Computational and Analytic Perspectives on the Drift Paradox

dc.contributor.author

Pasour, VB

dc.contributor.author

Ellner, SP

dc.date.accessioned

2011-06-21T17:27:53Z

dc.date.available

2011-06-21T17:27:53Z

dc.date.issued

2010

dc.description.abstract

The fact that many small aquatic and marine organisms manage to persist in their native environments in the presence of constant advection into unfavorable habitat is known as the "drift paradox." Although advection may determine large scale biological patterns, individual behavior such as predation or vertical/horizontal migration can dominate at smaller scales. Using both computational and analytical methods to model flow in an idealized channel, we explore the extent to which biological processes can counteract physical drivers. In particular, we investigate how different zooplankton migration behaviors affect biological retention time under a variety of flow regimes and whether a combination of physical/biological regimes exists that can resolve the drift paradox, i.e., allow the zooplankton to avoid washout for time periods much greater than the hydrologic retention time. The computational model is a three-dimensional semi-implicit hydrodynamic model which is coupled with an individual-based model for zooplankton behavior, while the analytical model is a simple partial differential equation containing both advective and behavioral components. The only behavior exhibited by the zooplankton is diel vertical migration. Our studies show that the interaction of zooplankton behavior and exchange flow can significantly influence zooplankton residence time. For a channel without vegetation, the analytical methods give biological residence times that vary by at most a day from the computational results.

dc.description.version

Version of Record

dc.identifier.citation

Pasour,V. B.;Ellner,S. P.. 2010. Computational and Analytic Perspectives on the Drift Paradox. Siam Journal on Applied Dynamical Systems 9(2): 333-U67.

dc.identifier.issn

1536-0040

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https://hdl.handle.net/10161/4312

dc.language.iso

en_US

dc.publisher

Society for Industrial & Applied Mathematics (SIAM)

dc.relation.isversionof

10.1137/09075500X

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Siam Journal on Applied Dynamical Systems

dc.subject

population dynamics

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hydrodynamics

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individual-based model

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particle tracking

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residence time

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advection-diffusion equation

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vertical migration

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field experiments

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flow refugia

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stream

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retention

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model

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lake

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persistence

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patchiness

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estuaries

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mathematics, applied

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physics, mathematical

dc.title

Computational and Analytic Perspectives on the Drift Paradox

dc.title.alternative
dc.type

Other article

duke.date.pubdate

2010-00-00

duke.description.issue

2

duke.description.volume

9

pubs.begin-page

333

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