25
© Institution of Engineers Australia, 2013
* Paper W12-028 submitted 18/11/12; accepted for publication
after review and revision 11/06/13.
† Corresponding author Dr Tony Ladson can be contacted at
tony.ladson@moroka.com.au.
A standard approach to baselow
separation using the Lyne and Hollick ilter
*
AR Ladson
†
Department of Civil Engineering, Monash University, Melbourne, Victoria
R Brown, B Neal and R Nathan
Sinclair Knight Merz, Melbourne, Victoria
ABSTRACT: The digital iltering approach to baselow separation suggested by Lyne & Hollick
(1979) has been widely used and is available in a number of computer packages. However, details
of the approach used by different authors vary and so do the results. This means baselow volumes
and indices reported by different authors, and at different times, are dificult to compare. We propose
a standard method for baselow separation using the Lyne and Hollick digital ilter. This includes
relecting the low series at the start and end of the record to reduce “warm up” effects and the
adoption of speciic starting values for each ilter pass.
KEYWORDS: Baselow separation; digital ilter; Lyne and Hollick; baselow index.
REFERENCE: Ladson, A. R., Brown, R., Neal, B. & Nathan, R. 2013, “A standard approach
to baselow separation using the Lyne and Hollick ilter”, Australian Journal of Water
Resources, Vol. 17, No. 1, pp. 25-34, http://dx.doi.org/10.7158/W12-028.2013.17.1.
1 INTRODUCTION
Separating the baselow and quicklow components of
hydrographs is a common undertaking in hydrology
and is used as part of rainfall runoff modelling
(Jakeman & Hornberger, 1993), contaminant
generation modelling (Merritt et al, 2003), assessments
of groundwater recharge and discharge (Arnold
et al, 2000), and flood hydrograph estimation
(Graszkiewicz et al, 2011). There is a wide range of
approaches that have been developed to separate
baselow from quicklow using measured streamlow
data (Lyne & Hollick, 1979; Boughton, 1988; Nathan
& McMahon, 1990a; Chapman, 1999; Brodie &
Hostetler, 2005). It is generally acknowledged that
these numerical techniques are not closely related to
the underlying physical processes that lead to rapid
and delayed responses in streamlow but they offer
a way forward for hydrologic practice if they can
provide objective and repeatable results.
1.1 The Lyne and Hollick ilter
Lyne & Hollick (1979) proposed a recursive digital
ilter for baselow separation. Although recognised
as lacking a physical basis (Chapman, 1991; 1999)
the technique is easy to automate, objective and
repeatable (Nathan & McMahon, 1991). This makes
it particularly useful for comparative hydrology and
for regionalisation as it can be used to characterise
differences between catchments in a consistent
manner. The limitation of the digital iltering approach
is that the derived series do not relect any underlying
physical processes in shape, timing or quantum so it
is not possible to make quantitative inferences.
The basic ilter equations are:
1
1 1 for 0
2
0 otherwise
f f
f
q i qi qi q i
q i
(1)
q
b
(i) = q(i) – q
f
(i) (2)
where q
f
( i ) is the quickflow response at the i
th
sampling instant; q(i) is the original streamlow at
Australian Journal of Water Resources, Vol 17 No 1