Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Theorem

Fisher's Fundamental Theorem of Natural Selection

Game Theory

Fisher's fundamental theorem of natural selection is a result in population genetics, developed by the statistician and evolutionary biologist Ronald Fisher, concerning the relationship between a population's genetic variance in fitness and its rate of increase in fitness through natural selection. The proper way of applying Fisher's own abstract statement of the theorem to actual biological populations has been debated by later biologists, but the underlying mathematical result itself is an accepted theorem.

Facts
Statement
The rate of increase in fitness of any organism at any time is equal to its genetic variance in fitness at that time. 1
Proof Year
1930 1
Classification
Statement Form
Identity or Equation 1
Connections

Has Statement Form

Equation, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Identity, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Proved By

Source Fisher's fundamental theorem of natural selection - Wikipedia
Sources
1. Fisher's fundamental theorem of natural selection - Wikipedia
  • Introduction
    The rate of increase in fitness of any organism at any time is equal to its genetic variance in fitness at that time.
  • History section
    first formulated in Fisher's 1930 book The Genetical Theory of Natural Selection
  • Proved By: Ronald Fisher, Lead paragraph
    Fisher's fundamental theorem of natural selection is an idea about genetic variance in population genetics developed by the statistician
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.