Js. Robinson et M. Sivapalan, TEMPORAL SCALES AND HYDROLOGICAL REGIMES - IMPLICATIONS FOR FLOOD FREQUENCY SCALING, Water resources research, 33(12), 1997, pp. 2981-2999
This paper investigates the interactions among storm, within-storm, be
tween-storm, and seasonal variabilities of rainfall and catchment resp
onse time and how these interactions can help identify different hydro
logical regimes. Using the theoretical framework provided by a simple
linear rainfall-runoff model and intuitive reasoning, five hydrologica
l regimes, ranging from very fast to very slow, are identified on the
basis of two dimensionless ratios of the constituent timescales. For e
ach regime, the paper addresses the question of how the interactions b
etween the timescales in rainfall and in the runoff response manifest
in the flood peak response and in the shape of the flood frequency cur
ve, and the resulting implications for the Scaling of the flood freque
ncy curve between catchments. It is found that, for example, in fast r
egimes, within-storm patterns are the important determinant of flood p
eaks, while in slow regimes multiple storms and seasonality are critic
al. The latter result is verified by means of simulations with a deriv
ed flood frequency model far an actual catchment, Salmon Creek, in Wes
tern Australia. Slow regimes are characterized by low values of the co
efficient of variation, CV[Q(p)], of the flood peaks, while fast regim
es are characterized by higher values of CV[Q(p)]. Analysis of the sim
ulation results on the Salmon catchment, which belongs to the slow reg
ime and exhibits a nonlinear rainfall-runoff response, also shows that
nonlinearity in catchment response substantially increases CV[Q(p)] a
nd may even dominate the scaling of CV[Q(p)] with catchment size. The
scaling exponent in the relationship between mean annual flood and cat
chment size, for a linear runoff response, is higher for slow catchmen
ts and lower for fast catchments, and in both cases it remains constan
t with catchment area. A major conclusion of the paper is that the com
bined effects of within-storm patterns, multiple storms; and seasonali
ty have an important control on the observed scaling behavior in empir
ical flood frequency curves, each being dominant over a different rang
e of catchment sizes.