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dc.contributor.supervisor Arino, Julien (Mathematics) Kirkland, Stephen (Mathematics) en_US
dc.contributor.author Pasban Roozbahani, Negin
dc.date.accessioned 2017-09-07T16:52:57Z
dc.date.available 2017-09-07T16:52:57Z
dc.date.issued 2017
dc.identifier.uri http://hdl.handle.net/1993/32496
dc.description.abstract The research focus in this thesis is twofold. First, we formulate an age- and stage-structured discrete-time matrix population model to describe the behaviour of an Arctic Charr population. Given the properties of the model, a weak ergodic behaviour is expected in the long run. Then, utilizing data collected in Cambridge Bay and using a generalized weighted least squares method, model parameters are estimated. The results of estimated parameters and a sensitivity analysis reveal the importance of early-ages individuals in the limiting behaviour of the population. Second, we investigate how the fitness of such a population might change in a fluctuating environment. We assume three types of yearly environments; good, intermediate and bad. A discrete time Markov chain governs the transitions between environmental states. The results in this step also suggest a weak ergodic behaviour for the population; a stochastic growth rate is provided for the population in this fluctuating environment. en_US
dc.subject Arctic Charr, Multi structural population model, Fluctuating environment, Markov chain, Ergodicity en_US
dc.title A model for Arctic Charr populations in Cambridge Bay considering fluctuating environment en_US
dc.degree.discipline Mathematics en_US
dc.contributor.examiningcommittee Portet, Stéphanie (Mathematics) Gillis, Darren (Biological Sciences) en_US
dc.degree.level Master of Science (M.Sc.) en_US
dc.description.note October 2017 en_US


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