Event Title

A Mathematical Model for Light and Nutrient Modulated Multi Species Competitive Phytoplankton Growth in a Water Column Under the Influence of Benthic Grazing and Nutrient Forcing

Mentor 1

Istvan Lauko

Mentor 2

Gabriella Pinter

Location

Union Wisconsin Room

Start Date

29-4-2016 1:30 PM

End Date

29-4-2016 3:30 PM

Description

It is well documented that the recent colonization of Lake Michigan by dreissenid bivalves lead to a dramatic reconfiguration of the lake’s ecosystem. These changes resulted in benthification, which is a transport of a substantial part of the ecosystem’s biomass to the bottom of the lake's water. While various datasets support this observation, a quantitative evaluation of overall ecosystem productivity, its spatial distribution and its effects on the dynamics of the lake ecosystem is not fully understood. The formulation, parametrization and numerical solution of mathematical models representing the major components of the altered lake ecology could help the understanding and quantitative evaluation of the new ecological dynamics. We present a detailed formulation of a simplified mathematical model, as well as a method for its numerical solution, that takes into account the competition among primary producer species for the varying light and two different nitrogenous nutrient sources in the pelagic, as well as the impact of the grazing and nutrient recycling by a substantial and changing dreissenid mussel population in the benthos.

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Apr 29th, 1:30 PM Apr 29th, 3:30 PM

A Mathematical Model for Light and Nutrient Modulated Multi Species Competitive Phytoplankton Growth in a Water Column Under the Influence of Benthic Grazing and Nutrient Forcing

Union Wisconsin Room

It is well documented that the recent colonization of Lake Michigan by dreissenid bivalves lead to a dramatic reconfiguration of the lake’s ecosystem. These changes resulted in benthification, which is a transport of a substantial part of the ecosystem’s biomass to the bottom of the lake's water. While various datasets support this observation, a quantitative evaluation of overall ecosystem productivity, its spatial distribution and its effects on the dynamics of the lake ecosystem is not fully understood. The formulation, parametrization and numerical solution of mathematical models representing the major components of the altered lake ecology could help the understanding and quantitative evaluation of the new ecological dynamics. We present a detailed formulation of a simplified mathematical model, as well as a method for its numerical solution, that takes into account the competition among primary producer species for the varying light and two different nitrogenous nutrient sources in the pelagic, as well as the impact of the grazing and nutrient recycling by a substantial and changing dreissenid mussel population in the benthos.