Skip to main content
Log in

Development and use of a Mathematical model for an antarctic Lake

  • Published:
Hydrobiologia Aims and scope Submit manuscript

Abstract

We describe the development and use of the first mathematical computer model for a polar lake. This dynamic model graphically illustrates seasonal and annual predictions of the changes in the biomass of plankton and attached primary producers, decomposers and consumers, changes in the quantities of potential nutrients and organic matter. The model consists of 100 submodels of which 79 are algebraic equations and 21 are differential equations. It has proven valuable as a means of identifying voids in our limnological program and probable errors in field measurements.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Fortner, R. D., Weand, B. L., Hoehn, R. C. & Parker, B. C. 1976. Revaluation of ortho-phosphorus and inorganic nitrogen levels in an Antarctic meromictic lake. Hydrobiologia 49: 229–232.

    Google Scholar 

  • Hoehn, R. C., Parker, B. C. & Paterson, R. A. 1974. Toward an ecological model for Lake Bonney, Southern Victoria Land, Antarctica. II. 1973–74 field season. Antarct. J. U.S. IX: 297–300.

    Google Scholar 

  • Hoehn, R. C., Parker, B. C., Fortner, R., Weand, B., Craft, J., Lane, L., Stavros, R., Sugg, H. & Whitehurst, J. In Press. Nitrogen and phosphorus availability to plankton and benthic communities in Lake Bonney, Southern Victoria Land, Antarctica. In: G. A. Llano (ed.), Third (SCAR) Symposium on Antarctic Biology, Adaptations Within Antarctic Ecosystems, 26–30 August 1974.

  • Howell, L. W., Jr., Krutchkoff, R. G. & Parker, B. C. In Press. Studies of the Lake Bonney ecosystem and description of the mathematical model for Lake Bonney, Taylor Valley, Southern Victoria Land. Antarct. J. U.S. XII:

  • Lane, L. S. 1977. Microbial community fluctuations in a meromictic, antarctic lake. Hydrobiologia 55: 187–190.

    Google Scholar 

  • Parker, B. C. In Press. Environmental impact of the Lake Bonney project. In: Parker (ed.), Environmental Impact in Antarctica, Virginia Polytechnic Institute and State University. Special Publication.

  • Parker, B. C., Hoehn, R. C. & Paterson, R. A. 1973. Ecological model for Lake Bonney, Southern Victoria Land, Antarctica. Antarct. J. U.S. VII: 214–216.

    Google Scholar 

  • Parker, B. C., Hoehn, R. C., Paterson, R. A., Craft, J., Lane, L., Stavros, R., Sugg, H., Whitehurst, J., Fortner, R. & Weand, B. In Press. Changes in dissolved organic matter, photosynthetic production and microbial community composition in Lake Bonney, Southern Victoria Land, Antarctica. In: G. A. Llano (ed.), Third (SCAR) Symposium on Antarctic Biology, Adaptations Within Antarctic Ecosystems, 26–30 August 1974.

  • Parker, B. C., Krutchkoff, R. G. & Howell, Jr., L. W. 1976. Investigations of the Lake Bonney ecosystem and progress toward a mathematical model. Antarct. J. U.S. XI: 190–191.

    Google Scholar 

  • Parker, B. C., Paterson, R. A. & Linkins, A. E. 1975. Lake Bonney ecosystem. Antarct. J. U.S. X: 137–138.

    Google Scholar 

  • Parker, B. C., Whitehurst, J. T. & Hoehn, R. C. 1974. Observations of in situ production of organic matter in an Antarctic meromictic lake. Virginia J. Sci. 25: 13–140.

    Google Scholar 

  • Scott, R. F. 1969. The Voyage of the Discovery. Greenwood Press Publishers, New York.

    Google Scholar 

  • Weand, B. L., Fortner, R. D., Hoehn, R. C. & Parker, B. C. 1975. Subterranean flow into Lake Bonney. Antarct. J. U.S. X: 15–19.

    Google Scholar 

  • Weand, B. L., Hoehn, R. C. & Parker, B. C. In Press. Nutrient fluxes in Lake Bonney — A meromictic Antarctic lake. Archiv. Hydrobiol.

  • Weand, B. L., Parker, B. C. & Hoehn, R. C. 1976. Trace element distributions in an Antarctic meromictic lake. Hydrobiol. Bull. 10: 104–114.

    Google Scholar 

  • Whitman, C., Hoehn, R. C., Krutchkoff, R. G. & Parker, B. C. In Press. Mathematical models of benthic and plankton communities in Lake Bonney, Southern Victoria Land, Antarctica. In: G. A. Llano (ed.), Third (SCAR) Symposium on Antarctic Biology, Adaptation Within Antarctic Ecosystems, 26–30 August 1974.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Department of Statistics

Department of Biology

Rights and permissions

Reprints and permissions

About this article

Cite this article

Howell, L.W., Krutchkoff, R.G. & Parker, B.C. Development and use of a Mathematical model for an antarctic Lake. Hydrobiologia 60, 129–134 (1978). https://doi.org/10.1007/BF00163178

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00163178

Keywords

Navigation