dorsal/arxiv
View SchemaA soluble model of evolution and extinction dynamics in a rugged fitness landscape
| Authors | Paolo Sibani |
|---|---|
| Categories | |
| ArXiv ID | physics/9705026 |
| URL | https://arxiv.org/abs/physics/9705026 |
| DOI | 10.1103/PhysRevLett.79.1413 |
Abstract
We consider a continuum version of a previously introduced and numerically studied model of macroevolution (PRL 75, 2055, (1995)) in which agents evolve by an optimization process in a rugged fitness landscape and die due to their competitive interactions. We first formulate dynamical equations for the fitness distribution and the survival probability. Secondly we analytically derive the $t^{-2}$ law which characterizes the life time distribution of biological genera. Thirdly we discuss other dynamical properties of the model such as the rate of extinction and conclude with a brief discussion.
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"abstract": "We consider a continuum version of a previously introduced and numerically\nstudied model of macroevolution (PRL 75, 2055, (1995)) in which agents evolve\nby an optimization process in a rugged fitness landscape and die due to their\ncompetitive interactions. We first formulate dynamical equations for the\nfitness distribution and the survival probability. Secondly we analytically\nderive the $t^{-2}$ law which characterizes the life time distribution of\nbiological genera. Thirdly we discuss other dynamical properties of the model\nsuch as the rate of extinction and conclude with a brief discussion.",
"arxiv_id": "physics/9705026",
"authors": [
"Paolo Sibani"
],
"categories": [
"physics.bio-ph",
"cond-mat.stat-mech",
"q-bio"
],
"doi": "10.1103/PhysRevLett.79.1413",
"title": "A soluble model of evolution and extinction dynamics in a rugged fitness landscape",
"url": "https://arxiv.org/abs/physics/9705026"
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