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Topological Characterization of Extinction in a Coupled Ricker Patch Model
Holman, Benjamin Robert
Holman, Benjamin Robert
Abstract
Ecologists use Ricker patch models to study meta-population dynamics for populations undergoing growth and dispersal in a patchy environment. This project uses a modified model in which patch-wise extinction thresholds are used to model local extinction events. Computational homology is used to measure shifts in spatial patterns as extinction occurs and to quantify the ways in which dispersal rates affect pattern formation and degradation. Numerical simulations for certain parameters exhibit a decoupling of the system into small regions with periodic dynamics prior to extinction. Lastly, the existence of certain stable periodic orbits which affect population robustness are rigorously proven to exist.
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Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.
Date
2011-05-12
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Keywords
Computational Homology, Meta population, Ricker, Coupled Patch Model, Computational Topology, Spatial chaos
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Department
Mathematics