Articles | Volume 20, issue 12
https://doi.org/10.5194/hess-20-4867-2016
© Author(s) 2016. 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-20-4867-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
12 Dec 2016
Research article |
| 12 Dec 2016
The Budyko functions under non-steady-state conditions
Roger Moussa
CORRESPONDING AUTHOR
INRA, UMR LISAH, 2 place Viala, 34060 Montpellier, France
Jean-Paul Lhomme
IRD, UMR LISAH, 2 place Viala, 34060 Montpellier, France
Related authors
Antoine Allam, Roger Moussa, Wajdi Najem, and Claude Bocquillon
Hydrol. Earth Syst. Sci., 24, 4503–4521, https://doi.org/10.5194/hess-24-4503-2020, https://doi.org/10.5194/hess-24-4503-2020, 2020
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With serious concerns about global change rising in the Mediterranean, we established a new climatic classification to follow hydrological and ecohydrological activities. The classification coincided with a geographical distribution ranging from the most seasonal and driest class in the south to the least seasonal and most humid in the north. RCM scenarios showed that northern classes evolve to southern ones with shorter humid seasons and earlier snowmelt which might affect hydrologic regimes.
Mounir Mahdade, Nicolas Le Moine, Roger Moussa, Oldrich Navratil, and Pierre Ribstein
Hydrol. Earth Syst. Sci., 24, 3513–3537, https://doi.org/10.5194/hess-24-3513-2020, https://doi.org/10.5194/hess-24-3513-2020, 2020
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We present an automatic procedure based on wavelet ridge extraction to identify some characteristics of alternating morphological units (e.g., pools to riffles). We used four hydro-morphological variables (velocity, hydraulic radius, bed shear stress, local channel direction angle). We find that the wavelengths are consistent with the values of the literature, and the use of a multivariate approach yields more robust results and ensures a consistent covariance of flow variables.
Antoine Allam, Roger Moussa, Wajdi Najem, and Claude Bocquillon
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2019-381, https://doi.org/10.5194/hess-2019-381, 2019
Manuscript not accepted for further review
Short summary
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This Mediterranean climatic classification is useful in following up water resources management and ecohydrological applications. Climatic classes ranged from the most seasonal and dry in the South to the least seasonal and most humid in the North, showing up the climatic continuity and change trends visibility. The climate change impact simulated under RCP scenarios showed an increase of the average seasonality and aridity, with north classes slowly evolving towards moderate southern classes.
Camille Jourdan, Valérie Borrell-Estupina, David Sebag, Jean-Jacques Braun, Jean-Pierre Bedimo Bedimo, François Colin, Armand Crabit, Alain Fezeu, Cécile Llovel, Jules Rémy Ndam Ngoupayou, Benjamin Ngounou Ngatcha, Sandra Van-Exter, Eric Servat, and Roger Moussa
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2019-116, https://doi.org/10.5194/hess-2019-116, 2019
Publication in HESS not foreseen
Short summary
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In the theme Panta Rhei, this paper aims to develop a combined approach of data acquisition and a new semi-distributed non-stationary model taking into account land-use changes to reconstruct and predict annual runoff on an urban catchment in a data-sparse context. We use historical data and deploy a complementary short-term spatially-dense dedicated instrumentation. Applications were conducted on the tropical Mefou catchment (Yaoundé, Cameroon) to assess contributions of sub-catchments.
Jean-Paul Lhomme and Roger Moussa
Hydrol. Earth Syst. Sci., 20, 4857–4865, https://doi.org/10.5194/hess-20-4857-2016, https://doi.org/10.5194/hess-20-4857-2016, 2016
Short summary
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The Budyko functions are matched with the complementary evaporation relationship. We show that there is a functional dependence between the Budyko functions and the drying power of the air. Examining the case where potential evaporation is calculated by means of a Priestley–Taylor type equation with a varying coefficient, we show that this coefficient should have a specified value as a function of the Budyko shape parameter and the aridity index.
Bruno Cheviron and Roger Moussa
Hydrol. Earth Syst. Sci., 20, 3799–3830, https://doi.org/10.5194/hess-20-3799-2016, https://doi.org/10.5194/hess-20-3799-2016, 2016
Short summary
Short summary
This review paper investigates the determinants of modelling choices for numerous applications of 1-D free-surface flow and morphodynamics in hydrology and hydraulics. Each case study has a signature composed of given contexts (spatiotemporal scales, flow typology, and phenomenology) and chosen concepts (refinement and subscales of the flow model). This review proposes a normative procedure possibly enriched by the community for a larger, comprehensive and updated image of modelling strategies.
C. Leauthaud, G. Belaud, S. Duvail, R. Moussa, O. Grünberger, and J. Albergel
Hydrol. Earth Syst. Sci., 17, 3059–3075, https://doi.org/10.5194/hess-17-3059-2013, https://doi.org/10.5194/hess-17-3059-2013, 2013
Antoine Allam, Roger Moussa, Wajdi Najem, and Claude Bocquillon
Hydrol. Earth Syst. Sci., 24, 4503–4521, https://doi.org/10.5194/hess-24-4503-2020, https://doi.org/10.5194/hess-24-4503-2020, 2020
Short summary
Short summary
With serious concerns about global change rising in the Mediterranean, we established a new climatic classification to follow hydrological and ecohydrological activities. The classification coincided with a geographical distribution ranging from the most seasonal and driest class in the south to the least seasonal and most humid in the north. RCM scenarios showed that northern classes evolve to southern ones with shorter humid seasons and earlier snowmelt which might affect hydrologic regimes.
Mounir Mahdade, Nicolas Le Moine, Roger Moussa, Oldrich Navratil, and Pierre Ribstein
Hydrol. Earth Syst. Sci., 24, 3513–3537, https://doi.org/10.5194/hess-24-3513-2020, https://doi.org/10.5194/hess-24-3513-2020, 2020
Short summary
Short summary
We present an automatic procedure based on wavelet ridge extraction to identify some characteristics of alternating morphological units (e.g., pools to riffles). We used four hydro-morphological variables (velocity, hydraulic radius, bed shear stress, local channel direction angle). We find that the wavelengths are consistent with the values of the literature, and the use of a multivariate approach yields more robust results and ensures a consistent covariance of flow variables.
Antoine Allam, Roger Moussa, Wajdi Najem, and Claude Bocquillon
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2019-381, https://doi.org/10.5194/hess-2019-381, 2019
Manuscript not accepted for further review
Short summary
Short summary
This Mediterranean climatic classification is useful in following up water resources management and ecohydrological applications. Climatic classes ranged from the most seasonal and dry in the South to the least seasonal and most humid in the North, showing up the climatic continuity and change trends visibility. The climate change impact simulated under RCP scenarios showed an increase of the average seasonality and aridity, with north classes slowly evolving towards moderate southern classes.
Camille Jourdan, Valérie Borrell-Estupina, David Sebag, Jean-Jacques Braun, Jean-Pierre Bedimo Bedimo, François Colin, Armand Crabit, Alain Fezeu, Cécile Llovel, Jules Rémy Ndam Ngoupayou, Benjamin Ngounou Ngatcha, Sandra Van-Exter, Eric Servat, and Roger Moussa
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2019-116, https://doi.org/10.5194/hess-2019-116, 2019
Publication in HESS not foreseen
Short summary
Short summary
In the theme Panta Rhei, this paper aims to develop a combined approach of data acquisition and a new semi-distributed non-stationary model taking into account land-use changes to reconstruct and predict annual runoff on an urban catchment in a data-sparse context. We use historical data and deploy a complementary short-term spatially-dense dedicated instrumentation. Applications were conducted on the tropical Mefou catchment (Yaoundé, Cameroon) to assess contributions of sub-catchments.
Jean-Paul Lhomme and Roger Moussa
Hydrol. Earth Syst. Sci., 20, 4857–4865, https://doi.org/10.5194/hess-20-4857-2016, https://doi.org/10.5194/hess-20-4857-2016, 2016
Short summary
Short summary
The Budyko functions are matched with the complementary evaporation relationship. We show that there is a functional dependence between the Budyko functions and the drying power of the air. Examining the case where potential evaporation is calculated by means of a Priestley–Taylor type equation with a varying coefficient, we show that this coefficient should have a specified value as a function of the Budyko shape parameter and the aridity index.
Bruno Cheviron and Roger Moussa
Hydrol. Earth Syst. Sci., 20, 3799–3830, https://doi.org/10.5194/hess-20-3799-2016, https://doi.org/10.5194/hess-20-3799-2016, 2016
Short summary
Short summary
This review paper investigates the determinants of modelling choices for numerous applications of 1-D free-surface flow and morphodynamics in hydrology and hydraulics. Each case study has a signature composed of given contexts (spatiotemporal scales, flow typology, and phenomenology) and chosen concepts (refinement and subscales of the flow model). This review proposes a normative procedure possibly enriched by the community for a larger, comprehensive and updated image of modelling strategies.
G. Boulet, B. Mougenot, J.-P. Lhomme, P. Fanise, Z. Lili-Chabaane, A. Olioso, M. Bahir, V. Rivalland, L. Jarlan, O. Merlin, B. Coudert, S. Er-Raki, and J.-P. Lagouarde
Hydrol. Earth Syst. Sci., 19, 4653–4672, https://doi.org/10.5194/hess-19-4653-2015, https://doi.org/10.5194/hess-19-4653-2015, 2015
Short summary
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The paper presents a new model (SPARSE) to estimate total evapotranspiration as well as its components (evaporation and transpiration) from remote-sensing data in the thermal infra-red domain. The limits of computing two unknowns (evaporation and transpiration) out of one piece of information (one surface temperature) are assessed theoretically. The model performance in retrieving the components as well as the water stress is assessed for two wheat crops (one irrigated and one rainfed).
J. P. Lhomme and C. Montes
Hydrol. Earth Syst. Sci., 18, 1137–1149, https://doi.org/10.5194/hess-18-1137-2014, https://doi.org/10.5194/hess-18-1137-2014, 2014
C. Leauthaud, G. Belaud, S. Duvail, R. Moussa, O. Grünberger, and J. Albergel
Hydrol. Earth Syst. Sci., 17, 3059–3075, https://doi.org/10.5194/hess-17-3059-2013, https://doi.org/10.5194/hess-17-3059-2013, 2013
Related subject area
Subject: Ecohydrology | Techniques and Approaches: Theory development
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Differential response of plant transpiration to uptake of rainwater-recharged soil water for dominant tree species in the semiarid Loess Plateau
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Long-term climate-influenced land cover change in discontinuous permafrost peatland complexes
Groundwater fauna in an urban area – natural or affected?
Age and origin of leaf wax n-alkanes in fluvial sediment–paleosol sequences and implications for paleoenvironmental reconstructions
Seasonal partitioning of precipitation between streamflow and evapotranspiration, inferred from end-member splitting analysis
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Unexplained hydrogen isotope offsets complicate the identification and quantification of tree water sources in a riparian forest
A synthesis of three decades of hydrological research at Scotty Creek, NWT, Canada
Potential evaporation at eddy-covariance sites across the globe
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Water movement through plant roots – exact solutions of the water flow equation in roots with linear or exponential piecewise hydraulic properties
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Leaf-scale experiments reveal an important omission in the Penman–Monteith equation
Matching the Budyko functions with the complementary evaporation relationship: consequences for the drying power of the air and the Priestley–Taylor coefficient
Hydrological recovery in two large forested watersheds of southeastern China: the importance of watershed properties in determining hydrological responses to reforestation
The socioecohydrology of rainwater harvesting in India: understanding water storage and release dynamics across spatial scales
Nitrate sinks and sources as controls of spatio-temporal water quality dynamics in an agricultural headwater catchment
Impacts of beaver dams on hydrologic and temperature regimes in a mountain stream
Estimation of crop water requirements: extending the one-step approach to dual crop coefficients
Technical Note: On the Matt–Shuttleworth approach to estimate crop water requirements
Horizontal soil water potential heterogeneity: simplifying approaches for crop water dynamics models
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Mechanisms of vegetation uprooting by flow in alluvial non-cohesive sediment
Forest decline caused by high soil water conditions in a permafrost region
Shaofei Wang, Xiaodong Gao, Min Yang, Gaopeng Huo, Xiaolin Song, Kadambot H. M. Siddique, Pute Wu, and Xining Zhao
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Water uptake depth of 11-year-old apple trees reached 300 cm in the blossom and young fruit stage and only 100 cm in the fruit swelling stage, while 17-year-old trees always consumed water from 0–320 cm soil layers. Overall, the natural abundance of stable water isotopes method overestimated the contribution of deep soil water, especially in the 320–500 cm soils. Our findings highlight that determining the occurrence of root water uptake in deep soils helps to quantify trees' water use strategy.
Juan Gui, Zongxing Li, Qi Feng, Qiao Cui, and Jian Xue
Hydrol. Earth Syst. Sci., 27, 97–122, https://doi.org/10.5194/hess-27-97-2023, https://doi.org/10.5194/hess-27-97-2023, 2023
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As the transition zone between the Tibetan Plateau and the arid region, the Qilian Mountains are important ecological barriers and source regions of inland rivers in northwest China. In recent decades, drastic changes in the cryosphere have had a significant impact on the quantity and formation process of water resources in the Qilian Mountains. The mountain runoff of the Qilian Mountains mainly comes from the cryosphere belt, which contributes to approximately 80 % runoff.
Remko C. Nijzink and Stanislaus J. Schymanski
Hydrol. Earth Syst. Sci., 26, 6289–6309, https://doi.org/10.5194/hess-26-6289-2022, https://doi.org/10.5194/hess-26-6289-2022, 2022
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Most catchments plot close to the empirical Budyko curve, which allows for estimating the long-term mean annual evaporation and runoff. We found that a model that optimizes vegetation properties in response to changes in precipitation leads it to converge to a single curve. In contrast, models that assume no changes in vegetation start to deviate from a single curve. This implies that vegetation has a stabilizing role, bringing catchments back to equilibrium after changes in climate.
Yakun Tang, Lina Wang, Yongqiang Yu, and Dongxu Lu
Hydrol. Earth Syst. Sci., 26, 4995–5013, https://doi.org/10.5194/hess-26-4995-2022, https://doi.org/10.5194/hess-26-4995-2022, 2022
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Javier de la Casa, Adrià Barbeta, Asun Rodríguez-Uña, Lisa Wingate, Jérôme Ogée, and Teresa E. Gimeno
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Amilcare Porporato
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Olivia Carpino, Kristine Haynes, Ryan Connon, James Craig, Élise Devoie, and William Quinton
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Fabien Koch, Kathrin Menberg, Svenja Schweikert, Cornelia Spengler, Hans Jürgen Hahn, and Philipp Blum
Hydrol. Earth Syst. Sci., 25, 3053–3070, https://doi.org/10.5194/hess-25-3053-2021, https://doi.org/10.5194/hess-25-3053-2021, 2021
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In this study, we address the question of whether groundwater fauna in an urban area is natural or affected in comparison to forested land. We find noticeable differences in the spatial distribution of groundwater species and abiotic parameters. An ecological assessment reveals that conditions in the urban area are mainly not good. Yet, there is no clear spatial pattern in terms of land use and anthropogenic impacts. These are significant findings for conservation and usage of urban groundwater.
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Hydrol. Earth Syst. Sci., 24, 2105–2120, https://doi.org/10.5194/hess-24-2105-2020, https://doi.org/10.5194/hess-24-2105-2020, 2020
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This study investigates the age and origin of leaf wax n-alkanes from a fluvial sediment–paleosol sequence (FSPS) by compound-class 14C dating. Our results show varying age offsets between the formation and sedimentation of leaf wax n-alkanes from well-developed (paleo)soils and fluvial sediments that are mostly due to their complex origin in such sequences. Thus, dating the leaf wax n-alkanes is an important step for more robust leaf-wax-based paleoenvironmental reconstructions in FSPSs.
James W. Kirchner and Scott T. Allen
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Yu Liu, Zeng Cui, Ze Huang, Hai-Tao Miao, and Gao-Lin Wu
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Adrià Barbeta, Sam P. Jones, Laura Clavé, Lisa Wingate, Teresa E. Gimeno, Bastien Fréjaville, Steve Wohl, and Jérôme Ogée
Hydrol. Earth Syst. Sci., 23, 2129–2146, https://doi.org/10.5194/hess-23-2129-2019, https://doi.org/10.5194/hess-23-2129-2019, 2019
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William Quinton, Aaron Berg, Michael Braverman, Olivia Carpino, Laura Chasmer, Ryan Connon, James Craig, Élise Devoie, Masaki Hayashi, Kristine Haynes, David Olefeldt, Alain Pietroniro, Fereidoun Rezanezhad, Robert Schincariol, and Oliver Sonnentag
Hydrol. Earth Syst. Sci., 23, 2015–2039, https://doi.org/10.5194/hess-23-2015-2019, https://doi.org/10.5194/hess-23-2015-2019, 2019
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Wouter H. Maes, Pierre Gentine, Niko E. C. Verhoest, and Diego G. Miralles
Hydrol. Earth Syst. Sci., 23, 925–948, https://doi.org/10.5194/hess-23-925-2019, https://doi.org/10.5194/hess-23-925-2019, 2019
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Potential evaporation (Ep) is the amount of water an ecosystem would consume if it were not limited by water availability or other stress factors. In this study, we compared several methods to estimate Ep using a global dataset of 107 FLUXNET sites. A simple radiation-driven method calibrated per biome consistently outperformed more complex approaches and makes a suitable tool to investigate the impact of water use and demand, drought severity and biome productivity.
Juan Fernando Salazar, Juan Camilo Villegas, Angela María Rendón, Estiven Rodríguez, Isabel Hoyos, Daniel Mercado-Bettín, and Germán Poveda
Hydrol. Earth Syst. Sci., 22, 1735–1748, https://doi.org/10.5194/hess-22-1735-2018, https://doi.org/10.5194/hess-22-1735-2018, 2018
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River flow regimes are being altered by global change. Understanding the mechanisms behind such alterations is crucial for hydrological prediction. We introduce a novel interpretation of river flow metrics (scaling) that allows any river basin to be classified as regulated or unregulated, and to identify transitions between these states. We propose the
forest reservoirhypothesis to explain how forest loss can force the Amazonian river basins from regulated to unregulated states.
Félicien Meunier, Valentin Couvreur, Xavier Draye, Mohsen Zarebanadkouki, Jan Vanderborght, and Mathieu Javaux
Hydrol. Earth Syst. Sci., 21, 6519–6540, https://doi.org/10.5194/hess-21-6519-2017, https://doi.org/10.5194/hess-21-6519-2017, 2017
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To maintain its yield, a plant needs to transpire water that it acquires from the soil. A deep understanding of the mechanisms that lead to water uptake location and intensity is required to correctly simulate the water transfer in the soil to the atmosphere. This work presents novel and general solutions of the water flow equation in roots with varying hydraulic properties that deeply affect the uptake pattern and the transpiration rate and can be used in ecohydrological models.
Robert L. Andrew, Huade Guan, and Okke Batelaan
Hydrol. Earth Syst. Sci., 21, 4469–4478, https://doi.org/10.5194/hess-21-4469-2017, https://doi.org/10.5194/hess-21-4469-2017, 2017
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In this study we statistically analyse the relationship between vegetation cover and components of total water storage. Splitting water storage into different components allows for a more comprehensive understanding of the temporal response of vegetation to changes in water storage. Generally, vegetation appears to be more sensitive to interannual changes in water storage than to shorter changes, though this varies in different land use types.
Tingting Ning, Zhi Li, and Wenzhao Liu
Hydrol. Earth Syst. Sci., 21, 1515–1526, https://doi.org/10.5194/hess-21-1515-2017, https://doi.org/10.5194/hess-21-1515-2017, 2017
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The relationship between controlling parameters of annual catchment water balance and climate seasonality (S) and vegetation coverage (M) was discussed under the Budyko framework and an empirical equation was further developed so that the contributions from M to actual evapotranspiration (ET) could be determined more accurately. The results showed that the effects of landscape condition changes to ET variation will be estimated with a large error if the impacts of S are ignored.
Stanislaus J. Schymanski and Dani Or
Hydrol. Earth Syst. Sci., 21, 685–706, https://doi.org/10.5194/hess-21-685-2017, https://doi.org/10.5194/hess-21-685-2017, 2017
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Most of the rain falling on land is returned to the atmosphere by plant leaves, which release water vapour (transpire) through tiny pores. To better understand this process, we used artificial leaves in a special wind tunnel and discovered major problems with an established approach (PM equation) widely used to quantify transpiration and its sensitivity to climate change. We present an improved set of equations, consistent with experiments and displaying more realistic climate sensitivity.
Jean-Paul Lhomme and Roger Moussa
Hydrol. Earth Syst. Sci., 20, 4857–4865, https://doi.org/10.5194/hess-20-4857-2016, https://doi.org/10.5194/hess-20-4857-2016, 2016
Short summary
Short summary
The Budyko functions are matched with the complementary evaporation relationship. We show that there is a functional dependence between the Budyko functions and the drying power of the air. Examining the case where potential evaporation is calculated by means of a Priestley–Taylor type equation with a varying coefficient, we show that this coefficient should have a specified value as a function of the Budyko shape parameter and the aridity index.
Wenfei Liu, Xiaohua Wei, Qiang Li, Houbao Fan, Honglang Duan, Jianping Wu, Krysta Giles-Hansen, and Hao Zhang
Hydrol. Earth Syst. Sci., 20, 4747–4756, https://doi.org/10.5194/hess-20-4747-2016, https://doi.org/10.5194/hess-20-4747-2016, 2016
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In recent decades, limited research has been conducted to examine the role of watershed properties in hydrological responses in large watersheds. Based on pair-wise comparisons, we conclude that reforestation decreased high flows but increased low flows in the watersheds studied. Hydrological recovery through reforestation is largely dependent on watershed properties when forest change and climate are similar and comparable. This finding has important implications for designing reforestation.
Kimberly J. Van Meter, Michael Steiff, Daniel L. McLaughlin, and Nandita B. Basu
Hydrol. Earth Syst. Sci., 20, 2629–2647, https://doi.org/10.5194/hess-20-2629-2016, https://doi.org/10.5194/hess-20-2629-2016, 2016
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Although village-scale rainwater harvesting (RWH) structures have been used for millennia in India, many of these structures have fallen into disrepair due to increased dependence on groundwater. This dependence has contributed to declines in groundwater resources, and in turn to efforts to revive older RWH systems. In the present study, we use field data to quantify water fluxes in a cascade of irrigation tanks to better our understanding of the impact of RWH systems on the water balance in con
Tobias Schuetz, Chantal Gascuel-Odoux, Patrick Durand, and Markus Weiler
Hydrol. Earth Syst. Sci., 20, 843–857, https://doi.org/10.5194/hess-20-843-2016, https://doi.org/10.5194/hess-20-843-2016, 2016
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We quantify the spatio-temporal impact of distinct nitrate sinks and sources on stream network nitrate dynamics in an agricultural headwater. By applying a data-driven modelling approach, we are able to fully distinguish between mixing and dilution processes, and biogeochemical in-stream removal processes along the stream network. In-stream nitrate removal is estimated by applying a novel transfer coefficient based on energy availability.
M. Majerova, B. T. Neilson, N. M. Schmadel, J. M. Wheaton, and C. J. Snow
Hydrol. Earth Syst. Sci., 19, 3541–3556, https://doi.org/10.5194/hess-19-3541-2015, https://doi.org/10.5194/hess-19-3541-2015, 2015
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This study quantifies the impacts of beaver on hydrologic and temperature regimes, as well as highlights the importance of understanding the spatial and temporal scales of those impacts.
Reach-scale discharge showed shift from losing to gaining. Temperature increased by 0.38°C (3.8%) and mean residence time by 230%. At the sub-reach scale, discharge gains and losses increased in variability. At the beaver dam scale, we observed increase in thermal heterogeneity with warmer and cooler niches.
J. P. Lhomme, N. Boudhina, M. M. Masmoudi, and A. Chehbouni
Hydrol. Earth Syst. Sci., 19, 3287–3299, https://doi.org/10.5194/hess-19-3287-2015, https://doi.org/10.5194/hess-19-3287-2015, 2015
J. P. Lhomme, N. Boudhina, and M. M. Masmoudi
Hydrol. Earth Syst. Sci., 18, 4341–4348, https://doi.org/10.5194/hess-18-4341-2014, https://doi.org/10.5194/hess-18-4341-2014, 2014
V. Couvreur, J. Vanderborght, L. Beff, and M. Javaux
Hydrol. Earth Syst. Sci., 18, 1723–1743, https://doi.org/10.5194/hess-18-1723-2014, https://doi.org/10.5194/hess-18-1723-2014, 2014
A. D. Jayakaran, T. M. Williams, H. Ssegane, D. M. Amatya, B. Song, and C. C. Trettin
Hydrol. Earth Syst. Sci., 18, 1151–1164, https://doi.org/10.5194/hess-18-1151-2014, https://doi.org/10.5194/hess-18-1151-2014, 2014
S. A. Howie and H. J. van Meerveld
Hydrol. Earth Syst. Sci., 17, 3421–3435, https://doi.org/10.5194/hess-17-3421-2013, https://doi.org/10.5194/hess-17-3421-2013, 2013
X. Cui, S. Liu, and X. Wei
Hydrol. Earth Syst. Sci., 16, 4279–4290, https://doi.org/10.5194/hess-16-4279-2012, https://doi.org/10.5194/hess-16-4279-2012, 2012
V. Couvreur, J. Vanderborght, and M. Javaux
Hydrol. Earth Syst. Sci., 16, 2957–2971, https://doi.org/10.5194/hess-16-2957-2012, https://doi.org/10.5194/hess-16-2957-2012, 2012
M. E. McClain, L. Chícharo, N. Fohrer, M. Gaviño Novillo, W. Windhorst, and M. Zalewski
Hydrol. Earth Syst. Sci., 16, 1685–1696, https://doi.org/10.5194/hess-16-1685-2012, https://doi.org/10.5194/hess-16-1685-2012, 2012
C. Rasmussen
Hydrol. Earth Syst. Sci., 16, 725–739, https://doi.org/10.5194/hess-16-725-2012, https://doi.org/10.5194/hess-16-725-2012, 2012
A. P. O'Grady, J. L. Carter, and J. Bruce
Hydrol. Earth Syst. Sci., 15, 3731–3739, https://doi.org/10.5194/hess-15-3731-2011, https://doi.org/10.5194/hess-15-3731-2011, 2011
J. D. Muehlbauer, M. W. Doyle, and E. S. Bernhardt
Hydrol. Earth Syst. Sci., 15, 1771–1783, https://doi.org/10.5194/hess-15-1771-2011, https://doi.org/10.5194/hess-15-1771-2011, 2011
K. Edmaier, P. Burlando, and P. Perona
Hydrol. Earth Syst. Sci., 15, 1615–1627, https://doi.org/10.5194/hess-15-1615-2011, https://doi.org/10.5194/hess-15-1615-2011, 2011
H. Iwasaki, H. Saito, K. Kuwao, T. C. Maximov, and S. Hasegawa
Hydrol. Earth Syst. Sci., 14, 301–307, https://doi.org/10.5194/hess-14-301-2010, https://doi.org/10.5194/hess-14-301-2010, 2010
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Short summary
A new physically based formulation is proposed to extend the Budyko framework under non-steady-state conditions, taking into account the change in water storage. The new formulation, which introduces an additional parameter, represents a generic framework applicable to any Budyko function at various time steps. It is compared to other formulations from the literature and the analytical solution of Greve et al. (2016) appears to be a particular case.
A new physically based formulation is proposed to extend the Budyko framework under...
