Incoprea Theory
Vol. XXXIII · 29

Number 22/Measurement & inference/Hydrology

The Smoothing Fraction

The quantity

The ratio of event size to antecedent storage capacity. Below one, an event is absorbed and produces no response; above it, the response scales with the excess.

01Why it matters

It explains why identical rainfall produces floods in one catchment and nothing in another, and it is estimable from soil and storage data.

02Expected value

Runoff should be negligible below a fraction of one and rise steeply above.

03How it would be measured

Paired rainfall and runoff records with antecedent moisture estimates.

04What would refute it

Proportional response at all ratios would remove the threshold.