Effects of Heterogeneity on Spread and Persistence in Rivers

作者: Frithjof Lutscher , Mark A. Lewis , Edward McCauley

DOI: 10.1007/S11538-006-9100-1

关键词: Flow velocitySpatial heterogeneityStage (hydrology)PiecewiseBoundary (topology)GeologyPersistence (discontinuity)Atmospheric sciencesBenthic zoneConstant (mathematics)Ecology

摘要: The question how aquatic populations persist in rivers when individuals are constantly lost due to downstream drift has been termed the "drift paradox." Recent modeling approaches have revealed diffusion-mediated persistence as a solution. We study logistically growing with and without benthic stage consider spatially varying growth rates. use idealized hydrodynamic equations link river cross-sectional area flow speed assume heterogeneity form of alternating patches, i.e., piecewise constant conditions. derive implicit formulae for boundary dispersion relation wave speed. explicitly discuss influence speed, on both upstream invasion

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