A model for Arctic Charr populations in Cambridge Bay considering fluctuating environment

dc.contributor.authorPasban Roozbahani, Negin
dc.contributor.examiningcommitteePortet, Stéphanie (Mathematics) Gillis, Darren (Biological Sciences)en_US
dc.contributor.supervisorArino, Julien (Mathematics) Kirkland, Stephen (Mathematics)en_US
dc.date.accessioned2017-09-07T16:52:57Z
dc.date.available2017-09-07T16:52:57Z
dc.date.issued2017
dc.degree.disciplineMathematicsen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractThe 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.description.noteOctober 2017en_US
dc.identifier.urihttp://hdl.handle.net/1993/32496
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectArctic Charr, Multi structural population model, Fluctuating environment, Markov chain, Ergodicityen_US
dc.titleA model for Arctic Charr populations in Cambridge Bay considering fluctuating environmenten_US
dc.typemaster thesisen_US
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