{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T13:31:01Z","timestamp":1787232661804,"version":"build-2736575974"},"reference-count":50,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Dyn. Syst."],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>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 \u201cdrift paradox.\u201d 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.<\/jats:p>","DOI":"10.1137\/09075500x","type":"journal-article","created":{"date-parts":[[2010,4,30]],"date-time":"2010-04-30T18:30:59Z","timestamp":1272652259000},"page":"333-356","source":"Crossref","is-referenced-by-count":6,"title":["Computational and Analytic Perspectives on the Drift Paradox"],"prefix":"10.1137","volume":"9","author":[{"given":"V. B.","family":"Pasour","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"S. P.","family":"Ellner","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,4,30]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.2307\/1941697"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112068000133"},{"key":"R3","doi-asserted-by":"crossref","unstructured":"H. Burchard,\n                      Applied Turbulence Modelling in Marine Waters\n                      , Lecture Notes in Earth Sci. 100, Springer, Berlin, 2002.","DOI":"10.1007\/3-540-45419-5"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1006\/ecss.1996.0217"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.4319\/lo.1990.35.7.1631"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1006\/ecss.1993.1044"},{"key":"R7","unstructured":"R. Doyle-Morin,\n                      personal communication\n                      , Cornell University, Ithaca, NY, 2006."},{"key":"R8","unstructured":"D. W. Dunsbergen and G. S. Stelling,\n                      A\n                      3\n                      -D Particle Model for Transport Problems in Transformed Coordinates\n                      , Tech. Report 93-7, Delft University of Technology, Department of Civil Engineering, Hydraulic and Geotechnical Engineering Division, Hydromechanics Group, Delft, Netherlands, 1993."},{"key":"R9","unstructured":"H. B. Fischer, E. J. List, R. Koh, J. Imberger, and N. 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Hunter,\n                      The application of Lagrangian particle-tracking techniques to modelling of dispersion in the sea\n                      , in Numerical Modelling: Applications to Marine Systems, J. Noye, ed., Elsevier Sciences, North\u2013Holland, Amsterdam, 1987, pp. 257\u2013269.","DOI":"10.1016\/S0304-0208(08)70037-9"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1029\/94JC02257"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1029\/94WR01880"},{"key":"R19","unstructured":"W. Lampert, U. Sommer, and J. F. Haney,\n                      Limnoecology: The Ecology of Lakes and Streams\n                      , Oxford University Press, New York, 1997."},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1046\/j.1365-2656.2000.00407.x"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1139\/f93-187"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.2307\/1467619"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139904440400"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1046\/j.1365-2427.1998.00352.x"},{"key":"R25","unstructured":"K. Mueller,\n                      Investigations on the Organic Drift in North Swedish Streams\n                      , Tech. 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Smith,\n                      A Three-Dimensional, Finite-Difference Model for Estuarine Circulation\n                      , Ph.D. thesis, Department of Civil and Environmental Engineering, University of California, Davis, Davis, CA, 1997."},{"key":"R38","doi-asserted-by":"publisher","DOI":"10.1890\/0012-9658(2001)082[1219:PPIRAE]2.0.CO;2"},{"key":"R39","doi-asserted-by":"publisher","DOI":"10.1002\/fld.1132"},{"key":"R40","doi-asserted-by":"publisher","DOI":"10.1093\/plankt\/19.9.1265"},{"key":"R41","unstructured":"R. D. C. Team,\n                      R: A Language and Environment for Statistical Computing\n                      , Technical report, R Foundation for Statistical Computing, Vienna, Austria, 2006."},{"key":"R42","doi-asserted-by":"publisher","DOI":"10.1029\/WR026i010p02541"},{"key":"R43","doi-asserted-by":"crossref","unstructured":"I. 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