A Revised Phytoplankton Growth Equation for Water Quality Modelling in Lakes and Ponds
| dc.contributor.author | Kempf, James | |
| dc.contributor.author | Casti, John | |
| dc.contributor.author | Duckstein, Lucien | |
| dc.date.accessioned | 2013-09-06T16:01:50Z | |
| dc.date.available | 2013-09-06T16:01:50Z | |
| dc.date.issued | 1982-04-24 | |
| dc.identifier.issn | 0272-6106 | |
| dc.identifier.uri | http://hdl.handle.net/10150/301318 | |
| dc.description | From the Proceedings of the 1982 Meetings of the Arizona Section - American Water Resources Assn. and the Hydrology Section - Arizona - Nevada Academy of Science - April 24,1982, Tempe, Arizona | en_US |
| dc.description.abstract | A physiological model of nutrient uptake, based on membrane transport is combined with a phytoplankton biomass growth equation, based on internal nutrient limitation, to form a system of equations modeling phytoplankton growth which are capable of considerably richer dynamics than the Michaelis-Menton-Monod model (M³) or the Droop model. In particular, since the characteristic time scale of nutrient uptake is considerably faster than that of biomass increase, a singular perturbation problem results, leading to a relaxation oscillation similar to the van der Pol oscillator. In contrast with both the Michaelis-Mentor-Monod model and the Droop model, which were developed using steady state chemostat data, the present model would seem to be appropriate for batch cultures and lakes with long turnover times, where the assumptions of the chemostat steady state are not fulfilled. The qualitative behavior of the model compares favorably with data on batch growth of phytoplankton from the literature. | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Arizona-Nevada Academy of Science | en_US |
| dc.rights | Copyright ©, where appropriate, is held by the author. | en_US |
| dc.subject | Hydrology -- Arizona. | en_US |
| dc.subject | Water resources development -- Arizona. | en_US |
| dc.subject | Hydrology -- Southwestern states. | en_US |
| dc.subject | Water resources development -- Southwestern states. | en_US |
| dc.title | A Revised Phytoplankton Growth Equation for Water Quality Modelling in Lakes and Ponds | en_US |
| dc.type | text | en_US |
| dc.type | Proceedings | en_US |
| dc.contributor.department | Department of Systems and Industrial Engineering, University of Arizona, Tucson, Arizona 85721 | en_US |
| dc.identifier.journal | Hydrology and Water Resources in Arizona and the Southwest | en_US |
| dc.description.collectioninformation | This article is part of the Hydrology and Water Resources in Arizona and the Southwest collections. Digital access to this material is made possible by the Arizona-Nevada Academy of Science and the University of Arizona Libraries. For more information about items in this collection, contact anashydrology@gmail.com. | en_US |
| refterms.dateFOA | 2018-06-26T01:37:37Z | |
| html.description.abstract | A physiological model of nutrient uptake, based on membrane transport is combined with a phytoplankton biomass growth equation, based on internal nutrient limitation, to form a system of equations modeling phytoplankton growth which are capable of considerably richer dynamics than the Michaelis-Menton-Monod model (M³) or the Droop model. In particular, since the characteristic time scale of nutrient uptake is considerably faster than that of biomass increase, a singular perturbation problem results, leading to a relaxation oscillation similar to the van der Pol oscillator. In contrast with both the Michaelis-Mentor-Monod model and the Droop model, which were developed using steady state chemostat data, the present model would seem to be appropriate for batch cultures and lakes with long turnover times, where the assumptions of the chemostat steady state are not fulfilled. The qualitative behavior of the model compares favorably with data on batch growth of phytoplankton from the literature. |
