Skip to main content

Monte Carlo Simulation in Lattice Ecosystem: Top-Predator Conservation and Population Uncertainty

  • Conference paper
Natural Computing

Part of the book series: Proceedings in Information and Communications Technology ((PICT,volume 1))

  • 426 Accesses

Abstract

The conservation of biodiversity is one of the most important problems in this century. Under human management, ecosystems suffer perturbations or disturbances. The investigation of perturbation experiments is essential to conserve species and habitat. We carry out Monte-Carlo simulations on finite-size lattices composed of species (nā€‰ā‰¤ā€‰4). The value of mortality rate m of top predator is altered to a higher or lower level and a fluctuation enhancement (FE) is explored. Here FE means an uncertainty in population dynamics. It is found for that FE is observed when m is decreased. Namely, when we protect the top predator, its population dynamics becomes very difficult to predict.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Tainaka, K.: Lattice model for the Lotka-Volterra system. J. Phys. Soc. Jpn.Ā 57, 2588ā€“2590 (1988)

    ArticleĀ  Google ScholarĀ 

  2. Tainaka, K.: Stationary pattern of vortices or strings in biological systems, lattice version of the Lotka-Volterra model. Phys. Rev. Lett.Ā 63, 2688ā€“2691 (1989)

    ArticleĀ  Google ScholarĀ 

  3. Paine, R.T.: Food web complexity and species diversity. The American Naturalist.Ā 100, 65ā€“75 (1966)

    ArticleĀ  Google ScholarĀ 

  4. Tilman, D., Downing, J.A.: Biodiversity and stability in grassland. NatureĀ 367, 363ā€“365 (1994)

    ArticleĀ  Google ScholarĀ 

  5. Caswell, H., Cohen, J.E.: Red, white and blue, environmental variance spectra and coexistence in metapopulations. J. Theor. Biol.Ā 176, 301ā€“316 (1995)

    ArticleĀ  Google ScholarĀ 

  6. Yodzis, P.: The indeterminacy of ecological interactions as perceived through perturbation experiments. EcologyĀ 69, 508ā€“515 (1988)

    ArticleĀ  Google ScholarĀ 

  7. Tainaka, K.: Intrinsic uncertainty in ecological catastrophe. J. Theor. Biol.Ā 166, 91ā€“99 (1994)

    ArticleĀ  Google ScholarĀ 

  8. Kubo, R., Matsuo, K., Kitahara, K.: Fluctuations and relaxation of macrovariables. J. Stat. Phys.Ā 9, 51ā€“96 (1973)

    ArticleĀ  Google ScholarĀ 

  9. Tsuchiya, Y., Horie, S.: Evolution process of the Williams domain in a nematic liquid crystal. J. Phys. Soc. Jpn.Ā 54, 1ā€“4 (1985)

    ArticleĀ  Google ScholarĀ 

  10. Tainaka, K., Hosiyama, M., Takeuchi, Y.: Dynamic process and variation in the contact process. Phys. Lett. AĀ 272, 416ā€“420 (2000)

    ArticleĀ  Google ScholarĀ 

  11. Itoh, Y., Tainaka, K.: Spatial Enhancement of Population Uncertainty in model ecosystems. J. Phys. Soc. Jpn.Ā 73(2004), 53ā€“59 (1994)

    ArticleĀ  Google ScholarĀ 

  12. Kobayashi, K., Tainaka, K.: Critical phenomena in cyclic ecosystems, parity law and self-structuring extinction pattern. J. Phys. Soc. Jpn.Ā 66, 38ā€“41 (1997)

    ArticleĀ  Google ScholarĀ 

  13. Harris, T.E.: Contact interaction on a lattice. Ann.Prob.Ā 2, 969ā€“988 (1974)

    ArticleĀ  MATHĀ  Google ScholarĀ 

  14. Tainaka, K., Fukazawa, S.: Spatial pattern in a chemical reaction system, prey and predator in the position-fixed limit. J. Phys. Soc. Jpn.Ā 61, 1891ā€“1894 (1992)

    ArticleĀ  Google ScholarĀ 

  15. Satulovsky, J.E., Tome, T.: Stochastic lattice gas model for a predator -prey system. Phys. Rev. EĀ 49, 5073ā€“5079 (1994)

    ArticleĀ  Google ScholarĀ 

  16. Sutherland, B.R., Jacobs, A.E.: Self-organization and scaling in a lattice prey-predator model. Complex SystemsĀ 8, 385ā€“405 (1994)

    MATHĀ  Google ScholarĀ 

  17. Hofbauer, J., Sigmund, K.: The theory of evolution and dynamical systems. Cambridge Univ. Press, Cambridge (1988)

    MATHĀ  Google ScholarĀ 

  18. Takeuchi, Y.: Gloval dynamical properties of Lotka-Volterra systems. World Scientific, Singapore (1996)

    Google ScholarĀ 

  19. Takeuchi, Y.: Private communication (2006)

    Google ScholarĀ 

  20. May, R.M.: Thresholds and breakpoints in ecosystems with a multiplicity of stable states. NatureĀ 269, 471ā€“477 (1977)

    ArticleĀ  Google ScholarĀ 

  21. Krivan, V.: Optimal Foraging and Predator-Prey Dynamics. Theoretical Population BiologyĀ 49, 265ā€“290 (1996)

    ArticleĀ  MATHĀ  Google ScholarĀ 

  22. McShea, W.J., Underwood, H.B., Rappole, J.H. (eds.): The science of overabundance deer ecology and population management. Smithsonian Institution Press, Washington (1997)

    Google ScholarĀ 

  23. Cote, S.D., Thomas Rooney, P., Tremblay, J.P., Dussault, C., Walleret, D.M.: Ecological impacts of deer overabundance. Annual Review of Ecology, Evolution, and SystematicsĀ 35, 113ā€“147 (2004)

    ArticleĀ  Google ScholarĀ 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

Ā© 2009 Springer Tokyo

About this paper

Cite this paper

Nagata, H., Tainaka, Ki., Nakagiri, N., Yoshimura, J. (2009). Monte Carlo Simulation in Lattice Ecosystem: Top-Predator Conservation and Population Uncertainty. In: Suzuki, Y., Hagiya, M., Umeo, H., Adamatzky, A. (eds) Natural Computing. Proceedings in Information and Communications Technology, vol 1. Springer, Tokyo. https://doi.org/10.1007/978-4-431-88981-6_13

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-88981-6_13

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-88980-9

  • Online ISBN: 978-4-431-88981-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics