Punctuated equilibria and 1/f noise in a biological coevolution model with individual-based dynamics -: art. no. 031913

被引:52
作者
Rikvold, PA [1 ]
Zia, RKP
机构
[1] Florida State Univ, Sch Computat Sci & Informat Technol, Ctr Mat Res & Technol, Tallahassee, FL 32306 USA
[2] Florida State Univ, Dept Phys, Tallahassee, FL 32306 USA
[3] Virginia Polytech Inst & State Univ, Dept Phys, Ctr Stochast Proc Sci & Engn, Blacksburg, VA 24061 USA
[4] Mississippi State Univ, Dept Phys & Astron, Mississippi State, MS 39762 USA
[5] Mississippi State Univ, ERC Ctr Computat Sci, Mississippi State, MS 39762 USA
来源
PHYSICAL REVIEW E | 2003年 / 68卷 / 03期
关键词
D O I
10.1103/PhysRevE.68.031913
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We present a study by linear stability analysis and large-scale Monte Carlo simulations of a simple model of biological coevolution. Selection is provided through a reproduction probability that contains quenched, random interspecies interactions, while genetic variation is provided through a low mutation rate. Both selection and mutation act on individual organisms. Consistent with some current theories of macroevolutionary dynamics, the model displays intermittent, statistically self-similar behavior with punctuated equilibria. The probability density for the lifetimes of ecological communities is well approximated by a power law with exponent near -2, and the corresponding power spectral densities show 1/f noise (flicker noise) over several decades. The long-lived communities (quasisteady states) consist of a relatively small number of mutualistically interacting species, and they are surrounded by a "protection zone" of closely related genotypes that have a very low probability of invading the resident community. The extent of the protection zone affects the stability of the community in a way analogous to the height of the free-energy barrier surrounding a metastable state in a physical system. Measures of biological diversity are on average stationary with no discernible trends, even over our very long simulation runs of approximately 3.4x10(7) generations.
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页数:16
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