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In this research we use time-delay embedding techniques and information-theory
techniques to investigate information flow in a spatially extended predator-prey
system first introduced by Pascual (1993), later studied by Little et al. (1996). Here we use a
variant on the Continuity Test (Pecora et al. 1995) for Time-Delayed Synchronization,
to see if there is information transport from one side of the gradient to the other. We also
compare these results with those from an information statistic specifically
designed to detect information flow in a dynamical system, the Transfer Entropy
(Schreiber, 2002). We show that there are some interesting contrasts between
information flow measured with transfer entropy and information flow measured
with time-delayed synchronization. We apply the results shown here
to suggestions for optimal monitoring of a predator/prey system with varying
resource gradient.
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