Fitness fluctuations in Bak-Sneppen model

2023/06/15 by Singh, Abha, Chhimpa, Rahul, Yadav, Avinash Chand · 2 citations
#Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2306.08895

Abstract

We study the one-dimensional Bak-Sneppen model for the evolution of species in an ecosystem. Of particular interest are the temporal fluctuations in the fitness variables. We numerically compute the power spectral density and apply the finite-size scaling method to get data collapse. A clear signature of 1/f^α noise with α≈ 1.2 (long-time correlations) emerges for both local and global (or average) fitness noises. The limiting value 0 or 2 for the spectral exponent corresponds to the no interaction or random neighbors version model, respectively. The local power spectra are spatially uncorrelated and also show an additional scaling ∼ 1/L in the frequency regime L^-λ≪ f≪ 1/2, where L is the linear extent of the system.

Cited by

• 1/f noise in extremal dynamics
• Avalanche activity noises in sandpile models

Related

• 1/f noise in extremal dynamics
• Fitness noise in the Bak-Sneppen evolution model in high dimensions
• A perturbative approach to the Bak and Sneppen Model
• The avalanche dynamics in Bak-Sneppen evolution model observed with standard distribution width of fitness
• Solution of the Master Equation for Bak-Sneppen Model of Biological Evolution in Finite Ecosystem