Boughton and Eckhardt

Original Form

Boughton, W.C., 1993. A hydrograph-based model for estimating the water yield of ungauged catchments. Hydrology and Water Resources Symposium, Institution of Engineers Australia, Newcastle: 317-324.

\[b_t = \frac{k}{1+C}b_{t-1} + \frac{C}{1+C}q_t\]

Eckhardt, K., 2005. How to construct recursive digital filters for baseflow separation. Hydrological Processes 19, 507-515.

\[b_t = \frac{(1-\text{BFI}_\text{max})kb_{t-1} + (1-k)\text{BFI}_\text{max}q_t}{1-k\text{BFI}_\text{max}}\]

where

\[C = \frac{(1-k)\text{BFI}_\text{max}}{1-\text{BFI}_\text{max}}\]

General form

\[b_t = \alpha b_{t-1} + \beta q_t + \gamma q_{t-1}\] \[\alpha = \frac{k}{1+C} \qquad \beta = \frac{C}{1+C} \qquad \gamma=0\]