Skip to main content

Frequency Response of a Simple Food-Chain Model with Time-Delayed Recruitment: Implications for Abiotic-Biotic Coupling

  • Chapter

Part of the book series: Population and Community Biology Series ((PCBS,volume 18))

Abstract

Understanding the complex interactions between the physical environment and biological dynamics is a fundamental goal in ecology (E. Odum 1971; Ricklefs 1979; McIntosh 1985). It has been proposed that the strength of coupling between a fluctuating environment and associated biota depends on the extent of overlap of the time scales of the biotic and abiotic components (Haury et al. 1978; Powell 1989; Steele 1989, 1991). Despite the recognition that the overlap in scale plays an important role in determining coupling, few studies have directly examined specific scale-dependent linkages between biotic and abiotic components.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  • Carpenter, S. R., and J. F. Kitchell. 1984. Plankton community structure and limnetic primary production. American Naturalist 124: 159–172.

    Article  Google Scholar 

  • Denman, K., and T. Powell. 1984. Effects of the physical processes on planktonic ecosystems in the coastal ocean. Oceanography & Marine Biology Annual Review 22: 125–168.

    CAS  Google Scholar 

  • Evans, G. T., and J. S. Parslow. 1985. A model of plankton cycles. Biological Oceanography 3: 327–347.

    Google Scholar 

  • Gurney, W. S. C., and S. Tobia. 1995. SOLVER A program template for initial value problems expressible as sets of ordinary or delay differential equations. STAMS, University of Strathclyde, Glasgow.

    Google Scholar 

  • Gurney, W. S. C., S. P. Blythe, and R. M. Nisbet. 1980. Nicholson’s blowflies revisited. Nature 287: 17–21.

    Article  Google Scholar 

  • Hastings, A., and T. Powell. 1991. Chaos in a three-species food chain model. Ecology 72: 896–903.

    Article  Google Scholar 

  • Haury, L. R., J. A. McGowan, and P. H. Wiebe. 1978. Patterns and processes in the time-space scales of plankton distributions. Pp. 277–327 in J. H. Steele, ed., Spatial Patterns in Plankton Communities. Plenum, New York.

    Google Scholar 

  • McIntosh, R. P. 1985. The Background of Ecology: Concepts and Theory. Cambridge University Press.

    Google Scholar 

  • Nisbet, R. M., and W. S. C. Gurney. 1976. Population dynamics in a periodically varying environment. Journal of Theoretical Biology 56: 459–475.

    Article  PubMed  CAS  Google Scholar 

  • Nisbet, R. M., and W. S. C. Gurney 1982. Modeling Fluctuating Populations. Wiley, New York.

    Google Scholar 

  • Odum, E. 1971. Fundamentals of Ecology. Saunders, Philadelphia.

    Google Scholar 

  • Odum, H. T. 1984. Summary: Cypress swamps and their regional role. Pp. 416–443 in K. C. Ewel and H. T. Odum, eds., Cypress Swamps. University of Florida Press, Gainesville.

    Google Scholar 

  • Possingham, H. P., and J. Roughgarden. 1990. Spatial population dynamics of a marine organism with a complex life cycle. Ecology 71: 973–985.

    Article  Google Scholar 

  • Powell, T. 1989. Physical and biological scales of variability in lakes, estuaries, and the coastal ocean. Pp. 157–176 in J. Roughgarden, R. M. May, and S. A. Levin, eds., Perspectives in Ecological Theory. Princeton University Press, Princeton, N.J.

    Google Scholar 

  • Ricklefs, R. E. 1979. Ecology. Chiron, New York.

    Google Scholar 

  • Roughgarden, J., S. Gaines, and H. P. Possingham. 1988. Recruitment dynamics in complex life cycles. Science 241: 1460–1466.

    Article  PubMed  CAS  Google Scholar 

  • Roughgarden, J., T. Pennington, and S. Alexander. 1994. Dynamics of the rocky intertidal zone with remarks on generalization in ecology. Philosophical Transactions of the Royal Society of London B, Biological Sciences 343: 79–85.

    Article  Google Scholar 

  • Steele, J. H. 1985. Comparison of terrestrial and marine ecological systems. Nature 313: 355–358.

    Article  Google Scholar 

  • Steele, J. H. 1989. The ocean landscape. Landscape Ecology 3: 185–192.

    Google Scholar 

  • Steele, J. H. 1991. Can ecological theory cross the land-sea boundary? Journal of Theoretical Biology 153: 425–436.

    Google Scholar 

  • Steele, J. H., and E. W. Henderson. 1984. Modeling long-term fluctuations in fish stocks. Science 224: 985–987.

    Article  PubMed  CAS  Google Scholar 

  • Sverdrup, H. U. 1953. On the conditions for the vernal blooming of phytoplankton. Journal du Conseil Conseil International pour l‘Exploration de la Mer 18: 287–295.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Monger, B.C., Fischer, J.M., Grantham, B.A., Medland, V., Cai, B., Higgins, K. (1997). Frequency Response of a Simple Food-Chain Model with Time-Delayed Recruitment: Implications for Abiotic-Biotic Coupling. In: Tuljapurkar, S., Caswell, H. (eds) Structured-Population Models in Marine, Terrestrial, and Freshwater Systems. Population and Community Biology Series, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5973-3_14

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-5973-3_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-412-07271-0

  • Online ISBN: 978-1-4615-5973-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics