , 1965 .

[7]  R. W. Hiorns,et al.  The mathematical theory of the dynamics of biological populations : based on a conference organised by the Institute of Mathematics and Its Applications in association with the Institute of Biology , 1975 .

[8]  J. Marsden,et al.  Elementary classical analysis , 1974 .

[9]  W. H. Neill.  Mechanisms of Fish Distribution in Heterothermal Environments , 1979 .

[10]  A. Ōkubo,et al.  Di?usion and ecological problems: mathematical models , 1980 .

[11]  E. Batschelet.  Circular statistics in biology , 1981 .

[12]  Michael L. Cain,et al.  Random Search by Herbivorous Insects: A Simulation Model , 1985 .

[13]  Simon A. Levin,et al.  Mathematical Ecology: An Introduction , 1986 .

[14]  Simon A. Levin,et al.  Random Walk Models of Movement and Their Implications , 1986 .

[15]  Simon A. Levin,et al.  Ecological and Evolutionary Aspects of Dispersal , 1987 .

[16]  S. Benhamou,et al.  Spatial analysis of animals' movements using a correlated random walk model* , 1988 .

[17]  L. M. Marsh,et al.  The form and consequences of random walk movement models , 1988 .

[18]  C. McCulloch,et al.  Analyzing Discrete Movement Data as a Correlated Random Walk , 1989 .

[19]  Simon A. Levin,et al.  A Theoretical Framework for Data Analysis of Wind Dispersal of Seeds and Pollen , 1989 .

[20]  Peter Turchin,et al.  Translating Foraging Movements in Heterogeneous Environments into the Spatial Distribution of Foragers , 1991 .

[21]  Michael L. Cain.  When Do Treatment Differences in Movement Behaviors Produce Observable Differences in Long-Term Displacements? , 1991 .

[22]  John A. Wiens,et al.  Individual movements and estimation of population size in darkling beetles (Coleoptera: Tenebrionidae) , 1995 .

[23]  D. Malon,et al.  Microbial transport through heterogeneous porous media: random walk, fractal, and percolation approaches , 1996 .