HR: 11:35h
AN: H12A-06 [Abstracts]
TI: Modelling of Sub-daily Hydrological Processes Using Daily Time-Step Models: A Distribution Function
Approach to Temporal Scaling
AU: * Kandel, D D
EM: d.kandel@civenv.unimelb.edu.au
AF: Cooperative Research Centre for catchment hydrology, Department of civil and environmental engineering,
The University of Melbourne, Parkville, VIC 3010
Australia
AU: Western, A W
EM: a.western@civenv.unimelb.edu.au
AF: Cooperative Research Centre for catchment hydrology, Department of civil and environmental engineering,
The University of Melbourne, Parkville, VIC 3010
Australia
AU: Grayson, R B
EM: r.grayson@civenv.unimelb.edu.au
AF: Cooperative Research Centre for catchment hydrology, Department of civil and environmental engineering,
The University of Melbourne, Parkville, VIC 3010
Australia
AB:
Mismatches in scale between the fundamental processes, the model and supporting data are a major limitation in hydrologic
modelling. Surface runoff generation via infiltration excess and the process of soil erosion are fundamentally short
time-scale phenomena and their average behaviour is mostly determined by the short time-scale peak intensities of rainfall.
Ideally, these processes should be simulated using time-steps of the order of minutes to appropriately resolve the effect of
rainfall intensity variations. However, sub-daily data support is often inadequate and the processes are usually simulated by
calibrating daily (or even coarser) time-step models. Generally process descriptions are not modified but rather effective
parameter values are used to account for the effect of temporal lumping, assuming that the effect of the scale mismatch can
be counterbalanced by tuning the parameter values at the model time-step of interest. Often this results in parameter values
that are difficult to interpret physically. A similar approach is often taken spatially. This is problematic as these
processes generally operate or interact non-linearly. This indicates a need for better techniques to simulate sub-daily
processes using daily time-step models while still using widely available daily information.
A new method applicable to many rainfall-runoff-erosion models is presented. The method is based on temporal scaling using
statistical distributions of rainfall intensity to represent sub-daily intensity variations in a daily time-step model. This
allows the effect of short time-scale nonlinear processes to be captured while modelling at a daily time-step, which is often
attractive due to the wide availability of daily forcing data. The approach relies on characterising the rainfall intensity
variation within a day using a cumulative distribution function (cdf). This cdf is then modified by various linear and
nonlinear processes typically represented in hydrological and erosion models. The statistical description of sub-daily
variability is thus propagated through the model, allowing the effects of variability to be captured in the simulations. This
results in cdfs of various fluxes, the integration of which over a day gives respective daily totals.
Using 42-plot-years of surface runoff and soil erosion data from field studies in different environments from Australia and
Nepal, simulation results from this cdf approach are compared with the sub-hourly (2-minute for Nepal and 6-minute for
Australia) and daily models having similar process descriptions. Significant improvements in the simulation of surface runoff
and erosion are achieved, compared with a daily model that uses average daily rainfall intensities. The cdf model compares
well with a sub-hourly time-step model. This suggests that the approach captures the important effects of sub-daily
variability while utilizing commonly available daily information. It is also found that the model parameters are more
robustly defined using the cdf approach compared with the effective values obtained at the daily scale. This suggests that
the cdf approach may offer improved model transferability spatially (to other areas) and temporally (to other periods).
DE: 1815 Erosion and sedimentation
DE: 1854 Precipitation (3354)
DE: 1860 Runoff and streamflow
DE: 1869 Stochastic processes
DE: 1871 Surface water quality
SC: Hydrology [H]
MN: 2004 AGU Fall Meeting