Shift of annual water balance in the Budyko space for catchments with
groundwater-dependent evapotranspiration

Wang, Xu‐Sheng; Zhou, Yangxiao

doi:10.5194/hess-20-3673-2016

Cited by 40 publications

(52 citation statements)

References 42 publications

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“…It must be noted in passing that the ML formulation has not been tested extensively against experimental data, although, as Moussa and Lhomme [1] have pointed out, the behavior of model equations in their formulation as functions of ET 0 /P is consistent with experimental data on catchment ET/P reported by others whose successful models of these data are special cases of the ML formulation [5,6,16,26]. The ML formulation is also consistent with the compilation of ET/P data for catchments in the United States reported by Sankarasubramanian and Vogel [20,21], as discussed above.…”

Section: Discussionsupporting

confidence: 54%

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Incorporating the Vadose Zone into the Budyko Framework

Sposito

2017

Water

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Abstract:The Budyko framework provides a quantitative description of long-term average annual evapotranspiration at catchment scales in terms of macro-climatic variables. This framework, however, makes no reference to the vadose zone because it neglects changes in subsurface storage in the catchment water balance. Recent studies have shown clearly that vadose-zone water storage cannot be neglected at sub-catchment or sub-annual space and time scales, resulting in numerous model attempts to extend the original Budyko framework to incorporate the full water balance equation. Here we apply the approach taken in a companion paper on the original Budyko framework to show that it can be generalized rigorously to include changes in vadose-zone water storage in a manner that is both parsimonious in hypotheses and broad in scope.

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Section: Discussionsupporting

confidence: 54%

“…where ϕ has the same meaning as in Equation (26). If y 0 = 0, Equation (A3) reduces to the Fu model for ET/P [4,19].…”

Section: Appendix a Extending The Fu Modelmentioning

confidence: 99%

Incorporating the Vadose Zone into the Budyko Framework

Sposito

2017

Water

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“…It should be noted, though, that the Budyko framework is only valid for long‐term water balances assuming hydrological steady state (i.e., negligible change in storage). This usually occurs in a time span of several years (Williams et al ., ; Wang & Zhou, ). As in Creed et al .…”

Section: Discussionmentioning

confidence: 99%

“…It should be noted, though, that the Budyko framework is only valid for long-term water balances assuming hydrological steady state (i.e., negligible change in storage). This usually occurs in a time span of several years (Williams et al, 2012;Wang & Zhou, 2016). As in Creed et al (2014), we assumed that 5-year periods are long enough to achieve such hydrological steady state in the forested catchments in our study region.…”

Section: Discussionmentioning

confidence: 99%

Forests growing under dry conditions have higher hydrological resilience to drought than do more humid forests

Helman

Lensky

Yakir

et al. 2016

Global Change Biology

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More frequent and intense droughts are projected during the next century, potentially changing the hydrological balances in many forested catchments. Although the impacts of droughts on forest functionality have been vastly studied, little attention has been given to studying the effect of droughts on forest hydrology. Here, we use the Budyko framework and two recently introduced Budyko metrics (deviation and elasticity) to study the changes in the water yields (rainfall minus evapotranspiration) of forested catchments following a climatic drought (2006-2010) in pine forests distributed along a rainfall gradient (P = 280-820 mm yr ) in the Eastern Mediterranean (aridity factor = 0.17-0.56). We use a satellite-based model and meteorological information to calculate the Budyko metrics. The relative water yield ranged from 48% to 8% (from the rainfall) in humid to dry forests and was mainly associated with rainfall amount (increasing with increased rainfall amount) and bedrock type (higher on hard bedrocks). Forest elasticity was larger in forests growing under drier conditions, implying that drier forests have more predictable responses to drought, according to the Budyko framework, compared to forests growing under more humid conditions. In this context, younger forests were shown more elastic than older forests. Dynamic deviation, which is defined as the water yield departure from the Budyko curve, was positive in all forests (i.e., less-than-expected water yields according to Budyko's curve), increasing with drought severity, suggesting lower hydrological resistance to drought in forests suffering from larger rainfall reductions. However, the dynamic deviation significantly decreased in forests that experienced relatively cooler conditions during the drought period. Our results suggest that forests growing under permanent dry conditions might develop a range of hydrological and eco-physiological adjustments to drought leading to higher hydrological resilience. In the context of predicted climate change, such adjustments are key factors in sustaining forested catchments in water-limited regions.

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“…In these cases, the catchment is considered to be under non-steady-state conditions ( Fig. 1) and the basin water balance should be written as P = E + Q + S. Table 2 shows some recent formulations of the Budyko framework extended to take into account the change in catchment water storage S. Chen et al (2013) (used in Fang et al, 2016 and Du et al (2016) proposed empirical modifications of the TurcMezentsev and Fu-Zhang equations, respectively, precipitation P being replaced by the available water supply defined as (P − S), with Du et al (2016) including the interbasin water transfer into S. Greve et al (2016) analytically modified the Fu-Zhang equation in the standard Budyko space (E p / P , E / P ) introducing an additional parameter, whereas Wang and Zhou (2016) proposed in the same Budyko space a formulation issued from the hydrological ABCD model (Alley, 1984), but with two additional parameters.…”

Section: Referencementioning

confidence: 99%

The Budyko functions under non-steady-state conditions

Moussa

Lhomme

2016

Hydrol. Earth Syst. Sci.

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Abstract. The Budyko functions relate the evaporation ratio E / P (E is evaporation and P precipitation) to the aridity index = E p / P (E p is potential evaporation) and are valid on long timescales under steady-state conditions. A new physically based formulation (noted as Moussa-Lhomme, ML) is proposed to extend the Budyko framework under non-steadystate conditions taking into account the change in terrestrial water storage S. The variation in storage amount S is taken as negative when withdrawn from the area at stake and used for evaporation and positive otherwise, when removed from the precipitation and stored in the area. The ML formulation introduces a dimensionless parameter H E = − S / E p and can be applied with any Budyko function. It represents a generic framework, easy to use at various time steps (year, season or month), with the only data required being E p , P and S. For the particular case where the Fu-Zhang equation is used, the ML formulation with S ≤ 0 is similar to the analytical solution of Greve et al. (2016) in the standard Budyko space (E p / P , E / P ), a simple relationship existing between their respective parameters. The ML formulation is extended to the space [E p / (P − S), E / (P − S)] and compared to the formulations of Chen et al. (2013) and Du et al. (2016). The ML (or Greve et al., 2016) feasible domain has a similar upper limit to that of Chen et al. (2013) and Du et al. (2016), but its lower boundary is different. Moreover, the domain of variation of E p / (P − S) differs: for S ≤ 0, it is bounded by an upper limit 1 / H E in the ML formulation, while it is only bounded by a lower limit in Chen et al.'s (2013) and Du et al.'s (2016) formulations. The ML formulation can also be conducted using the dimensionless parameter H P = − S / P instead of H E , which yields another form of the equations.

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Shift of annual water balance in the Budyko space for catchments with groundwater-dependent evapotranspiration

Cited by 40 publications

References 42 publications

Incorporating the Vadose Zone into the Budyko Framework

Incorporating the Vadose Zone into the Budyko Framework

Forests growing under dry conditions have higher hydrological resilience to drought than do more humid forests

The Budyko functions under non-steady-state conditions

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