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<front>
<journal-meta>
<journal-id journal-id-type="publisher">HESS</journal-id>
<journal-title-group>
<journal-title>Hydrology and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7938</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/hess-11-819-2007</article-id>
<title-group>
<article-title>Predictions of rainfall-runoff response and soil moisture dynamics in a microscale catchment using the CREW model</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lee</surname>
<given-names>H.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Zehe</surname>
<given-names>E.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sivapalan</surname>
<given-names>M.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>School of Environmental Systems Enineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Institute of Geoecology, University of Potsdam, Germany</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Departments of Geography &amp; Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, 220~Davenport Hall, 607 S. Mathews Avenue, Urbana, IL 61801, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>05</day>
<month>02</month>
<year>2007</year>
</pub-date>
<volume>11</volume>
<issue>2</issue>
<fpage>819</fpage>
<lpage>849</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2007 H. Lee et al.</copyright-statement>
<copyright-year>2007</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Generic License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by-nc-sa/2.5/">https://creativecommons.org/licenses/by-nc-sa/2.5/</ext-link></license-p>
</license>
</permissions>
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<abstract>
<p>Predictions of catchment hydrology have been performed generally using
either physically based, distributed models or conceptual lumped or
semi-distributed models. In recognition of the disadvantages of using either
of these modeling approaches, namely, detailed data requirements in the case
of distributed modeling, and lack of physical basis of conceptual/lumped
model parameters, Reggiani et al. (1998, 1999) derived, from first
principles and in a general manner, the balance equations for mass, momentum
and energy at what they called the Representative Elementary Watershed (or
REW) scale. However, the mass balance equations of the REW approach include
mass exchange flux terms which must be defined externally before their
application to real catchments. Developing physically reasonable &quot;closure
relations&quot; for these mass exchange flux terms is a crucial pre-requisite
for the success of the REW approach. As a guidance to the development of
closure relations expressing mass exchange fluxes as functions of relevant
state variables in a physically reasonable way, and in the process
effectively parameterizing the effects of sub-grid or sub-REW heterogeneity
of catchment physiographic properties on these mass exchange fluxes, this
paper considers four different approaches, namely the field experimental
approach, a theoretical/analytical approach, a numerical approach, and a
hybrid approach combining one or more of the above. Based on the concept of
the scaleway (Vogel and Roth, 2003) and the disaggregation-aggregation
approach (Viney and Sivapalan, 2004), and using the data set from Weiherbach
catchment in Germany, closure relations for infiltration, exfiltration and
groundwater recharge were derived analytically, or on theoretical grounds,
while numerical experiments with a detailed fine-scale, distributed model,
CATFLOW, were used to obtain the closure relationship for seepage outflow.
The detailed model, CATFLOW, was also used to derive REW scale
pressure-saturation (i.e., water retention curve) and hydraulic
conductivity-saturation relationships for the unsaturated zone. Closure
relations for concentrated overland flow and saturated overland flow were
derived using both theoretical arguments and simpler process models. In
addition to these, to complete the specification of the REW scale balance
equations, a relationship for the saturated area fraction as a function of
saturated zone depth was derived for an assumed topography on the basis of
TOPMODEL assumptions. These relationships were used to complete the
specification of all of the REW-scale governing equations (mass and momentum
balance equations, closure and geometric relations) for the Weiherbach
catchment, which are then employed for constructing a numerical watershed
model, named the &lt;b&gt;C&lt;/b&gt;ooperative &lt;b&gt;C&lt;/b&gt;ommunity &lt;b&gt;C&lt;/b&gt;atchment
model based on the &lt;b&gt;R&lt;/b&gt;epresentative &lt;b&gt;E&lt;/b&gt;lementary
&lt;b&gt;W&lt;/b&gt;atershed approach (CREW). CREW is then used to carry out
sensitivity analyses with respect to various combinations of climate, soil,
vegetation and topographies, in order to test the reasonableness of the
derived closure relations in the context of the complete catchment response,
including interacting processes. These sensitivity analyses demonstrated
that the adopted closure relations do indeed produce mostly reasonable
results, and can therefore be a good basis for more careful and rigorous
search for appropriate closure relations in the future. Three tests are
designed to assess CREW as a large scale model for Weiherbach catchment. The
first test compares CREW with distributed model CATFLOW by looking at
predicted soil moisture dynamics for artificially designed initial and
boundary conditions. The second test is designed to see the applicabilities
of the parameter values extracted from the upscaling procedures in terms of
their ability to reproduce observed hydrographs within the CREW modeling
framework. The final test compares simulated soil moisture time series
predicted by CREW with observed ones as a way of validating the predictions
of CREW. The results of these three tests, together, demonstrate that CREW
could indeed be an alternative modelling framework, producing results that
are consistent with those of the distributed model CATFLOW, and capable of
ultimately representing processes actually occurring at the larger scale in
a physically sound manner.</p>
</abstract>
<counts><page-count count="31"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple"> Attinger, S.: Generalized coarse graining procedures for flow in porous media, Comp. Geosci., 7, 253&amp;ndash;273, 2003. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Beven, K. J.: Towards an alternative blueprint for a physically based digitally simulated hydrologic response modelling system, Hydrol. Processes, 16, 189&amp;ndash;206, 2002. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Beven, K. J. and Kirkby, M. J.: A physically-based variable contributing area model of basin hydrology, Hydrol. Sci. Bull., 24(1), 43&amp;ndash;69, 1979. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Beven, K. J. and Freer, J. E.: Equifinality, data assimilation, and uncertainty estimation in mechanistic modeling of complex environmental systems using the GLUE methodology, J. Hydrol., 249, 11&amp;ndash;29, 2001. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Binley, A., Elgy, J., and Beven, K.: A physically based model for heterogeneous hillslopes. 1. Runoff production, Water Resour. Res., 25(6), 1219&amp;ndash;1226, 1989a. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Binley, A., Beven, K., and Elgy, J.: A physically based model for heterogeneous hillslopes. 2. Effective hydraulic conductivities, Water Resour. Res., 25(6), 1219&amp;ndash;1226, 1989b. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Blöschl, G. and Zehe, E.: On hydrological predictability, Hydrol. Processes, 19(9), 3923&amp;ndash;3929, 2005. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Bras, R. L.: Hydrology: An Introduction to Hydrologic Science, Reading, Mass., USA: Addison-Wesley-Longman, 1990. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Bresler, E. and Dagan, G.: Unsaturated flow in spatially variable fields. 2. Application of water flow models to various fields, Water Resour. Res., 19(2), 421&amp;ndash;428, 1983. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Chow, V. T., Maidment, D. R., and Mays, L. W.: Applied Hydrology, McGraw-Hill, Inc, 1988. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Dagan, G.: Flow and Transport in Porous Formations, Springer-Verlag, New York, 1989. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Duffy, C. J.: A two-state integral-balance model for soil moisture and groundwater dynamics in complex terrain, Water Resour. Res., 32(8), 2421&amp;ndash;2434, 1996. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Climate, soil, and vegetation, 1. Introduction to water balance dynamics, Water Resour. Res., 14(5), 705&amp;ndash;712, 1978a. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Climate, soil, and vegetation, 3. A simplified model of soil moisture movement in the liquid phase, Water Resour. Res., 14(5), 722&amp;ndash;730, 1978b. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Eagleson, P. S.: Climate, soil, and vegetation, 4. The expected value of annual evapotranspiration, Water Resour. Res., 14(5), 731&amp;ndash;739, 1978c. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Ichikawa, Y. and Shiiba, M.: Lumping of kinematic wave equation considering field capacity, 3rd Int. Conf. on Water Resources and Environmental Research, 1, 61&amp;ndash;65, 2002. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Kees, C. E., Band, L. E., and Farthing, M. W.: Effects of Dynamic Forcing on Hillslope Water Balance Models, Technical Report CRSC-TR04-12, Center for Research in Scientific Computation, Department of Mathematics, North Carolina State University, 2004. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Kees, C. E., Farthing, M. W., Band, L. E., and Miller, C. T.: Choices of scale and process complexity in hillslope models, Eos Trans. AGU, 83(47), Fall Meet. Suppl., Abstract H62B-0838, 2002. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Lee, H., Sivapalan, M., and Zehe, E.: Representative Elementary Watershed (REW) approach, a new blueprint for distributed hydrologic modelling at the catchment scale, in: Predictions in ungauged basins: international perspectives on state-of-the-art and pathways forward, edited by: Franks, S. W., Sivapalan, M., Takeuchi, K., and Tachikawa, Y., IAHS Press, Wallingford, Oxon, UK, IAHS Publications 301, Paper 15, 2005a. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Lee, H., Sivapalan, M., and Zehe, E.: Representative Elementary Watershed (REW) approach, a new blueprint for distributed hydrologic modelling at the catchment scale: the development of closure relations, in: Predicting ungauged streamflow in the mackenzie river basin: today&apos;s techniques &amp; tomorrow&apos;s solutions, edited by: Spence, C., Pomeroy, J. W., and Pietroniro, A., Canadian Water Resources Association (CWRA), Ottawa, Canada, 165&amp;ndash;218, 2005b. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Lunati, I., Attinger, S., and Kinzelbach, W.: Macrodispersivity for transport in arbitrary nonuniform flow fields: Asymptotic and pre-asymptotic results, Water Resour. Res., 38(10), 1187, https://doi.org/10.1029/2001WR001203, 2002. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Maurer, T.: Physikalisch begrundete, zeitkontinuierliche Modellierung des Wassertransports in kleinen landlichen Einzugsgebieten, Universitat Karlsruhe, MitteiLungen Inst. F. Hydrologie u. Wasserwirtschaft, H. 61, Universitat Karlsruhe, 1997. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Mualem, Y.: A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour. Res., 12, 513&amp;ndash;522, 1976. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Philip, J. R.: General method of exact solution of the concentration-dependent diffusion equation, Aust. J. Phys., 13(1), 1&amp;ndash;12, 1960. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P.: Numerical Recipes in FORTRAN, Cambridge University Press, 1992. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Reggiani, P. and Schellekens, J.: Modelling of hydrological responses: the representative elementary watershed approach as an alternative blueprint for watershed modelling, Hydrol. Processes, 17, 3785&amp;ndash;3789, 2003. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Reggiani, P., Sivapalan, M., and Hassanizadeh, S. M.: A unifying framework for watershed thermodynamics: balance equations for mass, momentum, energy and entropy and the second law of thermodynamics, Adv. Water Resour., 22(4), 367&amp;ndash;398, 1998. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Reggiani, P., Hassanizadeh, S. M., Sivapalan, M., and Gray, W. G.: A unifying framework for watershed thermodynamics: constitutive relationships, Adv. Water Resour., 23(1), 15&amp;ndash;39, 1999. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Reggiani, P., Sivapalan, M., and Hassanizadeh, S. M.: Conservation equations governing hillslope responses: exploring the physical basis of water balance, Water Resour. Res., 36(7), 1845&amp;ndash;1863, 2000. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Reggiani, P., Sivapalan, M., Hassanizadeh, S. M., and Gray, W. G.: Coupled equations for mass and momentum balance in a stream network: theoretical derivation and computational experiments, Proc. R. Soc. Lond., 457, 157&amp;ndash;189, 2001. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Robinson, J. S. and Sivapalan, M.: Catchment-scale runoff generation model by aggregation and similarity analyses, Hydrol. Processes, 9, 555&amp;ndash;574, 1995. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Robock, A., Vinnikov, K. Y., Srinivasan, G., Entin, J. K., Hollinger, S. E., Speranskaya, N. A., Liu, S., and Namkhai, A.: The Global Soil Moisture Data Bank. Bull. Amer. Meteor. Soc., 81, 1281&amp;ndash;1299, 2000. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Rogers, A. D.: The development of a simple infiltration capacity equation for spatially variable soils, B.E (Honours) thesis, Department of Civil and Environmental Engineering, The University of Western Australia, 1992. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Schäfer, D.: Bodenhydraulische Eigenschaften eines Kleineinzugsgebiets &amp;ndash; Vergleich und Bewertung unterschiedlicher Verfahren, PhD dissertation, Institute of Hydromechanics, University of Karlsruhe, Germany, 1999. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Schulz, K., Seppelt, R., Zehe, E., Vogel, H. J., and Attinger, S.: Importance of spatial structures in advancing hydrological sciences, Water Resour. Res., 42(3), W03S03, https://doi.org/10.1029/2005WR004301, 2006. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Sherman, L. K.: Comparison of F-curves derived by the methods Sharp and Holtan and of Sherman and Mayer, Trans. Am. Geophys. Union, 24, 465&amp;ndash;467, 1943. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Sivapalan, M. and Wood, E. F.: Spatial heterogeneity and scale in the infiltration response of catchments, in: Scale problems in hydrology, edited by: Gupta, V. K., Rodríguez-Iturbe I., and Wood, E. F., Reidel Publ., Dordrecht, pp 81&amp;ndash;106, 1986. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> Sivapalan, M.: Linking hydrologic parameterizations across a range of spatial scales: hillslope to catchment to region, IAHS Publ. 212, Proc. Yokohama Symposium, 115&amp;ndash;123, 1993. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> Sivapalan, M., Takeuchi, K., Franks, S.W., Gupta, V.K., Karambiri, H., Lakshmi, V., Liang, X., McDonnell, J.J., Mendiondo, E.M., O&apos;Connel, P.E., Oki, T., Pomeroy, J.W., Schertzer, D., Uhlenbrook, S., and Zehe, E.: IAHS decade on Predictions of Ungauged Basins (PUB): Shaping an exciting future for the hydrological sciences, Hydrol. Sci. J., 48(6), 857&amp;ndash;879, 2003. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> Sloan, P. G. and Moore, I. D.: Modeling subsurface stormflow on steeply sloping forested watersheds, Water Resour. Res., 20(12), 1815&amp;ndash;1822, 1984. </mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple"> van Genuchten, M. T.: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. Jour., 44, 892&amp;ndash;898, 1980. </mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple"> Viney, N. R. and Sivapalan, M.: A framework for scaling of hydrologic conceptualisations based on a disaggregation-aggregation approach, Hydrol. Processes, 18, 1395&amp;ndash;1408, 2004. </mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple"> Vogel, H. J. and Roth, K.: Moving through scales of flow and transport in soil, J. Hydrol., 272, 95&amp;ndash;106, 2003. </mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple"> Wagener, T., McIntyre, N., Lees, M. J., Wheater, H. S., and Gupta, H. V.: Towards reduced uncertainty in conceptual rainfall-runoff modelling: Dynamic identifiability analysis, Hydrol. Processes, 17, 455&amp;ndash;476, 2003. </mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple"> Western, A. W. and Grayson, R. B.: The Tarrawarra data set: soil moisture patterns, soil characteristics and hydrological flux measurements, Water Resour. Res. 34(10), 2765&amp;ndash;2768, 1998. </mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple"> Zehe, E., Maurer, T., Ihringer, J., and Plate, E.: Modeling water flow and mass transport in a Loess catchment, Phys. Chem. Earth (B), 26, 7&amp;ndash;8, 487&amp;ndash;507, 2001. </mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple"> Zehe, E. and Blöschl, G.: Predictability of hydrologic response at the plot and catchment scales &amp;ndash; the role of initial conditions, Water Resour. Res., 40(10), W10202, https://doi.org/10.1029/2003WR002869, 2004. </mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple"> Zehe, E., Lee, H., and Sivapalan, M.: Derivation of closure relations and commensurate state variables for mesoscale hydrological models using dynamical upscaling, in: Predictions in ungauged basins: international perspectives on state-of-the-art and pathways forward, edited by: Franks, S. W., Sivapalan, M., Takeuchi, K., and Tachikawa, Y., IAHS Press, Wallingford, Oxon, UK, IAHS Publications 301, Paper 14, 2005a. </mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple"> Zehe, E., Becker, R., Bardossy, A., and Plate, E.: Uncertainty of simulated catchment runoff response in the presence of threshold processes: Role of initial soil moisture and precipitation, J. Hydrol., 315, 183&amp;ndash;202, 2005b. </mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple"> Zehe, E., Lee, H., and Sivapalan, M.: Dynamical process upscaling for deriving catchment scale state variables and constitutive relations for meso-scale process models, Hydrol. Earth Syst. Sci., 10, 981&amp;ndash;996, 2006. </mixed-citation>
</ref>
</ref-list>
</back>
</article>