Persistent Link:
http://hdl.handle.net/10150/301318
Title:
A Revised Phytoplankton Growth Equation for Water Quality Modelling in Lakes and Ponds
Author:
Kempf, James; Casti, John; Duckstein, Lucien
Affiliation:
Department of Systems and Industrial Engineering, University of Arizona, Tucson, Arizona 85721
Issue Date:
24-Apr-1982
Rights:
Copyright ©, where appropriate, is held by the author.
Collection Information:
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.
Publisher:
Arizona-Nevada Academy of Science
Journal:
Hydrology and Water Resources in Arizona and the Southwest
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.
Keywords:
Hydrology -- Arizona.; Water resources development -- Arizona.; Hydrology -- Southwestern states.; Water resources development -- Southwestern states.
ISSN:
0272-6106

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleA Revised Phytoplankton Growth Equation for Water Quality Modelling in Lakes and Pondsen_US
dc.contributor.authorKempf, Jamesen_US
dc.contributor.authorCasti, Johnen_US
dc.contributor.authorDuckstein, Lucienen_US
dc.contributor.departmentDepartment of Systems and Industrial Engineering, University of Arizona, Tucson, Arizona 85721en_US
dc.date.issued1982-04-24-
dc.rightsCopyright ©, where appropriate, is held by the author.en_US
dc.description.collectioninformationThis 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
dc.publisherArizona-Nevada Academy of Scienceen_US
dc.identifier.journalHydrology and Water Resources in Arizona and the Southwesten_US
dc.description.abstractA 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.en_US
dc.subjectHydrology -- Arizona.en_US
dc.subjectWater resources development -- Arizona.en_US
dc.subjectHydrology -- Southwestern states.en_US
dc.subjectWater resources development -- Southwestern states.en_US
dc.identifier.issn0272-6106-
dc.identifier.urihttp://hdl.handle.net/10150/301318-
dc.identifier.journalHydrology and Water Resources in Arizona and the Southwesten_US
dc.typetexten_US
dc.typeProceedingsen_US
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