From brain to earth and climate systems: Small-world interaction networks or not?

Abstract

We consider recent reports on small-world topologies of interaction networks derived from the dynamics of spatially extended systems that are investigated in diverse scientific fields such as neurosciences, geophysics, or meteorology. With numerical simulations that mimic typical experimental situations we have identified an important constraint when characterizing such networks: indications of a small-world topology can be expected solely due to the spatial sampling of the system along with commonly used time series analysis based approaches to network characterization.

References in corpus (8)

• Synchronization in complex networks
• Extracting the multiscale backbone of complex weighted networks
• Robustly estimating the flow direction of information in complex physical systems
• Complex networks in climate dynamics - Comparing linear and nonlinear network construction methods
• The backbone of the climate network
• Revealing Network Connectivity From Dynamics
• Spectral Coarse Graining and Synchronization in Oscillator Networks
• Physical realizability of small-world networks

Cited by in corpus (3)

• Robust Detection of Dynamic Community Structure in Networks
• Analytical framework for recurrence-network analysis of time series
• Markov models for fMRI correlation structure: is brain functional connectivity small world, or decomposable into networks?