---
type: Fractal Concept
title: Power Law
description: Functional relationship y = c x^alpha; ubiquitous in fractal scaling, allometry, and self-organized criticality.
resource: https://tyson-swetnam.github.io/fractal-notebooks/okf/concepts/foundations/power-law/
tags:
- foundations
- statistics
aliases:
- power-law
- scaling law
- scaling laws
sources:
- id: glossary
  resource: https://tyson-swetnam.github.io/fractal-notebooks/foundations/glossary/
  title: Fractal Notebooks glossary (Chapter 4)
- id: seed
  resource: https://github.com/tyson-swetnam/fractal-notebooks/blob/main/fractal_rag/src/fractal_rag/concepts/seed.yaml
  title: fractal_rag concept seed (seed.yaml)
generated:
  by: process:fractal-rag-okf-export
  at: "2026-10-24T00:00:00Z"
status: stable
---

# Definition

Functional relationship y = c x^alpha; ubiquitous in fractal scaling, allometry, and self-organized criticality.

# Aliases

`power-law`, `scaling law`, `scaling laws`

# Related concepts

* [Fractal](../geometry/fractal.md)
* [Allometry](../biological/allometry.md)
* [Self-Organized Criticality](../statistical-physics/self-organized-criticality.md)

# Citations

[1] [Fractal Notebooks glossary (Chapter 4)](https://tyson-swetnam.github.io/fractal-notebooks/foundations/glossary/) — `docs/foundations/glossary.md`

[2] [fractal_rag concept seed (seed.yaml)](https://github.com/tyson-swetnam/fractal-notebooks/blob/main/fractal_rag/src/fractal_rag/concepts/seed.yaml) — `fractal_rag/src/fractal_rag/concepts/seed.yaml`