Download the full-sized PDF
Permanent link (DOI): https://doi.org/10.7939/R34V7C
This file is in the following communities:
|Biological Sciences, Department of|
This file is in the following collections:
|Journal Articles (Biological Sciences)|
Seasonal influences on population spread and persistence in streams: spreading speeds. Open Access
- Author or creator
Lewis, M. A.
- Additional contributors
periodic traveling waves
- Type of item
- Journal Article (Published)
The drift paradox asks how stream-dwelling organisms can persist, without being washed out, when they are continuously subject to the unidirectional stream flow. To date, mathematical analyses of the stream paradox have investigated the interplay of growth, drift and flow needed for species persistence under the assumption that the stream environment is temporally constant. However, in reality, streams are subject to major seasonal variations in environmental factors that govern population growth and dispersal. We consider the influence of such seasonal variations on the drift paradox, using a time-periodic integrodifferential equation model. We establish upstream and downstream spreading speeds under the assumption of periodically fluctuating environments, and also show the existence of periodic traveling waves. The sign of the upstream spreading speed then determines persistence. Fluctuating environments are characterized by seasonal correlations between the flow, transfer rates, diffusion and settling rates, and we investigate the effect of such correlations on the population spread and persistence. We also show how results in this paper can formally connect to those for autonomous integrodifferential equations, through the appropriate weighted averaging methods. Finally, for a specific dispersal function, we show that the upstream spreading speed is nonnegative if and only if the critical domain size exists in this temporally fluctuating environment.
- Date created
- License information
- © 2011 Springer. This version of this article is open access and can be downloaded and shared. The original author(s) and source must be cited.
- Citation for previous publication
Jin, Y., & Lewis, M. A. (2011). Seasonal influences on population spread and persistence in streams: spreading speeds. Journal of Mathematical Biology. DOI:10.1007/s00285-011-0465-x.
- Link to related item
- Date Uploaded
- Date Modified
- Audit Status
- Audits have not yet been run on this file.
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 511527
Last modified: 2015:10:12 10:20:44-06:00
Original checksum: 39c3939ec97fcf9f42d3347d3f46b857
Well formed: false
Status message: Unexpected error in findFonts java.lang.ClassCastException: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject cannot be cast to edu.harvard.hul.ois.jhove.module.pdf.PdfDictionary offset=68605
Page count: 37