Integrodifference models for persistence in temporally varying river environments
To fully understand population persistence in river ecosystems, it is necessary to consider the effect of the water flow, which varies tremendously with seasonal fluctuations of water runoff and snow melt. In this paper, we study integrodifference models for growth and dispersal in the presence of a...
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| Format: | Online |
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Springer Berlin Heidelberg
2014
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4289536/ |
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pubmed-42895362015-01-15 Integrodifference models for persistence in temporally varying river environments Jacobsen, Jon Jin, Yu Lewis, Mark A. Article To fully understand population persistence in river ecosystems, it is necessary to consider the effect of the water flow, which varies tremendously with seasonal fluctuations of water runoff and snow melt. In this paper, we study integrodifference models for growth and dispersal in the presence of advective flow with both periodic (alternating) and random kernel parameters. For the alternating kernel model, we obtain the principal eigenvalue of the linearization operator to determine population persistence and derive a boundary value problem to calculate it. For the random model, we establish two persistence metrics: a generalized spectral radius and the asymptotic growth rate, which are mathematically equivalent but can be understood differently, to determine population persistence or extinction. The theoretical framework and methods for calculations are provided, and the framework is applied to calculating persistence in highly variable river environments. Springer Berlin Heidelberg 2014-03-14 2015 /pmc/articles/PMC4289536/ /pubmed/24627231 http://dx.doi.org/10.1007/s00285-014-0774-y Text en © The Author(s) 2014 Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Jacobsen, Jon Jin, Yu Lewis, Mark A. |
| spellingShingle |
Jacobsen, Jon Jin, Yu Lewis, Mark A. Integrodifference models for persistence in temporally varying river environments |
| author_facet |
Jacobsen, Jon Jin, Yu Lewis, Mark A. |
| author_sort |
Jacobsen, Jon |
| title |
Integrodifference models for persistence in temporally varying river environments |
| title_short |
Integrodifference models for persistence in temporally varying river environments |
| title_full |
Integrodifference models for persistence in temporally varying river environments |
| title_fullStr |
Integrodifference models for persistence in temporally varying river environments |
| title_full_unstemmed |
Integrodifference models for persistence in temporally varying river environments |
| title_sort |
integrodifference models for persistence in temporally varying river environments |
| description |
To fully understand population persistence in river ecosystems, it is necessary to consider the effect of the water flow, which varies tremendously with seasonal fluctuations of water runoff and snow melt. In this paper, we study integrodifference models for growth and dispersal in the presence of advective flow with both periodic (alternating) and random kernel parameters. For the alternating kernel model, we obtain the principal eigenvalue of the linearization operator to determine population persistence and derive a boundary value problem to calculate it. For the random model, we establish two persistence metrics: a generalized spectral radius and the asymptotic growth rate, which are mathematically equivalent but can be understood differently, to determine population persistence or extinction. The theoretical framework and methods for calculations are provided, and the framework is applied to calculating persistence in highly variable river environments. |
| publisher |
Springer Berlin Heidelberg |
| publishDate |
2014 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4289536/ |
| _version_ |
1613175134159372288 |