Articles | Volume 16, issue 5
https://doi.org/10.5194/hess-16-1419-2012
© Author(s) 2012. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/hess-16-1419-2012
© Author(s) 2012. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
15 May 2012
Research article |
| 15 May 2012
Evaluation of water-energy balance frameworks to predict the sensitivity of streamflow to climate change
M. Renner
Technische Universität Dresden, Faculty of Forest-, Geo- and Hydro Sciences – Institute of Hydrology and Meteorology – Chair of Meteorology, Pienner Str. 23, 01737 Tharandt, Germany
R. Seppelt
Helmholtz Centre for Environmental Research – UFZ, Department of Computational Landscape Ecology, Permoserstr. 15, 04318 Leipzig, Germany
C. Bernhofer
Technische Universität Dresden, Faculty of Forest-, Geo- and Hydro Sciences – Institute of Hydrology and Meteorology – Chair of Meteorology, Pienner Str. 23, 01737 Tharandt, Germany
Related subject area
Subject: Global hydrology | Techniques and Approaches: Theory development
A hydrologist's guide to open science
From mythology to science: the development of scientific hydrological concepts in Greek antiquity and its relevance to modern hydrology
Comment on: “A review of the complementary principle of evaporation: from the original linear relationship to generalized nonlinear functions” by Han and Tian (2020)
Global distribution of hydrologic controls on forest growth
Inter-annual variability of the global terrestrial water cycle
Using R in hydrology: a review of recent developments and future directions
Multivariate stochastic bias corrections with optimal transport
A simple tool for refining GCM water availability projections, applied to Chinese catchments
Necessary storage as a signature of discharge variability: towards global maps
Should seasonal rainfall forecasts be used for flood preparedness?
Hydroclimatic variability and predictability: a survey of recent research
HESS Opinions: A planetary boundary on freshwater use is misleading
Controls on hydrologic drought duration in near-natural streamflow in Europe and the USA
Drought in a human-modified world: reframing drought definitions, understanding, and analysis approaches
Action-based flood forecasting for triggering humanitarian action
Improving together: better science writing through peer learning
A two-parameter Budyko function to represent conditions under which evapotranspiration exceeds precipitation
Hydrological recurrence as a measure for large river basin classification and process understanding
Storm type effects on super Clausius–Clapeyron scaling of intense rainstorm properties with air temperature
Accounting for environmental flow requirements in global water assessments
Hydroclimatic regimes: a distributed water-balance framework for hydrologic assessment, classification, and management
HESS Opinions "A perspective on isotope versus non-isotope approaches to determine the contribution of transpiration to total evaporation"
Estimates of the climatological land surface energy and water balance derived from maximum convective power
A general framework for understanding the response of the water cycle to global warming over land and ocean
A physically based approach for the estimation of root-zone soil moisture from surface measurements
Globalization of agricultural pollution due to international trade
Data-driven scale extrapolation: estimating yearly discharge for a large region by small sub-basins
Hydrologic benchmarking of meteorological drought indices at interannual to climate change timescales: a case study over the Amazon and Mississippi river basins
A worldwide analysis of trends in water-balance evapotranspiration
Thermodynamic limits of hydrologic cycling within the Earth system: concepts, estimates and implications
Hydrological drought across the world: impact of climate and physical catchment structure
Global hydrobelts and hydroregions: improved reporting scale for water-related issues?
Technical note: Towards a continuous classification of climate using bivariate colour mapping
Recycling of moisture in Europe: contribution of evaporation to variability in very wet and dry years
Caitlyn A. Hall, Sheila M. Saia, Andrea L. Popp, Nilay Dogulu, Stanislaus J. Schymanski, Niels Drost, Tim van Emmerik, and Rolf Hut
Hydrol. Earth Syst. Sci., 26, 647–664, https://doi.org/10.5194/hess-26-647-2022, https://doi.org/10.5194/hess-26-647-2022, 2022
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Impactful open, accessible, reusable, and reproducible hydrologic research practices are being embraced by individuals and the community, but taking the plunge can seem overwhelming. We present the Open Hydrology Principles and Practical Guide to help hydrologists move toward open science, research, and education. We discuss the benefits and how hydrologists can overcome common challenges. We encourage all hydrologists to join the open science community (https://open-hydrology.github.io).
Demetris Koutsoyiannis and Nikos Mamassis
Hydrol. Earth Syst. Sci., 25, 2419–2444, https://doi.org/10.5194/hess-25-2419-2021, https://doi.org/10.5194/hess-25-2419-2021, 2021
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This paper is the result of new research of ancient and early modern sources about the developments of the concept of the hydrological cycle and of hydrology in general. It shows that the flooding of the Nile was the first geophysical problem formulated in scientific terms in the cradle of natural philosophy and science in the 6th century BC. Aristotle was able to find the correct solution to the problem, which he tested through what it appears to be the first scientific expedition in history.
Richard D. Crago, Jozsef Szilagyi, and Russell Qualls
Hydrol. Earth Syst. Sci., 25, 63–68, https://doi.org/10.5194/hess-25-63-2021, https://doi.org/10.5194/hess-25-63-2021, 2021
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The sigmoid-shaped complementary relationship (CR) for regional evaporation proposed by Han and Tian (2018, 2020) is reconsidered in terms of (1) its ability to give reasonable evaporation results from sites worldwide, (2) evidence for the three-state evaporation process it posits, (3) the validity of the proof provided by Han and Tian (2018), and (4) the relevance of model studies that seem to support it. Arguments for the sigmoid shape deserve to be taken seriously but remain unconvincing.
Caspar T. J. Roebroek, Lieke A. Melsen, Anne J. Hoek van Dijke, Ying Fan, and Adriaan J. Teuling
Hydrol. Earth Syst. Sci., 24, 4625–4639, https://doi.org/10.5194/hess-24-4625-2020, https://doi.org/10.5194/hess-24-4625-2020, 2020
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Vegetation is a principal component in the Earth system models that are used for weather, climate and other environmental predictions. Water is one of the main drivers of vegetation; however, the global distribution of how water influences vegetation is not well understood. This study looks at spatial patterns of photosynthesis and water sources (rain and groundwater) to obtain a first understanding of water access and limitations for the growth of global forests (proxy for natural vegetation).
Dongqin Yin and Michael L. Roderick
Hydrol. Earth Syst. Sci., 24, 381–396, https://doi.org/10.5194/hess-24-381-2020, https://doi.org/10.5194/hess-24-381-2020, 2020
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We focus on the initial analysis of inter-annual variability in the global terrestrial water cycle, which is key to understanding hydro-climate extremes. We find that (1) the partitioning of inter-annual variability is totally different with the mean state partitioning; (2) the magnitude of covariances can be large and negative, indicating the variability in the sinks can exceed variability in the source; and (3) the partitioning is relevant to the water storage capacity and snow/ice presence.
Louise J. Slater, Guillaume Thirel, Shaun Harrigan, Olivier Delaigue, Alexander Hurley, Abdou Khouakhi, Ilaria Prosdocimi, Claudia Vitolo, and Katie Smith
Hydrol. Earth Syst. Sci., 23, 2939–2963, https://doi.org/10.5194/hess-23-2939-2019, https://doi.org/10.5194/hess-23-2939-2019, 2019
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This paper explores the benefits and advantages of R's usage in hydrology. We provide an overview of a typical hydrological workflow based on reproducible principles and packages for retrieval of hydro-meteorological data, spatial analysis, hydrological modelling, statistics, and the design of static and dynamic visualizations and documents. We discuss some of the challenges that arise when using R in hydrology as well as a roadmap for R’s future within the discipline.
Yoann Robin, Mathieu Vrac, Philippe Naveau, and Pascal Yiou
Hydrol. Earth Syst. Sci., 23, 773–786, https://doi.org/10.5194/hess-23-773-2019, https://doi.org/10.5194/hess-23-773-2019, 2019
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Bias correction methods are used to calibrate climate model outputs with respect to observations. In this article, a non-stationary, multivariate and stochastic bias correction method is developed based on optimal transport, accounting for inter-site and inter-variable correlations. Optimal transport allows us to construct a joint distribution that minimizes energy spent in bias correction. Our methodology is tested on precipitation and temperatures over 12 locations in southern France.
Joe M. Osborne and F. Hugo Lambert
Hydrol. Earth Syst. Sci., 22, 6043–6057, https://doi.org/10.5194/hess-22-6043-2018, https://doi.org/10.5194/hess-22-6043-2018, 2018
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We want to estimate how much water will be available in a river basin (runoff) at the end of the 21st century. Climate models alone are considered unsuitable for this task due to biases in representing the present-day climate. We show that the output from these models can be corrected using a simple mathematical framework. This approach narrows the range of future runoff projections for the Yellow river in China by 34 %. It serves as a quick tool for updating projections from climate models.
Kuniyoshi Takeuchi and Muhammad Masood
Hydrol. Earth Syst. Sci., 21, 4495–4516, https://doi.org/10.5194/hess-21-4495-2017, https://doi.org/10.5194/hess-21-4495-2017, 2017
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There are many global maps of hydrology and water resources, but none on necessary storage to smooth out discharge variability. This paper provides a methodology to create such a map, taking the Ganges–Brahmaputra–Meghna basin as an example. Necessary storage is calculated by a new method, intensity–duration–frequency curves of flood and drought (FDC–DDC). Necessary storage serves as a signature of hydrological variability and its geographical distribution provides new insights for hydrology.
Erin Coughlan de Perez, Elisabeth Stephens, Konstantinos Bischiniotis, Maarten van Aalst, Bart van den Hurk, Simon Mason, Hannah Nissan, and Florian Pappenberger
Hydrol. Earth Syst. Sci., 21, 4517–4524, https://doi.org/10.5194/hess-21-4517-2017, https://doi.org/10.5194/hess-21-4517-2017, 2017
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Disaster managers would like to use seasonal forecasts to anticipate flooding months in advance. However, current seasonal forecasts give information on rainfall instead of flooding. Here, we find that the number of extreme events, rather than total rainfall, is most related to flooding in different regions of Africa. We recommend several forecast adjustments and research opportunities that would improve flood information at the seasonal timescale in different regions.
Randal D. Koster, Alan K. Betts, Paul A. Dirmeyer, Marc Bierkens, Katrina E. Bennett, Stephen J. Déry, Jason P. Evans, Rong Fu, Felipe Hernandez, L. Ruby Leung, Xu Liang, Muhammad Masood, Hubert Savenije, Guiling Wang, and Xing Yuan
Hydrol. Earth Syst. Sci., 21, 3777–3798, https://doi.org/10.5194/hess-21-3777-2017, https://doi.org/10.5194/hess-21-3777-2017, 2017
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Large-scale hydrological variability can affect society in profound ways; floods and droughts, for example, often cause major damage and hardship. A recent gathering of hydrologists at a symposium to honor the career of Professor Eric Wood motivates the present survey of recent research on this variability. The surveyed literature and the illustrative examples provided in the paper show that research into hydrological variability continues to be strong, vibrant, and multifaceted.
Maik Heistermann
Hydrol. Earth Syst. Sci., 21, 3455–3461, https://doi.org/10.5194/hess-21-3455-2017, https://doi.org/10.5194/hess-21-3455-2017, 2017
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In 2009, the "planetary boundaries" were introduced. They consist of nine global control variables and corresponding "thresholds which, if crossed, could generate unacceptable environmental change". The idea has been very successful, but also controversial. This paper picks up the debate with regard to the boundary on "global freshwater use": it argues that such a boundary is based on mere speculation, and that any exercise of assigning actual numbers is arbitrary, premature, and misleading.
Erik Tijdeman, Sophie Bachmair, and Kerstin Stahl
Hydrol. Earth Syst. Sci., 20, 4043–4059, https://doi.org/10.5194/hess-20-4043-2016, https://doi.org/10.5194/hess-20-4043-2016, 2016
Anne F. Van Loon, Kerstin Stahl, Giuliano Di Baldassarre, Julian Clark, Sally Rangecroft, Niko Wanders, Tom Gleeson, Albert I. J. M. Van Dijk, Lena M. Tallaksen, Jamie Hannaford, Remko Uijlenhoet, Adriaan J. Teuling, David M. Hannah, Justin Sheffield, Mark Svoboda, Boud Verbeiren, Thorsten Wagener, and Henny A. J. Van Lanen
Hydrol. Earth Syst. Sci., 20, 3631–3650, https://doi.org/10.5194/hess-20-3631-2016, https://doi.org/10.5194/hess-20-3631-2016, 2016
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In the Anthropocene, drought cannot be viewed as a natural hazard independent of people. Drought can be alleviated or made worse by human activities and drought impacts are dependent on a myriad of factors. In this paper, we identify research gaps and suggest a framework that will allow us to adequately analyse and manage drought in the Anthropocene. We need to focus on attribution of drought to different drivers, linking drought to its impacts, and feedbacks between drought and society.
Erin Coughlan de Perez, Bart van den Hurk, Maarten K. van Aalst, Irene Amuron, Deus Bamanya, Tristan Hauser, Brenden Jongma, Ana Lopez, Simon Mason, Janot Mendler de Suarez, Florian Pappenberger, Alexandra Rueth, Elisabeth Stephens, Pablo Suarez, Jurjen Wagemaker, and Ervin Zsoter
Hydrol. Earth Syst. Sci., 20, 3549–3560, https://doi.org/10.5194/hess-20-3549-2016, https://doi.org/10.5194/hess-20-3549-2016, 2016
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Many flood disaster impacts could be avoided by preventative action; however, early action is not guaranteed. This article demonstrates the design of a new system of forecast-based financing, which automatically triggers action when a flood forecast arrives, before a potential disaster. We establish "action triggers" for northern Uganda based on a global flood forecasting system, verifying these forecasts and assessing the uncertainties inherent in setting a trigger in a data-scarce location.
Mathew A. Stiller-Reeve, Céline Heuzé, William T. Ball, Rachel H. White, Gabriele Messori, Karin van der Wiel, Iselin Medhaug, Annemarie H. Eckes, Amee O'Callaghan, Mike J. Newland, Sian R. Williams, Matthew Kasoar, Hella Elisa Wittmeier, and Valerie Kumer
Hydrol. Earth Syst. Sci., 20, 2965–2973, https://doi.org/10.5194/hess-20-2965-2016, https://doi.org/10.5194/hess-20-2965-2016, 2016
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Scientific writing must improve and the key to long-term improvement of scientific writing lies with the early-career scientist (ECS). We introduce the ClimateSnack project, which aims to motivate ECSs to start writing groups around the world to improve their skills together. Writing groups offer many benefits but can be a challenge to keep going. Several ClimateSnack writing groups formed, and this paper examines why some of the groups flourished and others dissolved.
Peter Greve, Lukas Gudmundsson, Boris Orlowsky, and Sonia I. Seneviratne
Hydrol. Earth Syst. Sci., 20, 2195–2205, https://doi.org/10.5194/hess-20-2195-2016, https://doi.org/10.5194/hess-20-2195-2016, 2016
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The widely used Budyko framework is by definition limited to steady-state conditions. In this study we analytically derive a new, two-parameter formulation of the Budyko framework that represents conditions under which evapotranspiration exceeds precipitation. This is technically achieved by rotating the water supply limit within the Budyko space. The new formulation is shown to be capable to represent first-order seasonal dynamics within the hydroclimatological system.
R. Fernandez and T. Sayama
Hydrol. Earth Syst. Sci., 19, 1919–1942, https://doi.org/10.5194/hess-19-1919-2015, https://doi.org/10.5194/hess-19-1919-2015, 2015
P. Molnar, S. Fatichi, L. Gaál, J. Szolgay, and P. Burlando
Hydrol. Earth Syst. Sci., 19, 1753–1766, https://doi.org/10.5194/hess-19-1753-2015, https://doi.org/10.5194/hess-19-1753-2015, 2015
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We present an empirical study of the rates of increase in precipitation intensity with air temperature using high-resolution 10 min precipitation records in Switzerland. We estimated the scaling rates for lightning (convective) and non-lightning event subsets and show that scaling rates are between 7 and 14%/C for convective rain and that mixing of storm types exaggerates the relations to air temperature. Doubled CC rates reported by other studies are an exception in our data set.
A. V. Pastor, F. Ludwig, H. Biemans, H. Hoff, and P. Kabat
Hydrol. Earth Syst. Sci., 18, 5041–5059, https://doi.org/10.5194/hess-18-5041-2014, https://doi.org/10.5194/hess-18-5041-2014, 2014
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Freshwater ecosystems encompass the most threatened species on earth. Environmental flow requirements need to be addressed globally to provide sufficient water for humans and nature. We present a comparison of five environmental flow methods validated with locally calculated EFRs. We showed that methods based on monthly average flow such as the variable monthly flow method are more reliable than methods based on annual thresholds. A range of EFRs was calculated for large river basins.
P. K. Weiskel, D. M. Wolock, P. J. Zarriello, R. M. Vogel, S. B. Levin, and R. M. Lent
Hydrol. Earth Syst. Sci., 18, 3855–3872, https://doi.org/10.5194/hess-18-3855-2014, https://doi.org/10.5194/hess-18-3855-2014, 2014
S. J. Sutanto, B. van den Hurk, P. A. Dirmeyer, S. I. Seneviratne, T. Röckmann, K. E. Trenberth, E. M. Blyth, J. Wenninger, and G. Hoffmann
Hydrol. Earth Syst. Sci., 18, 2815–2827, https://doi.org/10.5194/hess-18-2815-2014, https://doi.org/10.5194/hess-18-2815-2014, 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
M. L. Roderick, F. Sun, W. H. Lim, and G. D. Farquhar
Hydrol. Earth Syst. Sci., 18, 1575–1589, https://doi.org/10.5194/hess-18-1575-2014, https://doi.org/10.5194/hess-18-1575-2014, 2014
S. Manfreda, L. Brocca, T. Moramarco, F. Melone, and J. Sheffield
Hydrol. Earth Syst. Sci., 18, 1199–1212, https://doi.org/10.5194/hess-18-1199-2014, https://doi.org/10.5194/hess-18-1199-2014, 2014
C. O'Bannon, J. Carr, D. A. Seekell, and P. D'Odorico
Hydrol. Earth Syst. Sci., 18, 503–510, https://doi.org/10.5194/hess-18-503-2014, https://doi.org/10.5194/hess-18-503-2014, 2014
L. Gong
Hydrol. Earth Syst. Sci., 18, 343–352, https://doi.org/10.5194/hess-18-343-2014, https://doi.org/10.5194/hess-18-343-2014, 2014
E. Joetzjer, H. Douville, C. Delire, P. Ciais, B. Decharme, and S. Tyteca
Hydrol. Earth Syst. Sci., 17, 4885–4895, https://doi.org/10.5194/hess-17-4885-2013, https://doi.org/10.5194/hess-17-4885-2013, 2013
A. M. Ukkola and I. C. Prentice
Hydrol. Earth Syst. Sci., 17, 4177–4187, https://doi.org/10.5194/hess-17-4177-2013, https://doi.org/10.5194/hess-17-4177-2013, 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
H. A. J. Van Lanen, N. Wanders, L. M. Tallaksen, and A. F. Van Loon
Hydrol. Earth Syst. Sci., 17, 1715–1732, https://doi.org/10.5194/hess-17-1715-2013, https://doi.org/10.5194/hess-17-1715-2013, 2013
M. Meybeck, M. Kummu, and H. H. Dürr
Hydrol. Earth Syst. Sci., 17, 1093–1111, https://doi.org/10.5194/hess-17-1093-2013, https://doi.org/10.5194/hess-17-1093-2013, 2013
A. J. Teuling
Hydrol. Earth Syst. Sci., 15, 3071–3075, https://doi.org/10.5194/hess-15-3071-2011, https://doi.org/10.5194/hess-15-3071-2011, 2011
B. Bisselink and A. J. Dolman
Hydrol. Earth Syst. Sci., 13, 1685–1697, https://doi.org/10.5194/hess-13-1685-2009, https://doi.org/10.5194/hess-13-1685-2009, 2009
Cited articles
Arnell, N.: Hydrology and Global Environmental Change, Prentice Hall, 2002.
Arora, V.: The use of the aridity index to assess climate change effect on annual runoff, J. Hydrol., 265, 164–177, 2002.
Bagrov, N.: O srednem mnogoletnem isparenii s poverchnosti susi (On multi-year average of evapotranspiration from land surface), Meteorog. i Gridrolog., 10, 20–25, 1953.
Beven, K.: A sensitivity analysis of the Penman-Monteith actual evapotranspiration estimates, J. Hydrol., 44, 169–190, 1979.
Bissinger, V. and Kolditz, O.: Helmholtz Interdisciplinary Graduate School for Environmental Research (HIGRADE), GAIA – Ecological Perspectives for Science and Society, 17, 71–73, 2008.
Budyko, M.: Climate and life, Academic Press, New York, USA, 1974.
Choudhury, B.: Evaluation of an empirical equation for annual evaporation using field observations and results from a biophysical model, J. Hydrol., 216, 99–110, 1999.
Donohue, R. J., Roderick, M. L., and McVicar, T. R.: On the importance of including vegetation dynamics in Budyko's hydrological model, Hydrol. Earth Syst. Sci., 11, 983–995, https://doi.org/10.5194/hess-11-983-2007, 2007.
Donohue, R. J., Roderick, M. L., and McVicar, T. R.: Assessing the differences in sensitivities of runoff to changes in climatic conditions across a large basin, Journal of Hydrology, 406, 234–244, https://doi.org/10.1016/j.jhydrol.2011.07.003, 2011.
Dooge, J.: Sensitivity of runoff to climate change: A Hortonian approach, B. Am. Meteorol. Soc. USA, 73, 2013–2024, 1992.
Dooge, J., Bruen, M., and Parmentier, B.: A simple model for estimating the sensitivity of runoff to long-term changes in precipitation without a change in vegetation, Adv. Water Resour., 23, 153–163, 1999.
Fu, B.: On the calculation of the evaporation from land surface, Scientia Atmospherica Sinica, 5, 23–31, 1981.
Gedney, N., Cox, P., Betts, R., Boucher, O., Huntingford, C., and Stott, P.: Detection of a direct carbon dioxide effect in continental river runoff records, Nature, 439, 835–838, 2006.
Gerrits, A., Savenije, H., Veling, E., and Pfister, L.: Analytical derivation of the Budyko curve based on rainfall characteristics and a simple evaporation model, Water Resources Research, 45, W04403, https://doi.org/10.1029/2008WR007308, 2009.
Klemes, V.: Conceptualization and scale in hydrology, J. Hydrol., 65, 1–23, 1983.
Kuhnel, V., Dooge, J., O'Kane, J., and Romanowicz, R.: Partial analysis applied to scale problems in surface moisture fluxes, Surv. Geophys., 12, 221–247, 1991.
Mezentsev, V.: More on the calculation of average total evaporation, Meteorol. Gidrol., 5, 24–26, 1955.
Milly, P.: Climate, soil water storage, and the average annual water balance, Water Resour. Res., 30, 2143–2156, 1994.
Milly, P. and Dunne, K.: Trends in evaporation and surface cooling in the Mississippi River basin, Geophys. Res. Lett., 28, 1219–1222, https://doi.org/10.1029/2000GL012321, 2001.
Milne, B., Gupta, V., and Restrepo, C.: A scale invariant coupling of plants, water, energy, and terrain, Ecoscience, 9, 191–199, 2002.
Moran, M., Peters, D., McClaran, M., Nichols, M., and Adams, M.: Long-term data collection at USDA experimental sites for studies of ecohydrology, Ecohydrology, 1, 377–393, https://doi.org/10.1002/eco.24, 2008.
Nash, L. and Gleick, P.: Sensitivity of streamflow in the Colorado Basin to climatic changes, J. Hydrol., 125, 221–241, 1991.
Ol'Dekop, E.: On evaporation from the surface of river basins, Transactions on meteorological observations University of Tartu, 4, 200, 1911.
Porporato, A., Daly, E., and Rodriguez-Iturbe, I.: Soil water balance and ecosystem response to climate change, Am. Nat., 164, 625–632, 2004.
Renner, M. and Bernhofer, C.: Applying a simple water-energy balance framework to predict the climate sensitivity of streamflow over the continental United States, Hydrol. Earth Syst. Sci. Discuss., 8, 10825–10862, https://doi.org/10.5194/hessd-8-10825-2011, 2011.
Risbey, J. and Entekhabi, D.: Observed Sacramento Basin streamflow response to precipitation and temperature changes and its relevance to climate impact studies, J. Hydrol., 184, 209–223, 1996.
Roderick, M. and Farquhar, G.: A simple framework for relating variations in runoff to variations in climatic conditions and catchment properties, Water Resour. Res., 47, W00G07, https://doi.org/10.1029/2010WR009826, 2011.
Rodriguez-Iturbe, I., Caylor, K., and Rinaldo, A.: Metabolic principles of river basin organization, P. Natl. Acad. Sci., 108, 11751, https://doi.org/10.1073/pnas.1107561108, 2011.
Sankarasubramanian, A., Vogel, R., and Limbrunner, J.: Climate elasticity of streamflow in the United States, Water Resour. Res., 37, 1771–1781, 2001.
Schaake, J. and Liu, C.: Development and application of simple water balance models to understand the relationship between climate and water resources, in: New Directions for Surface Water Modeling Proceedings of the Baltimore Symposium, 1989.
Schreiber, P.: {Ü}ber die Beziehungen zwischen dem Niederschlag und der Wasserf{ü}hrung der Fl{ü}sse in Mitteleuropa, Z. Meteorol., 21, 441–452, 1904.
Teuling, A., Hirschi, M., Ohmura, A., Wild, M., Reichstein, M., Ciais, P., Buchmann, N., Ammann, C., Montagnani, L., Richardson, A., Wohlfahrt, G., and Seneviratne, S. I.: A regional perspective on trends in continental evaporation, Geophys. Res. Lett., 36, L02404, https://doi.org/10.1029/2008GL036584, 2009.
Tomer, M. and Schilling, K.: A simple approach to distinguish land-use and climate-change effects on watershed hydrology, J. Hydrol., 376, 24–33, https://doi.org/10.1016/j.jhydrol.2009.07.029, 2009.
Wang, D. and Hejazi, M.: Quantifying the relative contribution of the climate and direct human impacts on mean annual streamflow in the contiguous United States, Water Resour. Res., 47, W00J12, https://doi.org/10.1029/2010WR010283, 2011.
Yang, H. and Yang, D.: Derivation of climate elasticity of runoff to assess the effects of climate change on annual runoff, Water Resour. Res., 47, W07526, https://doi.org/10.1029/2010WR009287, 2011.
Yang, H., Yang, D., Lei, Z., and Sun, F.: New analytical derivation of the mean annual water-energy balance equation, Water Resour. Res., 44, W03410, https://doi.org/10.1029/2007WR006135, 2008.
Zhang, L., Dawes, W., and Walker, G.: Response of mean annual evapotranspiration to vegetation changes at catchment scale, Water Resour. Res., 37, 701–708, 2001.
Zhang, L., Hickel, K., Dawes, W., Chiew, F., Western, A., and Briggs, P.: A rational function approach for estimating mean annual evapotranspiration, Water Resources Research, 40, W02502, https://doi.org/10.1029/2003WR002710, 2004.
Zheng, H., Zhang, L., Zhu, R., Liu, C., Sato, Y., and Fukushima, Y.: Responses of streamflow to climate and land surface change in the headwaters of the Yellow River Basin, Water Resour. Res., 45, W00A19, https://doi.org/10.1029/2007WR006665, 2009.
