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An Exact Decomposition of Accumulated Precipitation

Slide deck for the JHM manuscript An Exact Decomposition of Accumulated Precipitation into Occurrence, Intensity, Area, and Coupling (S. Yan & X. Chen, University of Oklahoma).

The framework factors precipitation volume over a space–time domain as

$$V = \Delta t\,T\, fw\, Iw\, Aw\, Kw$$

— domain wet-frame occurrence, wet-frame mean intensity, wet-frame mean raining area, and within-wet intensity–area coupling — yielding an exactly additive log-ratio budget $DV = Df + D{Iw} + D{Aw} + D{Kw}$ for product–reference differences.

Demonstrated on two years of half-hourly IMERG V07 (IR, uncalibrated, gauge-calibrated) against GV-MRMS over a 5°×5° southeastern U.S. domain.

Single self-contained HTML file; arrow keys navigate, "Print / PDF" exports.