True Positive (TP) |
\(\frac{\sum_{n=1}^{N}{{(B}_{n}=1)\cap{(S}_{n}=1)}}{N}\times 100\%\) |
(0, 100) % |
False Negative (FN) |
\(\frac{\sum_{n=1}^{N}{{(B}_{n}=1)\cap{(S}_{n}=0)}}{N}\times 100\%\) |
(0, 100) % |
False Positive (FP) |
\(\frac{\sum_{n=1}^{N}{{(B}_{n}=0)\cap{(S}_{n}=1)}}{N}\times 100\%\) |
(0, 100) % |
Flood area ratio (RF) |
\(R_{F}=\frac{\text{Area}_{s}}{\text{Area}_{b}}\) |
(0,
1) |
Mean water depth ratio (RH) |
\(R_{H}=\frac{\sum_{i=1}^{n}H_{s,i}}{\sum_{i=1}^{n}H_{b,i}}\) |
(0, 1) |
Surface water volume ratio (RV) |
\(R_{V}=\frac{\sum_{i=1}^{n}{H_{s,i}\times\text{Area}_{s}}}{\sum_{i=1}^{n}{H_{b,i}\times\text{Area}_{b}}}\) |
(0, 1) |
Initial inundation time differences (Tinit) |
\(T_{\text{init}}=T_{s}-T_{b}\) |
(-T, +T) |
Inundation duration differences (D) |
\(D=D_{s}-D_{b}\) |
(-T,
+T) |
Nash- Sutcliffe Efficiency coefficient (NSE) |
\(1-\frac{\sum_{n=1}^{N}{(S_{n}-O_{n})}^{2}}{\sum_{n=1}^{N}{(S_{n}-\overset{\overline{}}{O})}^{2}}\) |
(-inf, 1) |
Root Mean Square Error (RMSE) |
\(\sqrt{\frac{1}{N}\sum_{n=1}^{N}{(S_{n}-O_{n})}^{2}}\) |
(0,
inf) |
Correlation Coefficient (CC) |
\(\frac{\sum_{i=1}^{n}{(o_{i}-\overset{\overline{}}{o})(s_{i}-\overset{\overline{}}{s})}}{\sqrt{\sum_{i=1}^{n}{(s_{i}-\overset{\overline{}}{s})}^{2}}\sqrt{\sum_{i=1}^{n}{(o_{i}-\overset{\overline{}}{o})}^{2}}}\) |
(0, 1) |