Sampling rate effects on measurements of correlated and biased random walks

Sampling rate effects on measurements of correlated and biased random walks
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DOI:
10.1016/j.jtbi.2004.11.008
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发表时间:
2005-04-21
影响因子:
2
通讯作者:
Hill, NA
Hill, NA
中科院分区:
生物学4区
文献类型:
--
作者:
Codling, EA;Hill, NA

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当观察动物或微生物的二维运动时,通常需要施加固定的采样率,以便在某些固定的时间间隔进行观察,并且将轨迹分成一组离散的步骤。太小的采样率将导致关于原始路径和相关性的信息丢失。如果随机游走模型是用来预测运动模式或估计参数中使用的连续模型,那么它是必不可少的,能够量化和理解的采样率施加的观察员对真实的轨迹的影响。我们使用一个速度跳跃过程与现实的重定向模型来模拟相关的和有偏见的随机游动,并调查采样率对所观察到的角偏差,表观速度和平均转弯角的影响。我们讨论了一种方法估计的重新离散化的数据,假设采样时间步长和参数值之间的线性关系的原始随机游走中使用的重定向参数的值。(c)2004爱思唯尔有限公司保留所有权利。
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. (c) 2004 Elsevier Ltd. All rights reserved.