Abstract
We carry out perturbation experiments for both extinction and recovering processes by Monte-Carlo simulations on a finite square lattice, Simulations are tried out by two different methods: local and global interactions. We explore fluctuation enhancement which means the degree of population uncertainty. We find the following results. When an endangered species is recovered, FE strongly emerges. By a slight delay of conservation policy, FE becomes high and the recovering process often fails. These results are remarkable for local interaction. We discuss the issue from the assumption that the protection case may be help towards populations against an endangered species.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
May, R.M.: Stability and complexity in model ecosystems. Princeton Univ. Press, Princeton (1973)
Schmitz., O.J.: Press perturbations and the predictability of ecological interactions in a food web. Ecology 78, 55–69 (1997)
Durrett, R., Levin, S.A.: The importance of being discrete and spatial. Theor. Popul. Biol. 46, 363–394 (1994)
Harris, T.E.: Contact interaction on a lattice. Ann. Prob. 2, 969–988 (1974)
Marro, J., Dickman, R.: Nonequilibrium phase transition in lattice models. Cambridge Univ. Press, Cambridge (1999)
Itoh, Y., Tainaka, K., Sakata, T., Tao, T., Nakagiri, N.: Spatial enhancement of population uncertainty near the extinction threshold. Ecol. Model. 174, 191–201 (2004)
Tainaka, K., Hoshiyama, M., Takeuchi, Y.: Dynamic process and variation in the contact process. Phys. Lett. A 272, 416–420 (2000)
Halley, J.M., Inchausti, P.: The increasing importance of 1/f-noises as models of ecological variability. Fluctuation and Noise Letters 4, R1–R26 (2004)
Lande, R.: Mutation and conservation. Conservation Biology 9, 782–791 (1995)
Renshaw, E.: Modelling biological populations in space and time. Cambridge Univ. Press, Cambridge (1991)
Kubo, R., Matsuo, K., Kitahara, K.: Fluctuation and relaxation of macrovariables. J. Stat. Phys. 9, 51–96 (1973)
Tainaka, K.: Lattice model for the Lotka-Volterra system. J. Phys. Soc. Jpn. 57, 2588–2590 (1988)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Nagata, H., Yoshimura, J., Tainaka, Ki. (2008). A Slight Delay in the Onset of Conservation May Bring about an Abrupt Increase of Extinction Risk: Perturbation Experiments in an Ecological Lattice Model. In: Umeo, H., Morishita, S., Nishinari, K., Komatsuzaki, T., Bandini, S. (eds) Cellular Automata. ACRI 2008. Lecture Notes in Computer Science, vol 5191. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79992-4_46
Download citation
DOI: https://doi.org/10.1007/978-3-540-79992-4_46
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-79991-7
Online ISBN: 978-3-540-79992-4
eBook Packages: Computer ScienceComputer Science (R0)