Temporal correlation of the most-fit species in the Bak–Sneppen model
Abstract
Abstract We consider the Bak–Sneppen model of biological evolution, which exhibits self-organized criticality. The model remains well studied and displays the signature of 1 / f α noise in fitness fluctuations (Singh et al 2023 Phys. Rev. E 108 044109). We examine the maximum fitness and its location signals by computing power spectra for different system sizes. We find a signature of long-time correlations. By applying finite-size scaling, we determine the spectral exponent and data collapse. The analysis suggests a spectral exponent α ≈ 1.4 for the maximum fitness and its location. We also examine similar properties for different variants of the model.
Fields of Study & Subjects
Theoretical and Computational Physics
Stochastic processes and statistical mechanics
Complex Systems and Time Series Analysis
Publication details
- Journal / source
- Journal of Physics A Mathematical and Theoretical
- Volume
- 59
- Issue
- 8
- Pages
- 085601–085601
- Publication date
- 16 February 2026
- Language
- EN