Integrodifference Models for Persistence in Temporally Varying River Environments

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dc.contributor.authorJon Jacobsen
dc.contributor.authorYu Jin
dc.contributor.authorMark A. Lewis
dc.date.accessioned2025-05-01T22:20:57Z
dc.date.available2025-05-01T22:20:57Z
dc.date.issued2015-01-01
dc.descriptionTo fully understand population persistence in river ecosystems, it is neces- sary 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 peri- odic (alternating) and random kernel parameters. For the alternating kernel model, we obtain the principal eigenvalue of the linearization operator to determine popula- tion 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 frame- work and methods for calculations are provided, and the framework is applied to calculating persistence in highly variable river environments.
dc.identifier.doihttps://doi.org/10.7939/r3-ggyx-mf04
dc.language.isoen
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.subjectpersistence
dc.subjecttime-varying environment
dc.subjectIntegrodifference
dc.subjectrandom advection kernels
dc.titleIntegrodifference Models for Persistence in Temporally Varying River Environments
dc.typehttp://purl.org/coar/resource_type/c_6501 http://purl.org/coar/version/c_b1a7d7d4d402bcce http://purl.org/coar/version/c_71e4c1898caa6e32
ual.jupiterAccesshttp://terms.library.ualberta.ca/public

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