dorsal/arxiv
View SchemaA Simple Model of Evolution with Variable System Size
| Authors | C. Wilke, T. Martinetz |
|---|---|
| Categories | |
| ArXiv ID | physics/9705008 |
| URL | https://arxiv.org/abs/physics/9705008 |
| DOI | 10.1103/PhysRevE.56.7128 |
| Journal | Phys. Rev. E 56:7128-7131 (1997) |
Abstract
A simple model of biological extinction with variable system size is presented that exhibits a power-law distribution of extinction event sizes. The model is a generalization of a model recently introduced by Newman (Proc. R. Soc. Lond. B265, 1605 (1996). Both analytical and numerical analysis show that the exponent of the power-law distribution depends only marginally on the growth rate $g$ at which new species enter the system and is equal to the one of the original model in the limit $g\to\infty$. A critical growth rate $g_c$ can be found below which the system dies out. Under these model assumptions stable ecosystems can only exist if the regrowth of species is sufficiently fast.
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"abstract": "A simple model of biological extinction with variable system size is\npresented that exhibits a power-law distribution of extinction event sizes. The\nmodel is a generalization of a model recently introduced by Newman (Proc. R.\nSoc. Lond. B265, 1605 (1996). Both analytical and numerical analysis show that\nthe exponent of the power-law distribution depends only marginally on the\ngrowth rate $g$ at which new species enter the system and is equal to the one\nof the original model in the limit $g\\to\\infty$. A critical growth rate $g_c$\ncan be found below which the system dies out. Under these model assumptions\nstable ecosystems can only exist if the regrowth of species is sufficiently\nfast.",
"arxiv_id": "physics/9705008",
"authors": [
"C. Wilke",
"T. Martinetz"
],
"categories": [
"physics.bio-ph",
"adap-org",
"cond-mat.dis-nn",
"nlin.AO",
"physics.data-an",
"q-bio"
],
"doi": "10.1103/PhysRevE.56.7128",
"journal_ref": "Phys. Rev. E 56:7128-7131 (1997)",
"title": "A Simple Model of Evolution with Variable System Size",
"url": "https://arxiv.org/abs/physics/9705008"
},
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