Articles | Volume 26, issue 12
https://doi.org/10.5194/hess-26-3125-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-26-3125-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| Highlight paper
| 
21 Jun 2022
Research article | Highlight paper |
| 21 Jun 2022
| 21 Jun 2022
Morphological controls on surface runoff: an interpretation of steady-state energy patterns, maximum power states and dissipation regimes within a thermodynamic framework
Samuel Schroers
CORRESPONDING AUTHOR
Institute of Water Resources and River Basin Management, Karlsruhe
Institute of Technology – KIT, Karlsruhe, Germany
Olivier Eiff
Institute for Hydromechanics, Karlsruhe Institute of Technology –
KIT, Karlsruhe, Germany
Axel Kleidon
Max Planck Institute for Biogeochemistry, Jena, Germany
Ulrike Scherer
Engler-Bunte-Institut, Water Chemistry and Water Technology – KIT,
Karlsruhe, Germany
Jan Wienhöfer
Institute of Water Resources and River Basin Management, Karlsruhe
Institute of Technology – KIT, Karlsruhe, Germany
Erwin Zehe
Institute of Water Resources and River Basin Management, Karlsruhe
Institute of Technology – KIT, Karlsruhe, Germany
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Mirko Mälicke, Sibylle K. Hassler, Theresa Blume, Markus Weiler, and Erwin Zehe
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Brian Berkowitz and Erwin Zehe
Hydrol. Earth Syst. Sci., 24, 1831–1858, https://doi.org/10.5194/hess-24-1831-2020, https://doi.org/10.5194/hess-24-1831-2020, 2020
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We present a
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Alexander Sternagel, Ralf Loritz, Wolfgang Wilcke, and Erwin Zehe
Hydrol. Earth Syst. Sci., 23, 4249–4267, https://doi.org/10.5194/hess-23-4249-2019, https://doi.org/10.5194/hess-23-4249-2019, 2019
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We present our hydrological LAST-Model to simulate preferential soil water flow and tracer transport in macroporous soils. It relies on a Lagrangian perspective of the movement of discrete water particles carrying tracer masses through the subsoil and is hence an alternative approach to common models. Sensitivity analyses reveal the physical validity of the model concept and evaluation tests show that LAST can depict well observed tracer mass profiles with fingerprints of preferential flow.
Axel Kleidon, Erwin Zehe, and Ralf Loritz
Earth Syst. Dynam. Discuss., https://doi.org/10.5194/esd-2019-52, https://doi.org/10.5194/esd-2019-52, 2019
Manuscript not accepted for further review
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Ralf Loritz, Axel Kleidon, Conrad Jackisch, Martijn Westhoff, Uwe Ehret, Hoshin Gupta, and Erwin Zehe
Hydrol. Earth Syst. Sci., 23, 3807–3821, https://doi.org/10.5194/hess-23-3807-2019, https://doi.org/10.5194/hess-23-3807-2019, 2019
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In this study, we develop a topographic index explaining hydrological similarity within a energy-centered framework, with the observation that the majority of potential energy is dissipated when rainfall becomes runoff.
Philipp Porada, Alexandra Tamm, Jose Raggio, Yafang Cheng, Axel Kleidon, Ulrich Pöschl, and Bettina Weber
Biogeosciences, 16, 2003–2031, https://doi.org/10.5194/bg-16-2003-2019, https://doi.org/10.5194/bg-16-2003-2019, 2019
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The trace gases NO and HONO are crucial for atmospheric chemistry. It has been suggested that biological soil crusts in drylands contribute substantially to global NO and HONO emissions, based on empirical upscaling of laboratory and field observations. Here we apply an alternative, process-based modeling approach to predict these emissions. We find that biological soil crusts emit globally significant amounts of NO and HONO, which also vary depending on the type of biological soil crust.
Erwin Zehe, Ralf Loritz, Conrad Jackisch, Martijn Westhoff, Axel Kleidon, Theresa Blume, Sibylle K. Hassler, and Hubert H. Savenije
Hydrol. Earth Syst. Sci., 23, 971–987, https://doi.org/10.5194/hess-23-971-2019, https://doi.org/10.5194/hess-23-971-2019, 2019
Martijn Westhoff, Axel Kleidon, Stan Schymanski, Benjamin Dewals, Femke Nijsse, Maik Renner, Henk Dijkstra, Hisashi Ozawa, Hubert Savenije, Han Dolman, Antoon Meesters, and Erwin Zehe
Earth Syst. Dynam. Discuss., https://doi.org/10.5194/esd-2019-6, https://doi.org/10.5194/esd-2019-6, 2019
Publication in ESD not foreseen
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Maik Renner, Claire Brenner, Kaniska Mallick, Hans-Dieter Wizemann, Luigi Conte, Ivonne Trebs, Jianhui Wei, Volker Wulfmeyer, Karsten Schulz, and Axel Kleidon
Hydrol. Earth Syst. Sci., 23, 515–535, https://doi.org/10.5194/hess-23-515-2019, https://doi.org/10.5194/hess-23-515-2019, 2019
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We estimate the phase lag of surface states and heat fluxes to incoming solar radiation at the sub-daily timescale. While evapotranspiration reveals a minor phase lag, the vapor pressure deficit used as input by Penman–Monteith approaches shows a large phase lag. The surface-to-air temperature gradient used by energy balance residual approaches shows a small phase shift in agreement with the sensible heat flux and thus explains the better correlation of these models at the sub-daily timescale.
Nevil Quinn, Günter Blöschl, András Bárdossy, Attilio Castellarin, Martyn Clark, Christophe Cudennec, Demetris Koutsoyiannis, Upmanu Lall, Lubomir Lichner, Juraj Parajka, Christa D. Peters-Lidard, Graham Sander, Hubert Savenije, Keith Smettem, Harry Vereecken, Alberto Viglione, Patrick Willems, Andy Wood, Ross Woods, Chong-Yu Xu, and Erwin Zehe
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Nevil Quinn, Günter Blöschl, András Bárdossy, Attilio Castellarin, Martyn Clark, Christophe Cudennec, Demetris Koutsoyiannis, Upmanu Lall, Lubomir Lichner, Juraj Parajka, Christa D. Peters-Lidard, Graham Sander, Hubert Savenije, Keith Smettem, Harry Vereecken, Alberto Viglione, Patrick Willems, Andy Wood, Ross Woods, Chong-Yu Xu, and Erwin Zehe
Hydrol. Earth Syst. Sci., 22, 5735–5739, https://doi.org/10.5194/hess-22-5735-2018, https://doi.org/10.5194/hess-22-5735-2018, 2018
Axel Kleidon and Maik Renner
Earth Syst. Dynam., 9, 1127–1140, https://doi.org/10.5194/esd-9-1127-2018, https://doi.org/10.5194/esd-9-1127-2018, 2018
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Turbulent fluxes represent an efficient way to transport heat and moisture from the surface into the atmosphere. Due to their inherently highly complex nature, they are commonly described by semiempirical relationships. What we show here is that these fluxes can also be predicted by viewing them as the outcome of a heat engine that operates between the warm surface and the cooler atmosphere and that works at its limit.
Mirko Mälicke, Sibylle K. Hassler, Markus Weiler, Theresa Blume, and Erwin Zehe
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2018-396, https://doi.org/10.5194/hess-2018-396, 2018
Manuscript not accepted for further review
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Ralf Loritz, Hoshin Gupta, Conrad Jackisch, Martijn Westhoff, Axel Kleidon, Uwe Ehret, and Erwin Zehe
Hydrol. Earth Syst. Sci., 22, 3663–3684, https://doi.org/10.5194/hess-22-3663-2018, https://doi.org/10.5194/hess-22-3663-2018, 2018
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In this study we explore the role of spatially distributed information on hydrological modeling. For that, we develop and test an approach which draws upon information theory and thermodynamic reasoning. We show that the proposed set of methods provide a powerful framework for understanding and diagnosing how and when process organization and functional similarity of hydrological systems emerge in time and, hence, when which landscape characteristic is important in a model application.
Conrad Jackisch and Erwin Zehe
Hydrol. Earth Syst. Sci., 22, 3639–3662, https://doi.org/10.5194/hess-22-3639-2018, https://doi.org/10.5194/hess-22-3639-2018, 2018
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We present a Lagrangian model for non-uniform soil water dynamics. It handles 2-D diffusion (based on a spatial random walk and implicit pore space redistribution) and 1-D advection in representative macropores (as film flow with dynamic interaction with the soil matrix). The interplay between the domains is calculated based on an energy-balance approach which does not require any additional parameterisation. Model tests give insight into the evolution of the non-uniform infiltration patterns.
Corina Buendía, Axel Kleidon, Stefano Manzoni, Björn Reu, and Amilcare Porporato
Biogeosciences, 15, 279–295, https://doi.org/10.5194/bg-15-279-2018, https://doi.org/10.5194/bg-15-279-2018, 2018
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Amazonia is highly biodiverse and of global importance for regulating the climate system. Because soils are highly weathered, phosphorus (P) is suggested to limit ecosystem productivity. Here, we evaluate the importance of P redistribution by animals using a simple mathematical model synthesizing the major processes of the Amazon P cycle. Our findings suggest that food web complexity plays an important role for sustaining the productivity of terra firme forests.
Simon Höllering, Jan Wienhöfer, Jürgen Ihringer, Luis Samaniego, and Erwin Zehe
Hydrol. Earth Syst. Sci., 22, 203–220, https://doi.org/10.5194/hess-22-203-2018, https://doi.org/10.5194/hess-22-203-2018, 2018
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Hydrological fingerprints are introduced as response targets for sensitivity analysis and combined with a conventional approach using streamflow data for a temporally resolved sensitivity analysis. The joint benefit of both approaches is presented for several headwater catchments. The approach allows discerning a clarified pattern for parameter influences pinpointed to diverse response characteristics and detecting even slight regional differences.
Axel Kleidon and Hubert H. G. Savenije
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2017-674, https://doi.org/10.5194/hess-2017-674, 2017
Revised manuscript not accepted
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At larger scales, the flow of rivers can often be described by a relatively simple, exponential decay, and it is unclear how such simple behaviour can be explained given that river basins show such vast complexity. Here, we use a highly idealised model to show that such simple behaviour can be explained by viewing it as the emergent consequence of the groundwater system (which feeds river flow) minimising its energy dissipation.
Axel Kleidon and Maik Renner
Earth Syst. Dynam., 8, 849–864, https://doi.org/10.5194/esd-8-849-2017, https://doi.org/10.5194/esd-8-849-2017, 2017
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We provide an explanation why land temperatures respond more strongly to global warming than ocean temperatures, a robust finding in observations and models that has so far not been understood well. We explain it by the different ways by which ocean and land surfaces buffer the strong variation in solar radiation and demonstrate this with a simple, physically based model. Our explanation also illustrates why nighttime temperatures warm more strongly, another robust finding of global warming.
Lisa Angermann, Conrad Jackisch, Niklas Allroggen, Matthias Sprenger, Erwin Zehe, Jens Tronicke, Markus Weiler, and Theresa Blume
Hydrol. Earth Syst. Sci., 21, 3727–3748, https://doi.org/10.5194/hess-21-3727-2017, https://doi.org/10.5194/hess-21-3727-2017, 2017
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This study investigates the temporal dynamics and response velocities of lateral preferential flow at the hillslope. The results are compared to catchment response behavior to infer the large-scale implications of the observed processes. A large portion of mobile water flows through preferential flow paths in the structured soils, causing an immediate discharge response. The study presents a methodological approach to cover the spatial and temporal domain of these highly heterogeneous processes.
Conrad Jackisch, Lisa Angermann, Niklas Allroggen, Matthias Sprenger, Theresa Blume, Jens Tronicke, and Erwin Zehe
Hydrol. Earth Syst. Sci., 21, 3749–3775, https://doi.org/10.5194/hess-21-3749-2017, https://doi.org/10.5194/hess-21-3749-2017, 2017
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Rapid subsurface flow in structured soils facilitates fast vertical and lateral redistribution of event water. We present its in situ exploration through local measurements and irrigation experiments. Special emphasis is given to a coherent combination of hydrological and geophysical methods. The study highlights that form and function operate as conjugated pairs. Dynamic imaging through time-lapse GPR was key to observing both and to identifying hydrologically relevant structures.
Simon Paul Seibert, Conrad Jackisch, Uwe Ehret, Laurent Pfister, and Erwin Zehe
Hydrol. Earth Syst. Sci., 21, 2817–2841, https://doi.org/10.5194/hess-21-2817-2017, https://doi.org/10.5194/hess-21-2817-2017, 2017
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Runoff production mechanisms and their corresponding physiographic controls continue to pose major research challenges in catchment hydrology. We propose innovative data-driven diagnostic signatures for overcoming the prevailing status quo in inter-comparison studies. Specifically, we present dimensionless double mass curves which allow us to infer information on runoff generation at the seasonal and annual timescales. The method is based on commonly available data.
Philipp Porada, Ulrich Pöschl, Axel Kleidon, Christian Beer, and Bettina Weber
Biogeosciences, 14, 1593–1602, https://doi.org/10.5194/bg-14-1593-2017, https://doi.org/10.5194/bg-14-1593-2017, 2017
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Lichens and bryophytes have been shown to release nitrous oxide, which is a strong greenhouse gas and atmospheric ozone-depleting agent. Here we apply a process-based computer model of lichens and bryophytes at the global scale, to estimate growth and respiration of the organisms. By relating respiration to nitrous oxide release, we simulate global nitrous oxide emissions of 0.27 (0.19–0.35) Tg yr−1. Moreover, we quantify different sources of uncertainty in nitrous oxide emission rates.
Ralf Loritz, Sibylle K. Hassler, Conrad Jackisch, Niklas Allroggen, Loes van Schaik, Jan Wienhöfer, and Erwin Zehe
Hydrol. Earth Syst. Sci., 21, 1225–1249, https://doi.org/10.5194/hess-21-1225-2017, https://doi.org/10.5194/hess-21-1225-2017, 2017
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In this study we examine whether we can step beyond the qualitative character of perceptual models by using them as a blueprint for setting up representative hillslope models. Thereby we test the hypothesis of whether a single hillslope can represent the functioning of an entire lower mesoscale catchment in a spatially aggregated way.
Simon Paul Seibert, Uwe Ehret, and Erwin Zehe
Hydrol. Earth Syst. Sci., 20, 3745–3763, https://doi.org/10.5194/hess-20-3745-2016, https://doi.org/10.5194/hess-20-3745-2016, 2016
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While the assessment of "vertical" (magnitude) errors of streamflow simulations is standard practice, "horizontal" (timing) errors are rarely considered. To assess their role, we propose a method to quantify both errors simultaneously which closely resembles visual hydrograph comparison. Our results reveal differences in time–magnitude error statistics for different flow conditions. The proposed method thus offers novel perspectives for model diagnostics and evaluation.
Erwin Zehe and Conrad Jackisch
Hydrol. Earth Syst. Sci., 20, 3511–3526, https://doi.org/10.5194/hess-20-3511-2016, https://doi.org/10.5194/hess-20-3511-2016, 2016
Anke Hildebrandt, Axel Kleidon, and Marcel Bechmann
Hydrol. Earth Syst. Sci., 20, 3441–3454, https://doi.org/10.5194/hess-20-3441-2016, https://doi.org/10.5194/hess-20-3441-2016, 2016
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This theoretical paper describes the energy fluxes and dissipation along the flow paths involved in root water uptake, an approach that is rarely taken. We show that this provides useful additional insights for understanding the biotic and abiotic impediments to root water uptake. This approach shall be applied to explore efficient water uptake strategies and help locate the limiting processes in the complex soil–plant–atmosphere system.
Simon Höllering, Jürgen Ihringer, Luis Samaniego, and Erwin Zehe
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2016-249, https://doi.org/10.5194/hess-2016-249, 2016
Preprint withdrawn
Maik Renner, Sibylle K. Hassler, Theresa Blume, Markus Weiler, Anke Hildebrandt, Marcus Guderle, Stanislaus J. Schymanski, and Axel Kleidon
Hydrol. Earth Syst. Sci., 20, 2063–2083, https://doi.org/10.5194/hess-20-2063-2016, https://doi.org/10.5194/hess-20-2063-2016, 2016
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We estimated forest transpiration (European beech) along a steep valley cross section. Atmospheric demand, obtained by the thermodynamic limit of maximum power, is the dominant control of transpiration at all sites.
To our surprise we find that transpiration is rather similar across sites with different aspect (north vs. south) and different stand structure due to systematically varying sap velocities. Such a compensation effect is highly relevant for modeling and upscaling of transpiration.
M. Westhoff, E. Zehe, P. Archambeau, and B. Dewals
Hydrol. Earth Syst. Sci., 20, 479–486, https://doi.org/10.5194/hess-20-479-2016, https://doi.org/10.5194/hess-20-479-2016, 2016
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We derived mathematical formulations of relations between relative wetness and gradients driving run-off and evaporation for a one-box model such that, when conductances are optimized with the maximum power principle, the model leads exactly to a point on the Budyko curve.
With dry spells and dynamics in actual evaporation added, the model compared well with catchment observations without calibrating any parameter.
The maximum-power principle may thus be used to derive the Budyko curve.
U. Scherer and E. Zehe
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hessd-12-3527-2015, https://doi.org/10.5194/hessd-12-3527-2015, 2015
Revised manuscript not accepted
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This paper presents the development, parameterization and verification of a process-based soil erosion model for the catchment scale, which balances necessary complexity with greatest possible simplicity. We used the hydrologic model CATFLOW as a platform and further developed it to CATFLOW-SED by integrating approaches to simulate soil erosion. The model was validated on a hierarchy of scales which is characteristic for the governing processes.
E. Zehe, U. Ehret, L. Pfister, T. Blume, B. Schröder, M. Westhoff, C. Jackisch, S. J. Schymanski, M. Weiler, K. Schulz, N. Allroggen, J. Tronicke, L. van Schaik, P. Dietrich, U. Scherer, J. Eccard, V. Wulfmeyer, and A. Kleidon
Hydrol. Earth Syst. Sci., 18, 4635–4655, https://doi.org/10.5194/hess-18-4635-2014, https://doi.org/10.5194/hess-18-4635-2014, 2014
C. Buendía, S. Arens, T. Hickler, S. I. Higgins, P. Porada, and A. Kleidon
Biogeosciences, 11, 3661–3683, https://doi.org/10.5194/bg-11-3661-2014, https://doi.org/10.5194/bg-11-3661-2014, 2014
A. Kleidon, M. Renner, and P. Porada
Hydrol. Earth Syst. Sci., 18, 2201–2218, https://doi.org/10.5194/hess-18-2201-2014, https://doi.org/10.5194/hess-18-2201-2014, 2014
U. Ehret, H. V. Gupta, M. Sivapalan, S. V. Weijs, S. J. Schymanski, G. Blöschl, A. N. Gelfan, C. Harman, A. Kleidon, T. A. Bogaard, D. Wang, T. Wagener, U. Scherer, E. Zehe, M. F. P. Bierkens, G. Di Baldassarre, J. Parajka, L. P. H. van Beek, A. van Griensven, M. C. Westhoff, and H. C. Winsemius
Hydrol. Earth Syst. Sci., 18, 649–671, https://doi.org/10.5194/hess-18-649-2014, https://doi.org/10.5194/hess-18-649-2014, 2014
S. P. K. Bowring, L. M. Miller, L. Ganzeveld, and A. Kleidon
Earth Syst. Dynam., 5, 43–53, https://doi.org/10.5194/esd-5-43-2014, https://doi.org/10.5194/esd-5-43-2014, 2014
J. Wienhöfer and E. Zehe
Hydrol. Earth Syst. Sci., 18, 121–138, https://doi.org/10.5194/hess-18-121-2014, https://doi.org/10.5194/hess-18-121-2014, 2014
A. Kleidon and M. Renner
Earth Syst. Dynam., 4, 455–465, https://doi.org/10.5194/esd-4-455-2013, https://doi.org/10.5194/esd-4-455-2013, 2013
M. Liu, A. Bárdossy, and E. Zehe
Hydrol. Earth Syst. Sci., 17, 4685–4699, https://doi.org/10.5194/hess-17-4685-2013, https://doi.org/10.5194/hess-17-4685-2013, 2013
P. Porada, B. Weber, W. Elbert, U. Pöschl, and A. Kleidon
Biogeosciences, 10, 6989–7033, https://doi.org/10.5194/bg-10-6989-2013, https://doi.org/10.5194/bg-10-6989-2013, 2013
E. Zehe, U. Ehret, T. Blume, A. Kleidon, U. Scherer, and M. Westhoff
Hydrol. Earth Syst. Sci., 17, 4297–4322, https://doi.org/10.5194/hess-17-4297-2013, https://doi.org/10.5194/hess-17-4297-2013, 2013
E. Simoncini, N. Virgo, and A. Kleidon
Earth Syst. Dynam., 4, 317–331, https://doi.org/10.5194/esd-4-317-2013, https://doi.org/10.5194/esd-4-317-2013, 2013
M. C. Westhoff and E. Zehe
Hydrol. Earth Syst. Sci., 17, 3141–3157, https://doi.org/10.5194/hess-17-3141-2013, https://doi.org/10.5194/hess-17-3141-2013, 2013
A. Kleidon and M. Renner
Hydrol. Earth Syst. Sci., 17, 2873–2892, https://doi.org/10.5194/hess-17-2873-2013, https://doi.org/10.5194/hess-17-2873-2013, 2013
A. Kleidon, E. Zehe, U. Ehret, and U. Scherer
Hydrol. Earth Syst. Sci., 17, 225–251, https://doi.org/10.5194/hess-17-225-2013, https://doi.org/10.5194/hess-17-225-2013, 2013
J. Wienhöfer, K. Germer, F. Lindenmaier, A. Färber, and E. Zehe
Hydrol. Earth Syst. Sci., 13, 1145–1161, https://doi.org/10.5194/hess-13-1145-2009, https://doi.org/10.5194/hess-13-1145-2009, 2009
Related subject area
Subject: Hillslope hydrology | Techniques and Approaches: Theory development
Energy efficiency in transient surface runoff and sediment fluxes on hillslopes – a concept to quantify the effectiveness of extreme events
Soil moisture: variable in space but redundant in time
A history of the concept of time of concentration
Are dissolved organic carbon concentrations in riparian groundwater linked to hydrological pathways in the boreal forest?
The influence of diurnal snowmelt and transpiration on hillslope throughflow and stream response
Slope–velocity equilibrium and evolution of surface roughness on a stony hillslope
Assessment of land use impact on hydraulic threshold conditions for gully head cut initiation
Technical note: Inference in hydrology from entropy balance considerations
Ecohydrological effects of stream–aquifer water interaction: a case study of the Heihe River basin, northwestern China
Hillslope-scale experiment demonstrates the role of convergence during two-step saturation
Impacts of climate variability on wetland salinization in the North American prairies
Resolving structural errors in a spatially distributed hydrologic model using ensemble Kalman filter state updates
Runoff formation from experimental plot, field, to small catchment scales in agricultural North Huaihe River Plain, China
Addressing secondary school students' everyday ideas about freshwater springs in order to develop an instructional tool to promote conceptual reconstruction
Hydrological heterogeneity in Mediterranean reclaimed slopes: runoff and sediment yield at the patch and slope scales along a gradient of overland flow
Effect of hydraulic parameters on sediment transport capacity in overland flow over erodible beds
Large-scale runoff generation – parsimonious parameterisation using high-resolution topography
Estimating surface fluxes over middle and upper streams of the Heihe River Basin with ASTER imagery
Seasonal evaluation of the land surface scheme HTESSEL against remote sensing derived energy fluxes of the Transdanubian region in Hungary
Analysis of surface soil moisture patterns in agricultural landscapes using Empirical Orthogonal Functions
Modelling field scale water partitioning using on-site observations in sub-Saharan rainfed agriculture
Evaluation of alternative formulae for calculation of surface temperature in snowmelt models using frequency analysis of temperature observations
Growth of a high-elevation large inland lake, associated with climate change and permafrost degradation in Tibet
Selection of an appropriately simple storm runoff model
Spatial mapping of leaf area index using hyperspectral remote sensing for hydrological applications with a particular focus on canopy interception
Use of satellite-derived data for characterization of snow cover and simulation of snowmelt runoff through a distributed physically based model of runoff generation
A contribution to understanding the turbidity behaviour in an Amazon floodplain
Global spatial optimization with hydrological systems simulation: application to land-use allocation and peak runoff minimization
Implementing small scale processes at the soil-plant interface – the role of root architectures for calculating root water uptake profiles
Uncertainty in the determination of soil hydraulic parameters and its influence on the performance of two hydrological models of different complexity
Modelling the inorganic nitrogen behaviour in a small Mediterranean forested catchment, Fuirosos (Catalonia)
Soil bioengineering for risk mitigation and environmental restoration in a humid tropical area
Climate and terrain factors explaining streamflow response and recession in Australian catchments
Soil moisture active and passive microwave products: intercomparison and evaluation over a Sahelian site
Characteristics of 2-D convective structures in Catalonia (NE Spain): an analysis using radar data and GIS
The contribution of groundwater discharge to the overall water budget of two typical Boreal lakes in Alberta/Canada estimated from a radon mass balance
Actual daily evapotranspiration estimated from MERIS and AATSR data over the Chinese Loess Plateau
Calibration analysis for water storage variability of the global hydrological model WGHM
Earth's Critical Zone and hydropedology: concepts, characteristics, and advances
Reducing scale dependence in TOPMODEL using a dimensionless topographic index
Spatial variation in soil active-layer geochemistry across hydrologic margins in polar desert ecosystems
Nitrogen retention in natural Mediterranean wetland-streams affected by agricultural runoff
Recent trends in groundwater levels in a highly seasonal hydrological system: the Ganges-Brahmaputra-Meghna Delta
Water availability, demand and reliability of in situ water harvesting in smallholder rain-fed agriculture in the Thukela River Basin, South Africa
Variability of the groundwater sulfate concentration in fractured rock slopes: a tool to identify active unstable areas
Copula based multisite model for daily precipitation simulation
Solid phase evolution in the Biosphere 2 hillslope experiment as predicted by modeling of hydrologic and geochemical fluxes
Deriving a global river network map and its sub-grid topographic characteristics from a fine-resolution flow direction map
Surface water acidification and critical loads: exploring the F-factor
Modelling runoff at the plot scale taking into account rainfall partitioning by vegetation: application to stemflow of banana (Musa spp.) plant
Samuel Schroers, Ulrike Scherer, and Erwin Zehe
Hydrol. Earth Syst. Sci., 27, 2535–2557, https://doi.org/10.5194/hess-27-2535-2023, https://doi.org/10.5194/hess-27-2535-2023, 2023
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The hydrological cycle shapes our landscape. With an accelerating change of the world's climate and hydrological dynamics, concepts of evolution of natural systems become more important. In this study, we elaborated a thermodynamic framework for runoff and sediment transport and show from model results as well as from measurements during extreme events that the developed concept is useful for understanding the evolution of the system's mass, energy, and entropy fluxes.
Mirko Mälicke, Sibylle K. Hassler, Theresa Blume, Markus Weiler, and Erwin Zehe
Hydrol. Earth Syst. Sci., 24, 2633–2653, https://doi.org/10.5194/hess-24-2633-2020, https://doi.org/10.5194/hess-24-2633-2020, 2020
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We could show that distributed soil moisture time series bear a considerable amount of information about dynamic changes in soil moisture. We developed a new method to describe spatial patterns and analyze their persistency. By combining uncertainty propagation with information theory, we were able to calculate the information content of spatial similarity with respect to measurement uncertainty. This does help to understand when and why the soil is drying in an organized manner.
Keith J. Beven
Hydrol. Earth Syst. Sci., 24, 2655–2670, https://doi.org/10.5194/hess-24-2655-2020, https://doi.org/10.5194/hess-24-2655-2020, 2020
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The concept of time of concentration in the analysis of catchment responses dates back over 150 years. It is normally discussed in terms of the velocity of flow of a water particle from the furthest part of a catchment to the outlet. This is also the basis for the definition in the International Glossary of Hydrology, but this is in conflict with the way in which it is commonly used. This paper provides a clarification of the concept and its correct useage.
Stefan W. Ploum, Hjalmar Laudon, Andrés Peralta-Tapia, and Lenka Kuglerová
Hydrol. Earth Syst. Sci., 24, 1709–1720, https://doi.org/10.5194/hess-24-1709-2020, https://doi.org/10.5194/hess-24-1709-2020, 2020
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Near-stream areas, or riparian zones, are important for the health of streams and rivers. If these areas are disturbed by forestry or other anthropogenic activity, the water quality and all life in streams may be at risk. We examined which riparian areas are particularly sensitive. We found that only a few wet areas bring most of the rainwater from the landscape to the stream, and they have a unique water quality. In order to maintain healthy streams and rivers, these areas should be protected.
Brett Woelber, Marco P. Maneta, Joel Harper, Kelsey G. Jencso, W. Payton Gardner, Andrew C. Wilcox, and Ignacio López-Moreno
Hydrol. Earth Syst. Sci., 22, 4295–4310, https://doi.org/10.5194/hess-22-4295-2018, https://doi.org/10.5194/hess-22-4295-2018, 2018
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The hydrology of high-elevation headwaters in midlatitudes is typically dominated by snow processes, which are very sensitive to changes in energy inputs at the top of the snowpack. We present a data analyses that reveal how snowmelt and transpiration waves induced by the diurnal solar cycle generate water pressure fluctuations that propagate through the snowpack–hillslope–stream system. Changes in diurnal energy inputs alter these pressure cycles with potential ecohydrological consequences.
Mark A. Nearing, Viktor O. Polyakov, Mary H. Nichols, Mariano Hernandez, Li Li, Ying Zhao, and Gerardo Armendariz
Hydrol. Earth Syst. Sci., 21, 3221–3229, https://doi.org/10.5194/hess-21-3221-2017, https://doi.org/10.5194/hess-21-3221-2017, 2017
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This study presents novel scientific understanding about the way that hillslope surfaces form when exposed to rainfall erosion, and the way those surfaces interact with and influence runoff velocities during rain events. The data show that hillslope surfaces form such that flow velocities are independent of slope gradient and dependent on flow rates alone. This result represents a shift in thinking about surface water runoff.
Aliakbar Nazari Samani, Qiuwen Chen, Shahram Khalighi, Robert James Wasson, and Mohammad Reza Rahdari
Hydrol. Earth Syst. Sci., 20, 3005–3012, https://doi.org/10.5194/hess-20-3005-2016, https://doi.org/10.5194/hess-20-3005-2016, 2016
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We hypothesized that land use had important effects on hydraulic threshold conditions for gully head cut initiation. We investigated the effects using an experimental plot. The results indicated that the use of a threshold value of τcr = 35 dyne cm−2 and ωu = 0.4 Cm S−1 in physically based soil erosion models is susceptible to high uncertainty when assessing gully erosion.
Stefan J. Kollet
Hydrol. Earth Syst. Sci., 20, 2801–2809, https://doi.org/10.5194/hess-20-2801-2016, https://doi.org/10.5194/hess-20-2801-2016, 2016
Yujin Zeng, Zhenghui Xie, Yan Yu, Shuang Liu, Linying Wang, Binghao Jia, Peihua Qin, and Yaning Chen
Hydrol. Earth Syst. Sci., 20, 2333–2352, https://doi.org/10.5194/hess-20-2333-2016, https://doi.org/10.5194/hess-20-2333-2016, 2016
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In arid areas, stream–aquifer water exchange essentially sustains the growth and subsistence of riparian ecosystem. To quantify this effect for intensity and range, a stream–riverbank scheme was incorporated into a state-of-the-art land model, and some runs were set up over Heihe River basin, northwestern China. The results show that the hydrology circle is significantly changed, and the ecological system is benefitted greatly by the river water lateral transfer within a 1 km range to the stream.
A. I. Gevaert, A. J. Teuling, R. Uijlenhoet, S. B. DeLong, T. E. Huxman, L. A. Pangle, D. D. Breshears, J. Chorover, J. D. Pelletier, S. R. Saleska, X. Zeng, and P. A. Troch
Hydrol. Earth Syst. Sci., 18, 3681–3692, https://doi.org/10.5194/hess-18-3681-2014, https://doi.org/10.5194/hess-18-3681-2014, 2014
U. Nachshon, A. Ireson, G. van der Kamp, S. R. Davies, and H. S. Wheater
Hydrol. Earth Syst. Sci., 18, 1251–1263, https://doi.org/10.5194/hess-18-1251-2014, https://doi.org/10.5194/hess-18-1251-2014, 2014
J. H. Spaaks and W. Bouten
Hydrol. Earth Syst. Sci., 17, 3455–3472, https://doi.org/10.5194/hess-17-3455-2013, https://doi.org/10.5194/hess-17-3455-2013, 2013
S. Han, D. Xu, and S. Wang
Hydrol. Earth Syst. Sci., 16, 3115–3125, https://doi.org/10.5194/hess-16-3115-2012, https://doi.org/10.5194/hess-16-3115-2012, 2012
S. Reinfried, S. Tempelmann, and U. Aeschbacher
Hydrol. Earth Syst. Sci., 16, 1365–1377, https://doi.org/10.5194/hess-16-1365-2012, https://doi.org/10.5194/hess-16-1365-2012, 2012
L. Merino-Martín, M. Moreno-de las Heras, S. Pérez-Domingo, T. Espigares, and J. M. Nicolau
Hydrol. Earth Syst. Sci., 16, 1305–1320, https://doi.org/10.5194/hess-16-1305-2012, https://doi.org/10.5194/hess-16-1305-2012, 2012
M. Ali, G. Sterk, M. Seeger, M. Boersema, and P. Peters
Hydrol. Earth Syst. Sci., 16, 591–601, https://doi.org/10.5194/hess-16-591-2012, https://doi.org/10.5194/hess-16-591-2012, 2012
L. Gong, S. Halldin, and C.-Y. Xu
Hydrol. Earth Syst. Sci., 15, 2481–2494, https://doi.org/10.5194/hess-15-2481-2011, https://doi.org/10.5194/hess-15-2481-2011, 2011
W. Ma, Y. Ma, Z. Hu, Z. Su, J. Wang, and H. Ishikawa
Hydrol. Earth Syst. Sci., 15, 1403–1413, https://doi.org/10.5194/hess-15-1403-2011, https://doi.org/10.5194/hess-15-1403-2011, 2011
E. L. Wipfler, K. Metselaar, J. C. van Dam, R. A. Feddes, E. van Meijgaard, L. H. van Ulft, B. van den Hurk, S. J. Zwart, and W. G. M. Bastiaanssen
Hydrol. Earth Syst. Sci., 15, 1257–1271, https://doi.org/10.5194/hess-15-1257-2011, https://doi.org/10.5194/hess-15-1257-2011, 2011
W. Korres, C. N. Koyama, P. Fiener, and K. Schneider
Hydrol. Earth Syst. Sci., 14, 751–764, https://doi.org/10.5194/hess-14-751-2010, https://doi.org/10.5194/hess-14-751-2010, 2010
H. Makurira, H. H. G. Savenije, and S. Uhlenbrook
Hydrol. Earth Syst. Sci., 14, 627–638, https://doi.org/10.5194/hess-14-627-2010, https://doi.org/10.5194/hess-14-627-2010, 2010
C. H. Luce and D. G. Tarboton
Hydrol. Earth Syst. Sci., 14, 535–543, https://doi.org/10.5194/hess-14-535-2010, https://doi.org/10.5194/hess-14-535-2010, 2010
J. Liu, S. Kang, T. Gong, and A. Lu
Hydrol. Earth Syst. Sci., 14, 481–489, https://doi.org/10.5194/hess-14-481-2010, https://doi.org/10.5194/hess-14-481-2010, 2010
A. I. J. M. van Dijk
Hydrol. Earth Syst. Sci., 14, 447–458, https://doi.org/10.5194/hess-14-447-2010, https://doi.org/10.5194/hess-14-447-2010, 2010
H. H. Bulcock and G. P. W. Jewitt
Hydrol. Earth Syst. Sci., 14, 383–392, https://doi.org/10.5194/hess-14-383-2010, https://doi.org/10.5194/hess-14-383-2010, 2010
L. S. Kuchment, P. Romanov, A. N. Gelfan, and V. N. Demidov
Hydrol. Earth Syst. Sci., 14, 339–350, https://doi.org/10.5194/hess-14-339-2010, https://doi.org/10.5194/hess-14-339-2010, 2010
E. Alcântara, E. Novo, J. Stech, J. Lorenzzetti, C. Barbosa, A. Assireu, and A. Souza
Hydrol. Earth Syst. Sci., 14, 351–364, https://doi.org/10.5194/hess-14-351-2010, https://doi.org/10.5194/hess-14-351-2010, 2010
I.-Y. Yeo and J.-M. Guldmann
Hydrol. Earth Syst. Sci., 14, 325–338, https://doi.org/10.5194/hess-14-325-2010, https://doi.org/10.5194/hess-14-325-2010, 2010
C. L. Schneider, S. Attinger, J.-O. Delfs, and A. Hildebrandt
Hydrol. Earth Syst. Sci., 14, 279–289, https://doi.org/10.5194/hess-14-279-2010, https://doi.org/10.5194/hess-14-279-2010, 2010
G. Baroni, A. Facchi, C. Gandolfi, B. Ortuani, D. Horeschi, and J. C. van Dam
Hydrol. Earth Syst. Sci., 14, 251–270, https://doi.org/10.5194/hess-14-251-2010, https://doi.org/10.5194/hess-14-251-2010, 2010
C. Medici, S. Bernal, A. Butturini, F. Sabater, M. Martin, A. J. Wade, and F. Frances
Hydrol. Earth Syst. Sci., 14, 223–237, https://doi.org/10.5194/hess-14-223-2010, https://doi.org/10.5194/hess-14-223-2010, 2010
A. Petrone and F. Preti
Hydrol. Earth Syst. Sci., 14, 239–250, https://doi.org/10.5194/hess-14-239-2010, https://doi.org/10.5194/hess-14-239-2010, 2010
A. I. J. M. van Dijk
Hydrol. Earth Syst. Sci., 14, 159–169, https://doi.org/10.5194/hess-14-159-2010, https://doi.org/10.5194/hess-14-159-2010, 2010
C. Gruhier, P. de Rosnay, S. Hasenauer, T. Holmes, R. de Jeu, Y. Kerr, E. Mougin, E. Njoku, F. Timouk, W. Wagner, and M. Zribi
Hydrol. Earth Syst. Sci., 14, 141–156, https://doi.org/10.5194/hess-14-141-2010, https://doi.org/10.5194/hess-14-141-2010, 2010
M. Barnolas, T. Rigo, and M. C. Llasat
Hydrol. Earth Syst. Sci., 14, 129–139, https://doi.org/10.5194/hess-14-129-2010, https://doi.org/10.5194/hess-14-129-2010, 2010
A. Schmidt, J. J. Gibson, I. R. Santos, M. Schubert, K. Tattrie, and H. Weiss
Hydrol. Earth Syst. Sci., 14, 79–89, https://doi.org/10.5194/hess-14-79-2010, https://doi.org/10.5194/hess-14-79-2010, 2010
R. Liu, J. Wen, X. Wang, L. Wang, H. Tian, T. T. Zhang, X. K. Shi, J. H. Zhang, and SH. N. Lv
Hydrol. Earth Syst. Sci., 14, 47–58, https://doi.org/10.5194/hess-14-47-2010, https://doi.org/10.5194/hess-14-47-2010, 2010
S. Werth and A. Güntner
Hydrol. Earth Syst. Sci., 14, 59–78, https://doi.org/10.5194/hess-14-59-2010, https://doi.org/10.5194/hess-14-59-2010, 2010
H. Lin
Hydrol. Earth Syst. Sci., 14, 25–45, https://doi.org/10.5194/hess-14-25-2010, https://doi.org/10.5194/hess-14-25-2010, 2010
A. Ducharne
Hydrol. Earth Syst. Sci., 13, 2399–2412, https://doi.org/10.5194/hess-13-2399-2009, https://doi.org/10.5194/hess-13-2399-2009, 2009
J. E. Barrett, M. N. Gooseff, and C. Takacs-Vesbach
Hydrol. Earth Syst. Sci., 13, 2349–2358, https://doi.org/10.5194/hess-13-2349-2009, https://doi.org/10.5194/hess-13-2349-2009, 2009
V. García-García, R. Gómez, M. R. Vidal-Abarca, and M. L. Suárez
Hydrol. Earth Syst. Sci., 13, 2359–2371, https://doi.org/10.5194/hess-13-2359-2009, https://doi.org/10.5194/hess-13-2359-2009, 2009
M. Shamsudduha, R. E. Chandler, R. G. Taylor, and K. M. Ahmed
Hydrol. Earth Syst. Sci., 13, 2373–2385, https://doi.org/10.5194/hess-13-2373-2009, https://doi.org/10.5194/hess-13-2373-2009, 2009
J. C. M. Andersson, A. J. B. Zehnder, G. P. W. Jewitt, and H. Yang
Hydrol. Earth Syst. Sci., 13, 2329–2347, https://doi.org/10.5194/hess-13-2329-2009, https://doi.org/10.5194/hess-13-2329-2009, 2009
S. Binet, L. Spadini, C. Bertrand, Y. Guglielmi, J. Mudry, and C. Scavia
Hydrol. Earth Syst. Sci., 13, 2315–2327, https://doi.org/10.5194/hess-13-2315-2009, https://doi.org/10.5194/hess-13-2315-2009, 2009
A. Bárdossy and G. G. S. Pegram
Hydrol. Earth Syst. Sci., 13, 2299–2314, https://doi.org/10.5194/hess-13-2299-2009, https://doi.org/10.5194/hess-13-2299-2009, 2009
K. Dontsova, C. I. Steefel, S. Desilets, A. Thompson, and J. Chorover
Hydrol. Earth Syst. Sci., 13, 2273–2286, https://doi.org/10.5194/hess-13-2273-2009, https://doi.org/10.5194/hess-13-2273-2009, 2009
D. Yamazaki, T. Oki, and S. Kanae
Hydrol. Earth Syst. Sci., 13, 2241–2251, https://doi.org/10.5194/hess-13-2241-2009, https://doi.org/10.5194/hess-13-2241-2009, 2009
L. Rapp and K. Bishop
Hydrol. Earth Syst. Sci., 13, 2191–2201, https://doi.org/10.5194/hess-13-2191-2009, https://doi.org/10.5194/hess-13-2191-2009, 2009
J.-B. Charlier, R. Moussa, P. Cattan, Y.-M. Cabidoche, and M. Voltz
Hydrol. Earth Syst. Sci., 13, 2151–2168, https://doi.org/10.5194/hess-13-2151-2009, https://doi.org/10.5194/hess-13-2151-2009, 2009
Cited articles
Abrahams, A. D., Parsons, A. J., and Shiu-Hung, L.: Field experiments on the
resistance to overland flow on desert hillslopes, in: Erosion, Transport and Deposition Processes, Proceedings of the Jerusalem Workshop, March–April 1987, Jerusalem, IAHS Publ. 189, 1990.
Abrahams, A. D., Parsons, J. D., and Wainwright, J.: Resistance to overland flow on semiarid grassland and shrubland hillslopes, Walnut Gulch, southern
Arizona, J. Hydrol., 156, 431–446, 1994.
Achten, W. M. J., Dondeyne, S., Mugogo, S., Kafiriti, E., Poesen, J.,
Deckers, J., and Muys, B.: Gully erosion in South Eastern Tanzania: spatial
distribution and topographic thresholds, Z. Geomorphol., 52, 225–235,
https://doi.org/10.1127/0372-8854/2008/0052-0225, 2008.
Ali, M., Sterk, G., Seeger, M., Boersema, M., and Peters, P.: Effect of
hydraulic parameters on sediment transport capacity in overland flow over
erodible beds, Hydrol. Earth Syst. Sci., 16, 591–601, https://doi.org/10.5194/hess-16-591-2012, 2012.
Bagnold, R. A.: An approach to the sediment transport problem from general
physics, US Geol. Surv. Prof. Paper 422-I, US Geological Survey, https://pubs.usgs.gov/pp/0422i/report.pdf (last access: 15 June 2022), 1966.
Bejan, A. and Lorente, S.: The constructal law of design and evolution in
nature, Philos. T. Roy. Soc. Lond. B, 365, 1335–1347, https://doi.org/10.1098/rstb.2009.0302, 2010.
Berger, C., Schulze, M., Rieke-Zapp, D. H., and Schlunegger, F.: Rill
development and soil erosion: a laboratory study of slope and rainfall
intensity, Earth Surf. Proc. Land., 35, 1456–1467, 2010.
Berkowitz, B. and Zehe, E.: Surface water and groundwater: unifying
conceptualization and quantification of the two “water worlds”, Hydrol.
Earth Syst. Sci., 24, 1831–1858, https://doi.org/10.5194/hess-24-1831-2020, 2020.
Beven, K. J.: Equifinality and uncertainty in geomorphological modelling, in: The Scientific Nature of Geomorphology, edited by: Rhoads, B. L. and Thorn, C. E., Wiley, Chichester, 289–313, ISBN 0-471-96811-0, 1996.
Beven, K. J.: Robert E. Horton's perceptual model of infiltration processes,
Hydrol. Process., 18, 3447–3460, https://doi.org/10.1002/hyp.5740, 2004.
Dunne, T. and Black, R. D.: An experimental investigation of runoff production in permeable soils, Water Resour. Res., 6, 478–490, https://doi.org/10.1029/WR006i002p00478, 1970.
Dunne, T. and Dietrich, W. E.: Experimental investigation of Horton overland
flow on tropical hillslopes. Part II: Hydraulic characteristics and
hillslope hydrographs, Z. Geomorphol., 35, 60–80, 1980.
Emmett, W. W.: The Hydraulics of Overland Flow on Hillslopes, US Geol. Surv. Prof. Paper 662, US Geological Survey, https://pubs.usgs.gov/pp/0662a/report.pdf (last access: 15 June 2022), 1970.
Engman, T. E.: Roughness coefficients for routing surface runoff, J. Irrig. Drain. Eng., 112, 39–53, 1986.
Evans, R. and Taylor, J.: Some methods of directly assessing water erosion of
cultivated land – a comparison of measurements made on plots and in fields,
Prog. Phys. Geogr., 19, 115–129, 1995.
Faulkner, H.: Connectivity as a crucial determinant of badland morphology and evolution, Geomorphology, 100, 91–103, https://doi.org/10.1016/j.geomorph.2007.04.039, 2008.
Gerlinger, K.: Erosionsprozesse auf Lössböden: Experimente und
Modellierung, Dissertation, Nr. 194, Mitteilungen des Institutes für Wasserbau und Kulturtechnik der Universität Karlsruhe (TH), Karlsruhe, 1997.
Gómez, J. A., Darboux, F., and Nearing, M. A.: Development and evolution of rill networks under simulated rainfall, Water Resour. Res., 39, 1148, https://doi.org/10.1029/2002WR001437, 2003.
Govers, G.: Relationship between discharge, velocity and flow area for rills
eroding loose, non-layered materials, Earth. Surf. Proc. Land., 17, 515–528, 1992.
Govers, G., Takken, I., and Helming, K.: Soil roughness and overland flow,
Agronomie, 20, 131–146, https://doi.org/10.1016/0304-1131(75)90001-6, 2000.
Graeff, T., Zehe, E., Reusser, D., Lück, E., Schröder, B., Wenk, G., John, H., and Bronstert, A.: Process identification through rejection of model structures in a mid-mountainous rural catchment: observations of rainfall-runoff response, geophysical conditions and model inter-comparison, Hydrol. Process., 23, 702–718, https://doi.org/10.1002/hyp.7171, 2009.
Hooshyar, M., Bonetti, S., Singh, A.; Foufoula-Georgiou, E., and Porporato, A.: From turbulence to landscapes: Logarithmic mean profiles in bounded complex systems, Phys. Rev. E, 102, 33107, https://doi.org/10.1103/PhysRevE.102.033107, 2020.
Horton, R. E.: Erosional development of streams and their drainage basins;
Hydrophysical approach to quantitive morphology, Bull. Geol. Soc. Am., 56, 275–370, 1945.
Howard, A. D.: Theoretical Model of Optimal Drainage Networks, Water Resour. Res., 9, 2107–2117, 1990.
Ijjasz Vasquez, E. J., Bras, R. L., Rodriguez-Iturbe, I., Rigon, R., and
Rinaldo, A.: Are river basins optimal channel networks?, Adv. Water Resour., 16, 69–79, 1993.
Kirkby, M. J.: Hillslope process-response models based in the continuity
equation, Spec. Publ. Inst. Brit. Geogr., 3, 15–30, 1971.
Kleidon, A.: Thermodynamic foundations of the Earth system, Cambridge University Press, New York, NY, ISBN 9781107029941, 2016.
Kleidon, A., Zehe, E., Ehret, U., and Scherer, U.: Thermodynamics, maximum
power, and the dynamics of preferential river flow structures at the
continental scale, Hydrol. Earth Syst. Sci., 17, 225–251, https://doi.org/10.5194/hess-17-225-2013, 2013.
Kleidon, A., Renner, M., and Porada, P.: Estimates of the climatological land
surface energy and water balance derived from maximum convective power,
Hydrol. Earth Syst. Sci., 18, 2201–2218, https://doi.org/10.5194/hess-18-2201-2014, 2014.
Lawrence, D. S. L.: Macroscale surface roughness and frictional resistance
in overland flow, Earth. Surf. Proc. Land., 22, 365–382, 1997.
Leopold, L. B., Langbein, W. B., and Walter, B.: The concept of entropy in landscape evolution, US. Geol. Surv. Prof. Paper 500-A, US Geological Survey, https://doi.org/10.3133/pp500A, 1962.
Loritz, R., Hassler, S. K., Jackisch, C., Allroggen, N., van Schaik, L.,
Wienhöfer, J., and Zehe, E.: Picturing and modeling catchments by
representative hillslopes, Hydrol. Earth Syst. Sci., 21, 1225–1249.
https://doi.org/10.5194/hess-21-1225-2017, 2017.
Mualem, Y.: A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour. Res., 12, 513–522, https://doi.org/10.1029/WR012i003p00513, 1976.
Nearing, M. A., Kimoto, A., Nichols, M. H., and Ritchie, J. C.: Spatial patterns of soil erosion and deposition in two small, semiarid watersheds, J.
Geophys. Res., 110, F04020, https://doi.org/10.1029/2005JF000290, 2005.
Nearing, M. A., Polyakov, V. O., Nichols, M. H., Hernandez, M., Li, L., Zhao, Y., and Armendariz, G.: Slope–velocity equilibrium and evolution of surface roughness on a stony hillslope, Hydrol. Earth Syst. Sci., 21, 3221–3229, https://doi.org/10.5194/hess-21-3221-2017, 2017.
Paik, K. and Kumar, P.: Optimality approaches to describe characteristic
fluvial patterns on landscapes, Philos. T. Roy. Soc. Lond. B, 365, 1387–1395, https://doi.org/10.1098/rstb.2009.0303, 2010.
Paltridge, G. W.: Climate and thermodynamic systems of maximum dissipation,
Nature, 279, 630–631, https://doi.org/10.1038/279630a0, 1979.
Parsons, A. J., Abrahams, A. D., and Luk, S. H.: Hydraulics of interrill
overland flow on a semi-arid hillslope, Arizona, J. Hydrol., 117, 255–273, 1990.
Phelps, H. O.: Friction coefficients for laminar sheet flow over rough
surfaces, Proc. Inst. Civ. Eng., 59, 21–41, https://doi.org/10.1680/iicep.1975.3840, 1975.
Rieke-Zapp, D. H. and Nearing, M. A.: Slope shape effects on erosion: a
laboratory study, Soil Sci. Soc. Am. J., 69, 1463–1471, 2005.
Rodriguez-Iturbe, I., Rinaldo, A., Rigon, R., Bras, R. L., Marani, A., and
Ijjasz-Vasquez, E.: Energy dissipation, runoff production, and the
threedimensional structure of river basins, Water Resour. Res., 4, 1095–1103, 1992.
Rodriguez-Iturbe, I., Marani, M., Rigon, R., and Rinaldo, A.: Self-organized
river basin landscapes: Fractal and multifractal characteristics, Water Resour. Res., 30, 3531–3539, https://doi.org/10.1029/94WR01493, 1994.
Schäfer, D.: Bodenhydraulische Eigenschaften eines Kleineinzugsgebietes – Vergleich und Bewertung unterschiedlicher Verfahren, Dissertation, Dissertationsreihe am Institut für Hydromechanik, KIT – Karlsruher Institut für Technologie, Karlsruhe, 1999.
Scherer, U.: Prozessbasierte Modellierung der Bodenerosion in einer
Lösslandschaft, Karlsruhe, Schriftenreihe SWW 129, Univ., Diss., https://publikationen.bibliothek.kit.edu/1000009238/433441 (last access: 15 June 2022), 2008.
Scherer, U., Zehe, E., Träbing, K., and Gerlinger, K.: Prediction of soil
detachment in agricultural loess catchments: Model development and
parameterisation, Catena, 90, 63–75, https://doi.org/10.1016/j.catena.2011.11.003, 2012.
Schierholz, I., Schäfer, D., and Kolle, O.: The Weiherbach data set: An
experimental data set for pesticide model testing in the field scale, Agr. Water Manage., 44, 43–61, https://doi.org/10.1016/S0378-3774(99)00083-9, 2000.
Schlichting, H. and Gersten, K.: Boundary-Layer Theory, Springer, Berlin, Heidelberg, https://doi.org/10.1007/978-3-662-52919-5, 2017.
Schumm, S. A., Harvey, M. D., and Watson, C. C.: Incised Channels: Morphology, Dynamics and Control, Water Resources Publications, ISBN 978-1887201643, 1984.
Seibert, S., Auerswald, K., Fiener, P., Disse, M., Martin, W., Haider, A.
M., and Gerlinger, K.: Surface runoff from arable land – a homogenized data base of 726 rainfall simulation experiments, CRC/TR32 Database (TR32DB), https://doi.org/10.1594/GFZ.TR32.2, 2011.
Shih, H. M. and Yang, C. T.: Estimating overland flow erosion capacity using
unit stream power, Int. J. Sediment Res., 24, 46–62, https://doi.org/10.1016/S1001-6279(09)60015-9, 2009.
Singh, V. P.: On the Theories of Hydraulic Geometry, Int. J. Sediment Res., 18, 196–218, 2003.
Smart, J. S.: Channel networks, Adv. Hydrosci., 8, 305–346, 1972.
Tennekes, H. and Lumley, J. L.: A first course in turbulence, MIT Press, Cambridge, Mass., ISBN 978-0-262-20019-6, 1972.
van Genuchten, M. T.: A closed-form equation for predicting the hydraulic
conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892–898,
https://doi.org/10.2136/sssaj1980.03615995004400050002x, 1980.
Wooding, R. A.: A hydraulic model for the catchment-stream problem, J. Hydrol., 3, 254–267, https://doi.org/10.1002/9781118925935.ch2, 1965.
Yang, C. T.: Potential Energy and Stream Morphology, Water Resour. Res., 7,
311–322, 1971.
Yang, C. T.: Minimum Unit Stream Power and Fluvial Hydraulics, J. Hydraul. Div., 102, 919–934, https://doi.org/10.1061/JYCEAJ.0004589, 1976.
Zehe, E. and Blöschl, G.: Predictability of hydrologic response at the plot and catchment scales: Role of initial conditions, Water Resour. Res., 40, W10202, https://doi.org/10.1029/2003WR002869, 2004.
Zehe, E. and Flühler, H.: Preferential transport of isoproturon at a plot
scale and a field scale tile-drained site, J. Hydrol., 247, 100–115, https://doi.org/10.1016/S0022-1694(01)00370-5, 2001a.
Zehe, E. and Flühler, H.: Slope scale variation of flow patterns in soil
profiles, J. Hydrol., 247, 116–132, https://doi.org/10.1016/S0022-1694(01)00371-7, 2001b.
Zehe, E. and Sivapalan, M.: Threshold behaviour in hydrological systems as (human) geo-ecosystems: manifestations, controls, implications, Hydrol. Earth Syst. Sci., 13, 1273–1297, https://doi.org/10.5194/hess-13-1273-2009, 2009.
Zehe, E., Maurer, T., Ihringer, J., and Plate, E.: Modeling water flow and mass transport in a loess catchment, Phys. Chem. Earth Pt. B, 26, 487–507, https://doi.org/10.1016/S1464-1909(01)00041-7, 2001.
Zehe, E., Becker, R., Bárdossy, 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, 183–202, https://doi.org/10.1016/j.jhydrol.2005.03.038, 2005.
Zehe, E., Blume, T., and Blöschl, G.: The principle of `maximum energy
dissipation': a novel thermodynamic perspective on rapid water flow in
connected soil structures, Philos. T.e Royal Soc. Lond. B, 365, 1377–1386, https://doi.org/10.1098/rstb.2009.0308, 2010.
Zehe, E., Ehret, U., Blume, T., Kleidon, A., Scherer, U., and Westhoff, M.: A
thermodynamic approach to link self-organization, preferential flow and
rainfall–runoff behaviour, Hydrol. Earth Syst. Sci., 17, 4297–4322, https://doi.org/10.5194/hess-17-4297-2013, 2013.
Zhang, Z. and Savenije, H. G.: Thermodynamics of saline and fresh water mixing in estuaries, Earth Syst. Dynam., 9, 241–247, https://doi.org/10.5194/esd-9-241-2018, 2018.
Executive editor
The paper presents an original and innovative approach to understand hillslope processes linking hillslope surface flow, drainage structure formation, and erosion processes to thermodynamics. I consider that the topic is very important in understanding why simple parsimonious empirical methods work in nature.
The paper presents an original and innovative approach to understand hillslope processes...
Short summary
In hydrology the formation of landform patterns is of special interest as changing forcings of the natural systems, such as climate or land use, will change these structures. In our study we developed a thermodynamic framework for surface runoff on hillslopes and highlight the differences of energy conversion patterns on two related spatial and temporal scales. The results indicate that surface runoff on hillslopes approaches a maximum power state.
In hydrology the formation of landform patterns is of special interest as changing forcings of...
