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Aggregation and a strong Allee effect in a cooperative outbreak insect

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dc.contributor.authorGoodsman, Devin W.
dc.contributor.authorKoch, Daniel
dc.contributor.authorWhitehouse, Caroline
dc.contributor.authorEvenden, Maya L.
dc.contributor.authorCooke, Barry J.
dc.contributor.authorLewis, Mark A.
dc.date.accessioned2025-05-01T12:30:53Z
dc.date.available2025-05-01T12:30:53Z
dc.date.issued2016-01-01
dc.descriptionWe investigate the inside dynamics of solutions to integrodifference equations to understand the genetic consequences of a population with nonoverlapping generations undergoing range expansion. To obtain the inside dynamics, we decompose the solution into neutral genetic components. The inside dynamics are given by the spatiotemporal evolution of the neutral genetic components. We consider thin-tailed dispersal kernels and a variety of per capita growth rate functions to classify the traveling wave solutions as either pushed or pulled fronts. We find that pulled fronts are synonymous with the founder effect in population genetics. Adding overcompensation to the dynamics of these fronts has no impact on genetic diversity in the expanding population. However, growth functions with a strong Allee effect cause the traveling wave solution to be a pushed front preserving the genetic variation in the population. In this case, the contribution of each neutral fraction can be computed by a simple formula dependent on the initial distribution of the neutral fractions, the traveling wave solution, and the asymptotic spreading speed.
dc.identifier.doihttps://doi.org/10.7939/r3-gp13-9539
dc.language.isoen
dc.relationhttps://doi.org/10.1002/eap.1404
dc.relation.isversionofGoodsman, D. W., Koch, D., Whitehouse, C., Evenden, M. L., Cooke, B. J., & Lewis, M. A. (2016). Aggregation and a strong Allee effect in a cooperative outbreak insect. Ecological Applications, 79(4), 828-852. https://doi.org/10.1002/eap.1404
dc.rights© Society for Mathematical Biology 2017
dc.subjectAllee Effect
dc.subjectTraveling Wave
dc.subjectFounder Effect
dc.subjectIntegrodifference Equations
dc.subjectNeutral Genetic Diversity
dc.subjectRange Expansion
dc.titleAggregation and a strong Allee effect in a cooperative outbreak insect
dc.typehttp://purl.org/coar/resource_type/c_6501 http://purl.org/coar/version/c_970fb48d4fbd8a85
ual.jupiterAccesshttp://terms.library.ualberta.ca/public

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