Table 2 Validation metric ratios are shown for RMSE, coverage, upper coverage, and width for the posterior with temperature dependence compared to without temperature dependence (denoted as p, ϕ and p, !ϕ, respectively, in the table header).

From: Physics-guided probabilistic modeling of extreme precipitation under climate change

Watershed

\(\frac{RMS{E}_{p,\varphi }}{RMS{E}_{p,!\varphi }}\)

\(\frac{co{v}_{p,\varphi }}{co{v}_{p,!\varphi }}\)

\(\frac{co{v}_{p,\varphi }^{u}}{co{v}_{p,!\varphi }^{u}}\)

\(\frac{{W}_{p,\varphi }}{{W}_{p,!\varphi }}\)

Arkansas-White-Red

1.06

0.99

0.99

1.00

California

0.96

1.00

1.00

1.00

Great Basin

1.04

1.00

1.02

1.04

Great Lakes

0.93

1.04

1.01

1.02

Lower Colorado

1.02

1.01

1.01

1.00

Lower Mississippi

0.97

1.00

1.00

0.99

Mid Atlantic

1.04

0.99

0.99

1.00

Missouri

0.96

1.02

1.02

1.00

New England

1.00

0.99

0.99

0.97

Ohio

1.03

0.99

1.00

0.99

Pacific Northwest

0.99

1.00

0.99

0.98

Rio Grande

1.05

0.98

1.00

0.95

Souris-Red-Rainy

1.02

0.99

1.00

1.00

South Atlantic-Gulf

1.00

1.00

1.00

1.03

Tennessee

1.02

1.00

1.00

1.00

Texas-Gulf

1.05

1.00

1.00

1.00

Upper Colorado

0.95

0.99

1.00

0.96

Upper Mississippi

0.85

1.02

1.00

1.00

  1. Including temperature dependence improves overall RMSE in 7 of 18 watersheds, increases or maintains coverage in 11 of 18, increases or maintains upper coverage in 14 of 18, and increases average posterior width in 11 of 18.