Water balance modeling over variable time scales based on the Budyko framework – Model development and testing

Zhang, Lu; Potter, Nick; Hickel, Klaus; Zhang, Yongqiang; Shao, Quanxi

doi:10.1016/j.jhydrol.2008.07.021

Cited by 393 publications

(392 citation statements)

References 22 publications

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“…For example, Wang et al (2009) found that the inter-annual water storage change should be considered due to the hysteresis response of the base flow to the inter-annual precipitation change in Nebraka Sand Hills. Zhang et al (2008) considered the impacts of soil water and groundwater storage and developed a monthly water balance model based on the BH with application in 265 catchments in Australia. Yokoo et al (2008) highlighted the importance of soil water storage change in determining both annual and seasonal water balances.…”

Section: Du Et Al: Role Of Water Balance In An Extended Budyko Hymentioning

confidence: 99%

“…Chen et al (2013) defined the difference between rainfall and storage change as effective precipitation to develop a seasonal model for construction long-term evapotranspiration. Therefore, water storage change should be taken into account as the important part of the steady-state assumption of the BH (Zhang et al, 2008).…”

Section: Du Et Al: Role Of Water Balance In An Extended Budyko Hymentioning

confidence: 99%

“…Hence, it presents a great challenge to apply the BH to unsteady-state conditions (unclosed basins or intense water storage changes). The BH has been widely applied to mild arid basins with precipitation of 300-400 mm and aridity index of less than, for example, 5, such as over northern China (Yang et al, 2007), the southwestern regions of MOPEX catchments (Gentine et al, 2012;Carmona et al, 2014) and the west of Australia (Zhang et al, 2008). However, it is rare to apply the BH in extremely arid environments (say, the aridity index over 5), where water systems are typically unclosed with intense human interference and irrigation.…”

Section: Du Et Al: Role Of Water Balance In An Extended Budyko Hymentioning

confidence: 99%

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New interpretation of the role of water balance in an extended Budyko hypothesis in arid regions

Sun

et al. 2016

Hydrol. Earth Syst. Sci.

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Abstract. The Budyko hypothesis (BH) is an effective approach to investigating long-term water balance at large basin scale under steady state. The assumption of steady state prevents applications of the BH to basins, which is unclosed, or with significant variations in root zone water storage, i.e., under unsteady state, such as in extremely arid regions. In this study, we choose the Heihe River basin (HRB) in China, an extremely arid inland basin, as the study area. We firstly use a calibrated and then validated monthly water balance model, i.e., the abcd model, to quantitatively determine annual and monthly variations of water balance for the sub-basins and the whole catchment of the HRB, and find that the roles of root zone water storage change and that of inflow from upper sub-basins in monthly water balance are significant. With the recognition of the inflow water from other regions and the root zone water storage change as additional possible water sources to evapotranspiration in unclosed basins, we further define the equivalent precipitation (P e ) to include local precipitation, inflow water and root zone water storage change as the water supply in the Budyko framework. With the newly defined water supply, the Budyko curve can successfully describe the relationship between the evapotranspiration ratio and the aridity index at both annual and monthly timescales, whilst it fails when only the local precipitation being considered. Adding to that, we develop a new Fu-type Budyko equation with two non-dimensional parameters (ω and λ) based on the deviation of Fu's equation. Over the annual timescale, the new Fu-type Budyko equation developed here has more or less identical performance to Fu's original equation for the sub-basins and the whole catchment. However, over the monthly timescale, due to large seasonality of root zone water storage and inflow water, the new Fu-type Budyko equation generally performs better than Fu's original equation. The new Fu-type Budyko equation (ω and λ) developed here enables one to apply the BH to interpret regional water balance over extremely dry environments under unsteady state (e.g., unclosed basins or sub-annual timescales).

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Section: Du Et Al: Role Of Water Balance In An Extended Budyko Hymentioning

confidence: 99%

Section: Du Et Al: Role Of Water Balance In An Extended Budyko Hymentioning

confidence: 99%

Section: Du Et Al: Role Of Water Balance In An Extended Budyko Hymentioning

confidence: 99%

See 1 more Smart Citation

New interpretation of the role of water balance in an extended Budyko hypothesis in arid regions

Sun

et al. 2016

Hydrol. Earth Syst. Sci.

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“…S b and S e are, respectively, the storage at the beginning and the end of the time period t. and the month (Zhang et al, 2008;Du et al, 2016). However, the water storage variation S cannot be considered as negligible when dealing with these finer timescales or for unclosed basins (e.g., soil, groundwater, reservoir, snow, interbasin water transfer, irrigation; Jaramillo and Destouni, 2015).…”

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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“…The Budyko hypothesis has been widely used as a conceptual framework for examining basin water balance in a range of climates and environmental conditions, and for developing and validating regional hydrologic models ( Milly and Dunne, 1994;Choudhury, 1999;Koster and Suarez, 1999;Atkinson et al, 2002;Farmer et al, 2003;Porporato et al, 2004;Zhang et al, 2001Zhang et al, , 2004Zhang et al, , 2008. The simplistic nature of this hypothesis provides an opportunity to relate the steady-state lake water balance model to climate.…”

Section: Analytical Modelmentioning

confidence: 99%

A hydro-climatological lake classification model and its evaluation using global data

Bracht-Flyr

Istanbulluoglu

Fritz

2013

Journal of Hydrology

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Water balance modeling over variable time scales based on the Budyko framework – Model development and testing

Cited by 393 publications

References 22 publications

New interpretation of the role of water balance in an extended Budyko hypothesis in arid regions

New interpretation of the role of water balance in an extended Budyko hypothesis in arid regions

The Budyko functions under non-steady-state conditions

A hydro-climatological lake classification model and its evaluation using global data

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