A model for Arctic Charr populations in Cambridge Bay considering fluctuating environment
dc.contributor.author | Pasban Roozbahani, Negin | |
dc.contributor.examiningcommittee | Portet, Stéphanie (Mathematics) Gillis, Darren (Biological Sciences) | en_US |
dc.contributor.supervisor | Arino, Julien (Mathematics) Kirkland, Stephen (Mathematics) | en_US |
dc.date.accessioned | 2017-09-07T16:52:57Z | |
dc.date.available | 2017-09-07T16:52:57Z | |
dc.date.issued | 2017 | |
dc.degree.discipline | Mathematics | en_US |
dc.degree.level | Master of Science (M.Sc.) | en_US |
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.description.note | October 2017 | en_US |
dc.identifier.uri | http://hdl.handle.net/1993/32496 | |
dc.language.iso | eng | en_US |
dc.rights | open access | 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.type | master thesis | en_US |
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