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 (nāā¤ā4). 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.
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References
Tainaka, K.: Lattice model for the Lotka-Volterra system. J. Phys. Soc. Jpn.Ā 57, 2588ā2590 (1988)
Tainaka, K.: Stationary pattern of vortices or strings in biological systems, lattice version of the Lotka-Volterra model. Phys. Rev. Lett.Ā 63, 2688ā2691 (1989)
Paine, R.T.: Food web complexity and species diversity. The American Naturalist.Ā 100, 65ā75 (1966)
Tilman, D., Downing, J.A.: Biodiversity and stability in grassland. NatureĀ 367, 363ā365 (1994)
Caswell, H., Cohen, J.E.: Red, white and blue, environmental variance spectra and coexistence in metapopulations. J. Theor. Biol.Ā 176, 301ā316 (1995)
Yodzis, P.: The indeterminacy of ecological interactions as perceived through perturbation experiments. EcologyĀ 69, 508ā515 (1988)
Tainaka, K.: Intrinsic uncertainty in ecological catastrophe. J. Theor. Biol.Ā 166, 91ā99 (1994)
Kubo, R., Matsuo, K., Kitahara, K.: Fluctuations and relaxation of macrovariables. J. Stat. Phys.Ā 9, 51ā96 (1973)
Tsuchiya, Y., Horie, S.: Evolution process of the Williams domain in a nematic liquid crystal. J. Phys. Soc. Jpn.Ā 54, 1ā4 (1985)
Tainaka, K., Hosiyama, M., Takeuchi, Y.: Dynamic process and variation in the contact process. Phys. Lett. AĀ 272, 416ā420 (2000)
Itoh, Y., Tainaka, K.: Spatial Enhancement of Population Uncertainty in model ecosystems. J. Phys. Soc. Jpn.Ā 73(2004), 53ā59 (1994)
Kobayashi, K., Tainaka, K.: Critical phenomena in cyclic ecosystems, parity law and self-structuring extinction pattern. J. Phys. Soc. Jpn.Ā 66, 38ā41 (1997)
Harris, T.E.: Contact interaction on a lattice. Ann.Prob.Ā 2, 969ā988 (1974)
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, 1891ā1894 (1992)
Satulovsky, J.E., Tome, T.: Stochastic lattice gas model for a predator -prey system. Phys. Rev. EĀ 49, 5073ā5079 (1994)
Sutherland, B.R., Jacobs, A.E.: Self-organization and scaling in a lattice prey-predator model. Complex SystemsĀ 8, 385ā405 (1994)
Hofbauer, J., Sigmund, K.: The theory of evolution and dynamical systems. Cambridge Univ. Press, Cambridge (1988)
Takeuchi, Y.: Gloval dynamical properties of Lotka-Volterra systems. World Scientific, Singapore (1996)
Takeuchi, Y.: Private communication (2006)
May, R.M.: Thresholds and breakpoints in ecosystems with a multiplicity of stable states. NatureĀ 269, 471ā477 (1977)
Krivan, V.: Optimal Foraging and Predator-Prey Dynamics. Theoretical Population BiologyĀ 49, 265ā290 (1996)
McShea, W.J., Underwood, H.B., Rappole, J.H. (eds.): The science of overabundance deer ecology and population management. Smithsonian Institution Press, Washington (1997)
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, 113ā147 (2004)
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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
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DOI: https://doi.org/10.1007/978-4-431-88981-6_13
Publisher Name: Springer, Tokyo
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