| DOI: | 10.5194/hess-20-4867-2016
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| Scopus记录号: | 2-s2.0-85006246949
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| 论文题名: | The Budyko functions under non-steady-state conditions |
| 作者: | Moussa R; , Lhomme J; -P
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| 刊名: | Hydrology and Earth System Sciences
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| ISSN: | 10275606
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| 出版年: | 2016
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| 卷: | 20, 期:12 | | 起始页码: | 4867
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| 结束页码: | 4879
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| 语种: | 英语
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| Scopus关键词: | Digital storage
; Evaporation
; Dimensionless parameters
; Generic frameworks
; Lower boundary
; Non-steady-state conditions
; Physically based
; Potential evaporation
; Steady-state condition
; Terrestrial water storage
; Aluminum
; aridity
; dimensionless number
; equation
; feasibility study
; index method
; precipitation (climatology)
; season
; steady-state equilibrium
; water storage
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| 英文摘要: | The Budyko functions relate the evaporation ratio E/P (E is evaporation and P precipitation) to the aridity index Φ = Ep/P (Ep 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-steady-state conditions taking into account the change in terrestrial water storage ΔS. The variation in storage amount ΔS is taken as negative when withdrawn from the area at stake and used for evaporation and positive otherwise, when removed from the precipitation and stored in the area.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 HE = -ΔS/Ep 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 Ep, P and ΔS. For the particular case where the Fu-Zhang equation is used, the ML formulation with ΔS ≤ 0 is similar to the analytical solution of Greve et al. (2016) in the standard Budyko space (Ep/P, E/P), a simple relationship existing between their respective parameters. The ML formulation is extended to the space [Ep/(P - ΔS), E/(P - ΔS)] 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 Ep/(P - ΔS) differs: for ΔS ≤ 0, it is bounded by an upper limit 1/HE 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 HP = -ΔS/P instead of HE, which yields another form of the equations. © Author(s) 2016. |
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| 资源类型: | 期刊论文
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| 标识符: | http://119.78.100.158/handle/2HF3EXSE/78670
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| Appears in Collections: | 气候变化事实与影响
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作者单位: | INRA, UMR LISAH, 2 place Viala, Montpellier, France; IRD, UMR LISAH, 2 place Viala, Montpellier, France
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| Recommended Citation: | |
Moussa R,, Lhomme J,-P. The Budyko functions under non-steady-state conditions[J]. Hydrology and Earth System Sciences,2016-01-01,20(12)
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