Evolution dynamics in terraced NK landscapes
arXiv:adap-org/9904004 · doi:10.1209/epl/i1999-00487-7
Abstract
We study populations of agents evolving in fitness landscapes constructed according to the rules of a modified NK model with a tunable amount of neutral paths. In the `punctuated equilibrium' regime evolutionary events are identified as jumps in the mean population fitness, and the statistics of these jumps in an ensemble of independently evolving populations is analyzed. We show that, for a wide range of landscapes parameters, the number of events in time t is Poisson distributed, with the time parameter replaced by the logarithm of time. This simple log-Poisson statistics likewise describes the number n of records in any sequence of t independently generated random numbers. The implications of this behavior for evolution dynamics are discussed.
8 pages with 4 figures. Accepted in Europhys. Lett
References in corpus (4)
Cited by in corpus (13)
- Record dynamics and the observed temperature plateau in the magnetic creep rate of type II superconductors
- Log-Poisson statistics and full aging in glassy systems
- Intermittency, aging and record fluctuations
- Punctuated evolution for the quasispecies model
- Optimal adaptive performance and delocalization in NK fitness landscapes
- Exploring Valleys of Aging Systems: The Spin Glass Case
- Record dynamics of evolving metastable systems: theory and applications
- Tempo and Mode of Evolution in the Tangled Nature Model
- Dynamics of dense hard sphere colloidal systems: a numerical analysis
- A model with Darwinian dynamics on a rugged landscape
- Extending the applicability of Thermal Dynamics to Evolutionary Biology
- Extremal noise events, intermittency and Log-Poisson statistics in non-equilibrium aging of complex systems
- Logarithmically slow onset of synchronization