Evaluation of Regionalization Methods for Hourly
Continuous Streamflow Simulation Using
Distributed Models in Boreal Catchments
Teklu T. Hailegeorgis
1
; Yisak S. Abdella
2
; Knut Alfredsen
3
; and Sjur Kolberg
4
Abstract: Regionalization for prediction in ungauged basins at hourly resolution is important for water resources management (e.g., floods
and hydropeaking). In the research reported in this paper, calibration of 26 catchments (39–3,090 km
2
) in mid-Norway was performed using
hourly records and three spatially distributed (1 × 1 km
2
) precipitation–runoff models, as follows: (1) first-order nonlinear system model,
(2) Hydrologiska Byråns Vattenballansavdelning (HBV) model, and (3) basic grid model. Four regionalization methods for each model
[(1) parameter set yielding maximum regional weighted average performance measures (PMs), (2) regional median of optimal parameters,
(3) nearest neighbor (NN), and (4) physical similarity (PS)] were evaluated and compared with three benchmarks. Parameter transfer from
best regional donor and from an ideal best arbitrary single-donor, and local calibration (LC) were as benchmarks. The PS attributes include
hypsometric curves, land use, drainage density, catchment area, terrain slope, bedrock geology, soil type, and combination of all. Compre-
hensive evaluation of single-donors and multidonors, simple benchmarks, and more advanced regionalization methods using multimodels,
two PMs, and their statistical evaluation indicate that the identification of regionalization methods is dependent on the models, the PM,
and their statistical evaluation. In general, the hypsometric curves, land use, and best regional donor methods performed better for the
Nash–Sutcliffe efficiency based on boxplots and regional median values of both the Nash–Sutcliffe efficiency and relative deterioration or
improvement of the Nash–Sutcliffe efficiency from the LC due to the regionalization. The methods also performed better for the individual
catchments. The terrain slope, regional median of optimal parameters, maximum regional weighted average, and best regional donor methods
performed better for the natural-logarithm-transformed streamflow (i.e., regarding the Nash–Sutcliffe efficiency) based on the same evalu-
ation criteria. Similar performance to the more advanced regionalization methods of transfer of homogeneous parameter sets across the whole
region from the best regional donor for both Nash–Sutcliffe efficiency and natural-logarithm-transformed streamflow (i.e., regarding the
Nash–Sutcliffe efficiency) indicate the potential of the simple regionalization approach for predicting runoff response in the region.
DOI: 10.1061/(ASCE)HE.1943-5584.0001218. © 2015 American Society of Civil Engineers.
Introduction
Continuous time precipitation–runoff modeling has been used to
represent the hydrological processes and understand the basin re-
sponse. The modeling task entails parameter calibration procedures
for gauged basins. However, model identification is not always
straightforward due to uncertainties in input data (e.g., climate
forcing and streamflow), model structure, and potential nonidenti-
fiability of some model. Moreover, there are further challenges
for prediction in ungauged basins (PUBs; Sivapalan et al. 2003)
through transfer of information from the calibrated gauged basins
to ungauged sites. The uncertainty in precipitation measurments
due to the inability of the existing gauges to properly capture
the spatial variability of precipitation is a major source of data
uncertainty that affects parameter calibration and model prediction.
Application of spatially distributed hydrological modeling has been
encouraged due to the availability of spatial data and their potential
to simulate streamflow at interior catchments. Distributed model
efficiency seems to depend on rainfall and model spatial resolution
(Pechlivanidis et al. 2011). When the model can capture the spatial
information content of precipitation (e.g., McIntyre and Al-Qurashi
2009), effective parameters that are calibrated for a catchment
based on spatially distributed inputs, and computations of fluxes
and states may have the potential for better performance when
transferred to interior locations within the catchment over a cali-
bration based on the lumped counterpart. Hence, spatially distrib-
uted modeling and parameter regionalization are important for
the PUBs. Regionalization methods have previously been used to
transfer knowledge from gauged to ungauged basins (Blöschl and
Sivapalan 1995; Oudin et al. 2010), which require evaluation and
identification of the methods.
Regionalization Methods
Several methods for parameter regionalization have been reported.
Parajka et al. (2013) categorized parameter regionalization methods
into five groups. The first method is based on regional calibration
by utilizing data from multisites in the region. Fernandez et al.
(2000) implemented a regression-model-based regional calibra-
tion and concluded that improved regional relationships between
1
Researcher, Dept. of Hydraulic and Environmental Engineering,
Norwegian Univ. of Science and Technology (NTNU), NO-7491
Trondheim, Norway (corresponding author). E-mail: tekhi09@gmail.com
2
Researcher, Dept. of Energy Systems (Water Resources), SINTEF
Energi AS, Sem Sælands vei 11, NO-7465 Trondheim, Norway.
3
Professor, Dept. of Hydraulic and Environmental Engineering,
Norwegian Univ. of Science and Technology (NTNU), NO-7491
Trondheim, Norway.
4
Researcher, Dept. of Energy Systems (Water Resources), SINTEF
Energi AS, Sem Sælands vei 11, NO-7465 Trondheim, Norway.
Note. This manuscript was submitted on July 11, 2014; approved on
February 25, 2015; published online on April 13, 2015. Discussion period
open until September 13, 2015; separate discussions must be submitted for
individual papers. This paper is part of the Journal of Hydrologic Engi-
neering, © ASCE, ISSN 1084-0699/04015028(20)/$25.00.
© ASCE 04015028-1 J. Hydrol. Eng.
J. Hydrol. Eng.
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