Sampling rate effects on measurements of correlated and biased random walks

Codling, E.A. and Hill, N.A. (2005) Sampling rate effects on measurements of correlated and biased random walks. Journal of Theoretical Biology, 233(4), pp. 573-588. (doi:10.1016/j.jtbi.2004.11.008)

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Publisher's URL: http://dx.doi.org/10.1016/j.jtbi.2004.11.008

Abstract

When observing the two-dimensional movement of animals or microorganisms, it is usually necessary to impose a fixed sampling rate, so that observations are made at certain fixed intervals of time and the trajectory is split into a set of discrete steps. A sampling rate that is too small will result in information about the original path and correlation being lost. If random walk models are to be used to predict movement patterns or to estimate parameters to be used in continuum models, then it is essential to be able to quantify and understand the effect of the sampling rate imposed by the observer on real trajectories. We use a velocity jump process with a realistic reorientation model to simulate correlated and biased random walks and investigate the effect of sampling rate on the observed angular deviation, apparent speed and mean turning angle. We discuss a method of estimating the values of the reorientation parameters used in the original random walk from the rediscretized data that assumes a linear relation between sampling time step and the parameter values.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Hill, Professor Nicholas
Authors: Codling, E.A., and Hill, N.A.
Subjects:Q Science > QA Mathematics
Q Science > QH Natural history > QH301 Biology
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Theoretical Biology
ISSN:0022-5193
ISSN (Online):1095-8541
Published Online:15 December 2004

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