Remarks on scaling properties inherent to the systems with hierarchically organized supplying network

TL;DR

This paper explores how hierarchical supply networks can naturally lead to power law distributions in various systems, emphasizing the role of conservation laws in this emergence.

Contribution

It demonstrates that conservation laws in hierarchical networks can induce power law properties, supported by examples from economics and biophysics.

Findings

Conservation laws can impose power law distributions in hierarchical systems.

Power law emergence is demonstrated through simple models and examples.

Hierarchical organization influences the statistical properties of complex systems.

Abstract

We study the emergence of a power law distribution in the systems which can be characterized by a hierarchically organized supplying network. It is shown that conservation laws on the branches of the network can, at some approximation, impose power law properties on the systems. Some simple examples taken from economics, biophysics etc. are considered.