{"id":{"repo_id":"manitoba","oai_identifier":"oai:mspace.lib.umanitoba.ca:1993/32496"},"canonical_url":"https://search.dev.ndltd.org/etd/manitoba/oai:mspace.lib.umanitoba.ca:1993/32496","repository":{"repo_id":"manitoba","name":"University of Manitoba","base_url":"https://mspace.lib.umanitoba.ca/oai/request"},"display":{"title":"A model for Arctic Charr populations in Cambridge Bay considering fluctuating environment","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Pasban Roozbahani, Negin"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Arino, Julien (Mathematics) Kirkland, Stephen (Mathematics)"],"committee_chairs":[],"committee_members":[],"year":2017,"date_issued":"2017","date_published":"2017","updated_at":"2026-07-24T03:02:05Z","subjects":["Arctic Charr, Multi structural population model, Fluctuating environment, Markov chain, Ergodicity"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1993/32496","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.supervisor","label":"Supervisor","values":["Arino, Julien (Mathematics) Kirkland, Stephen (Mathematics)"]},{"key":"dc:creator","label":"Author","values":["Pasban Roozbahani, Negin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-09-07T16:52:57Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2017-09-07T16:52:57Z"]},{"key":"dc:date.issued","label":"Date","values":["2017"]},{"key":"dc:type","label":"Dc Type","values":["master thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Arctic Charr, Multi structural population model, Fluctuating environment, Markov chain, Ergodicity"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1993/32496"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["A model for Arctic Charr populations in Cambridge Bay considering fluctuating environment"]}]}],"canonical_facts":{"dc:contributor.supervisor":["Arino, Julien (Mathematics) Kirkland, Stephen (Mathematics)"],"dc:creator":["Pasban Roozbahani, Negin"],"dc:date.accessioned":["2017-09-07T16:52:57Z"],"dc:date.available":["2017-09-07T16:52:57Z"],"dc:date.issued":["2017"],"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."],"dc:identifier.uri":["http://hdl.handle.net/1993/32496"],"dc:language.iso":["eng"],"dc:subject":["Arctic Charr, Multi structural population model, Fluctuating environment, Markov chain, Ergodicity"],"dc:title":["A model for Arctic Charr populations in Cambridge Bay considering fluctuating environment"],"dc:type":["master thesis"]},"updated_at":"2026-07-24T03:02:05Z"}