Mathematical Modelling and Numerical Simulation of Marine Ecosystems With Applications to Ice Algae
Sea-ice ecosystem modelling is a novel field of research. In this thesis, the main organism studied is sea-ice algae. A basic introduction to algae and its importance in the aquatic food web is given first. An introduction to modeling and its purposes is presented, and this is followed by a brief de...
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ftunivwaterloo:oai:uwspace.uwaterloo.ca:10012/7664 2023-05-15T16:36:33+02:00 Mathematical Modelling and Numerical Simulation of Marine Ecosystems With Applications to Ice Algae Wickramage, Shyamila Iroshi Perera 2013 http://hdl.handle.net/10012/7664 en eng University of Waterloo http://hdl.handle.net/10012/7664 Mathematical Modelling Numerical Methods Ice Algae Applied Mathematics Master Thesis 2013 ftunivwaterloo 2022-06-18T22:59:45Z Sea-ice ecosystem modelling is a novel field of research. In this thesis, the main organism studied is sea-ice algae. A basic introduction to algae and its importance in the aquatic food web is given first. An introduction to modeling and its purposes is presented, and this is followed by a brief description of ice algae models in practice with some physical conditions which influence ecosystem modelling. In the following Chapter, a simple mathematical model to represent the algae population is derived, and analyzed using pseudo spectral numerical methods implemented with MATLAB. The behaviour of the algae population and the boundary layers are discussed by examining the numerical results. Perturbation and asymptotic analysis is used for further analysis of the system using Maple. In the following Chapter a Nutrient Phytoplankton Zooplankton Detritus (or NPZD) model, which is a commonly used type of model in marine ecosystem modelling, is developed based on the framework of Soetaert and Herman. The model is examined under five different experimental setups (herein we mean numerical experiments) and the results are discussed. The NPZD model implemented is compared with a well-studied model in the literature. Our model can be considered somewhat simpler than other models in the literature (though it still has a much larger parameter space than the idealized model discussed in the previous Chapter). Finally we discuss future directions for research. Master Thesis ice algae Sea ice University of Waterloo, Canada: Institutional Repository |
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Open Polar |
collection |
University of Waterloo, Canada: Institutional Repository |
op_collection_id |
ftunivwaterloo |
language |
English |
topic |
Mathematical Modelling Numerical Methods Ice Algae Applied Mathematics |
spellingShingle |
Mathematical Modelling Numerical Methods Ice Algae Applied Mathematics Wickramage, Shyamila Iroshi Perera Mathematical Modelling and Numerical Simulation of Marine Ecosystems With Applications to Ice Algae |
topic_facet |
Mathematical Modelling Numerical Methods Ice Algae Applied Mathematics |
description |
Sea-ice ecosystem modelling is a novel field of research. In this thesis, the main organism studied is sea-ice algae. A basic introduction to algae and its importance in the aquatic food web is given first. An introduction to modeling and its purposes is presented, and this is followed by a brief description of ice algae models in practice with some physical conditions which influence ecosystem modelling. In the following Chapter, a simple mathematical model to represent the algae population is derived, and analyzed using pseudo spectral numerical methods implemented with MATLAB. The behaviour of the algae population and the boundary layers are discussed by examining the numerical results. Perturbation and asymptotic analysis is used for further analysis of the system using Maple. In the following Chapter a Nutrient Phytoplankton Zooplankton Detritus (or NPZD) model, which is a commonly used type of model in marine ecosystem modelling, is developed based on the framework of Soetaert and Herman. The model is examined under five different experimental setups (herein we mean numerical experiments) and the results are discussed. The NPZD model implemented is compared with a well-studied model in the literature. Our model can be considered somewhat simpler than other models in the literature (though it still has a much larger parameter space than the idealized model discussed in the previous Chapter). Finally we discuss future directions for research. |
format |
Master Thesis |
author |
Wickramage, Shyamila Iroshi Perera |
author_facet |
Wickramage, Shyamila Iroshi Perera |
author_sort |
Wickramage, Shyamila Iroshi Perera |
title |
Mathematical Modelling and Numerical Simulation of Marine Ecosystems With Applications to Ice Algae |
title_short |
Mathematical Modelling and Numerical Simulation of Marine Ecosystems With Applications to Ice Algae |
title_full |
Mathematical Modelling and Numerical Simulation of Marine Ecosystems With Applications to Ice Algae |
title_fullStr |
Mathematical Modelling and Numerical Simulation of Marine Ecosystems With Applications to Ice Algae |
title_full_unstemmed |
Mathematical Modelling and Numerical Simulation of Marine Ecosystems With Applications to Ice Algae |
title_sort |
mathematical modelling and numerical simulation of marine ecosystems with applications to ice algae |
publisher |
University of Waterloo |
publishDate |
2013 |
url |
http://hdl.handle.net/10012/7664 |
genre |
ice algae Sea ice |
genre_facet |
ice algae Sea ice |
op_relation |
http://hdl.handle.net/10012/7664 |
_version_ |
1766026883417243648 |