Fluctuations in models of biological macroevolution

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5845, Issue , 2005, Pages 148-155

  Rikvold, Per Arne ^a  

^a Florida State University   (United States)

Author keywords

Biological evolution; Coevolution; Flicker noise; Fluctuations; Power law distributions

Indexed keywords

BIODIVERSITY; MATHEMATICAL MODELS;

BIOLOGICAL EVOLUTION; COEVOLUTION; FLUCTUATIONS; POWER LAW DISTRIBUTION;

SPURIOUS SIGNAL NOISE;

EID: 28444475545     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.609762     Document Type: Conference Paper

References (31)

1. B. Drossel, "Biological evolution and statistical physics," Adv. Phys. 50, pp. 209-295, 2001.
2. N. Eldredge and S. J. Gould, "Punctuated equilibria: An alternative to phyletic gradualism," in Models In Paleobiology, T. J. M. Schopf, ed., pp. 82-115, Freeman, Cooper, San Francisco, 1972.
3. S. J. Gould and N. Eldredge, "Punctuated equilibria: The tempo and mode of evolution reconsidered," Paleobiology 3, pp. 115-151, 1977.
4. S. J. Gould and N. Eldredge, "Punctuated equilibrium comes of age," Nature (London) 366, pp. 223-227, 1993.
5. P. Bak and K. Sneppen, "Punctuated equilibrium and criticality in a simple model of evolution," Phys. Rev. Lett. 71, pp. 4083-4086, 1993.
6. G. Caldarelli, P. G. Higgs, and A. J. McKane, "Modelling coevolution in multispecies communities," J. theor. Biol. 103, pp. 345-358, 1998.
7. B. Drossel, P. G. Higgs, and A. J. McKane, "The influence of predator-prey population dynamics on the long-term evolution of food web structure," J. theor. Biol. 208, pp. 91-107, 2001.
8. B. Drossel, A. McKane, and C. Quince, "The impact of non-linear functional responses on the long-term evolution of food web structure," J. theor. Biol. 229, pp. 539-548, 2004.
9. M. Hall, K. Christensen, S. A. di Collobiano, and H. J. Jensen, "Time-dependent extinction rate and species abundance in a tangled-nature model of biological evolution," Phys. Rev. E 66, Art. No. 011904, 2002.
10. K. Christensen, S. A. di Collobiano, M. Hall, and H. J. Jensen, "Tangled-nature: A model of evolutionary ecology," J. theor. Biol. 216, pp. 73-84, 2002.
11. P. A. Rikvold and R. K. P. Zia, "Punctuated equilibria and 1/f noise in a biological coevolution model with individual-based dynamics," Phys. Rev. E 68, Art. No. 031913, 2003.
12. R. K. P. Zia and P. A. Rikvold, "Fluctuations and correlations in an individual-based model of biological coevolution," J. Phys. A 37, pp. 5135-5155, 2004.
13. V. Sevim and P. A. Rikvold, "A biological coevolution model with correlated individual-based dynamics," in Computer Simulation Studies in Condensed Matter Physics XVII, D. P. Landau, S. P. Lewis, and H.-B. Schüttler, eds., Springer-Verlag, Berlin, in press. E-print arXiv:q-bio.PE/0403042.
14. P. A. Rikvold, in preparation.
15. D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, Cambridge University Press, Cambridge, 2000.
16. P. F. Verhulst, "Notice sur la loi que la population suit dans son accroissement," Corres. Math. et Physique 10, pp. 113-121, 1838.
17. J. D. Murray, Mathematical Biology, Springer-Verlag, Berlin, 1989.
18. M. R. Gardner and W. R. Ashby, "Connectance of large dynamic (cybernetic) systems: Critical values for stability," Nature (London) 228, pp. 784-784, 1970.
19. R. M. May, "Will a large complex system be stable?," Nature (London) 238, pp. 413-414, 1972.
20. P. Yodzis, "The connectance of real ecosystems," Nature (London) 284, pp. 544-545, 1980.
21. J. Dunne, R. J. Williams, and N. D. Martinez, "Network structure and diversity loss in food webs: Robustness increases with connectance," Ecol. Lett. 5, pp. 558-567, 2002.
22. D. Garlaschelli, G. Caldarelli, and L. Pietronero, "Universal scaling relations in food webs," Nature (London) 423, pp. 165-168, 2003.
23. D. Garlaschelli, "Universality in food webs," Eur. Phys. J. B 38, pp. 277-285, 2004.
24. C. J. Krebs, Ecological Methodology, Harper & Row, New York, 1989. Chap. 10.
25. C. E. Shannon, "A mathematical theory of communication," Bell Syst. Tech. J. 27, pp. 379-423, 628-656, 1948.
26. C. E. Shannon and W. Weaver, The Mathematical Theory of Communication, University of Illinois Press, Urbana, 1949.
27. M. Paczuski, S. Maslov, and P. Bak, "Avalanche dynamics in evolution, growth, and depinning models," Phys. Rev. E 53, pp. 414-443, 1996.
28. I. Procaccia and H. Schuster, "Functional renormalization-group study of universal 1/f noise," Phys. Rev. A 28, pp. 1210-1212, 1983.
29. R. V. Solé, S. C. Manrubia, M. Benton, and P. Bak, "Self-similarity of extinction statistics in the fossil record," Nature (London) 388, pp. 764-767, 1997.
30. M. E. J. Newman and G. J. Eble, "Power spectra and extinction in the fossil record," Proc. R. Soc. Lond. B 266, pp. 1267-1270, 1999.
31. S. N. Dorogovtsev, J. F. F. Mendes, and Y. G. Pogorelov, "Bak-Sneppen model near zero dimension," Phys. Rev. E 62, pp. 295-298, 2000.