Skip to content
Agricultural Sciences
Agronomy
1959
Intermediate

Richards Growth Curve

W=A(1bekt)MW = A(1 - be^{-kt})^M

Flexible sigmoid for organism growth with shape parameter M.

By F.J. Richards

Agricultural Sciences
Richards Growth Curve
1959 · F.J. Richards
Why it matters: Better fits real agricultural growth data than simple logistic.

Discoverers: F.J. Richards (1959)

What does it mean?

Flexible sigmoid for organism growth with shape parameter M.

Why should I care?

Better fits real agricultural growth data than simple logistic.

Variables & Units

SymbolNameUnitMeaning
WWWeight/YieldBiomass or yield
AAAsymptoteMaximum size
kkGrowth rateRate parameter
MMShapeFlexibility parameter

Worked Example

Fit to wheat biomass over growing season.

AI Guide (Pro)

Ask questions about equations and get answers grounded in the Equation Universe catalog.

Share this equation

Equation Universe

Richards Growth Curve

W=A(1bekt)MW = A(1 - be^{-kt})^M

Real-world impact

Space systems

Orbital mechanics enables global connectivity and exploration.

Photo: Unsplash — rocket launch

Flexible sigmoid for organism growth with shape parameter M.

equation-universe.vercel.app

Post