Punctuated equilibria and 1/f noise in a biological coevolution model with individual-based dynamics
| dc.creator | Rikvold, Per Arne | |
| dc.creator | Zia, R. K. P. | |
| dc.date | 2003-06-15 | |
| dc.date | 2003-10-18 | |
| dc.date.accessioned | 2026-07-07T05:34:47Z | |
| dc.date.available | 2026-07-07T05:34:47Z | |
| dc.description | 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 (quasi-steady 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. | |
| dc.description | 20 pages RevTex. Minor revisions consistent with published version | |
| dc.identifier | https://arxiv.org/abs/nlin/0306023 | |
| dc.identifier | http://arxiv.org/abs/nlin/0306023 | |
| dc.identifier | Phys. Rev. E 68, 031913 (2003) [16 pages] | |
| dc.identifier | doi:10.1103/PhysRevE.68.031913 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80501 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Biological Physics | |
| dc.subject | Populations and Evolution | |
| dc.title | Punctuated equilibria and 1/f noise in a biological coevolution model with individual-based dynamics | |
| dc.type | text |