Incoprea Theory
Vol. XXV · 29

Theory 13/Forecast error growth/Machine-learned weather models

Error Grows Where the Flow Is Strained

The claim

Forecast error growth rate is set by the ratio of strain rate to error saturation, so errors amplify fastest in deformation zones rather than in the most unstable regions overall.

01Mechanism

Strain stretches error structures until they reach the scale where nonlinear saturation takes over; the ratio sets the growth.

02Prediction

Error growth should peak in strain zones.

03Refutation

Error growth uncorrelated with strain would remove the argument.

04What makes it checkable

Learned forecast models can be run in large ensembles cheaply, giving the error-growth statistics that operational ensembles could not afford at this density.

05Why it was not testable before

Ensemble sizes were limited by compute; cheap emulators allow thousands of members.