The linear spreading speed is obtained from exponentially decaying modes at an unstable state's leading edge and the condition that their spatial exponents become repeated.
This criterion concerns travelling-front solutions of Fisher's equation.
For diffusion coefficient and leading-edge growth rate , a Fisher-KPP-type pulled front has minimum speed .
A pulled front is selected by growth and diffusion in its small-amplitude leading edge rather than by nonlinear dynamics behind the front.

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