DOI: 10.5194/hess-20-589-2016
Scopus记录号: 2-s2.0-84957543036
论文题名: A scaling approach to Budyko's framework and the complementary relationship of evapotranspiration in humid environments: Case study of the Amazon River basin
作者: Carmona A ; M ; , Poveda G ; , Sivapalan M ; , Vallejo-Bernal S ; M ; , Bustamante E
刊名: Hydrology and Earth System Sciences
ISSN: 10275606
出版年: 2016
卷: 20, 期: 2 起始页码: 589
结束页码: 603
语种: 英语
Scopus关键词: Evapotranspiration
; Rivers
; Runoff
; State space methods
; Watersheds
; Actual evapotranspiration
; Budyko-type equations
; Complementary relationship
; Fundamental characteristics
; Interannual variability
; Potential evapotranspiration
; Power-law parameters
; State space representation
; Catchments
; analytical framework
; annual variation
; catchment
; data processing
; evapotranspiration
; humid environment
; hydrological modeling
; power law
; precipitation (climatology)
; statistical analysis
; Amazon Basin
英文摘要: This paper studies a 3-D state space representation of Budyko's framework designed to capture the mutual interdependence among long-term mean actual evapotranspiration (E), potential evapotranspiration (Ep) and precipitation (P). For this purpose we use three dimensionless and dependent quantities: Ψ= E/P , =p/P and Ω =E/Ep. This 3-D space and its 2-D projections provide an interesting setting to test the physical soundness of Budyko's hypothesis. We demonstrate analytically that Budyko-type equations are unable to capture the physical limit of the relation between Ω and in humid environments, owing to the unfeasibility of Ep/P =0 when E/Ep →1. Using data from 146 sub-catchments in the Amazon River basin we overcome this inconsistency by proposing a physically consistent power law: Ψ =kΦe, with k =0.66, and e=0.83 (R2 =0.93). This power law is compared with two other Budyko-type equations. Taking into account the goodness of fits and the ability to comply with the physical limits of the 3-D space, our results show that the power law is better suited to model the coupled water and energy balances within the Amazon River basin. Moreover, k is found to be related to the partitioning of energy via evapotranspiration in terms of Ω. This suggests that our power law implicitly incorporates the complementary relationship of evapotranspiration into the Budyko curve, which is a consequence of the dependent nature of the studied variables within our 3-D space. This scaling approach is also consistent with the asymmetrical nature of the complementary relationship of evapotranspiration. Looking for a physical explanation for the parameters k and e, the interannual variability of individual catchments is studied. Evidence of space-time symmetry in Amazonia emerges, since both between-catchment and between-year variability follow the same Budyko curves. Finally, signs of co-evolution of catchments are explored by linking spatial patterns of the power law parameters with fundamental characteristics of the Amazon River basin. In general, k and e are found to be related to vegetation, topography and water in soils. © Author(s) 2016. Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/78921
Appears in Collections: 气候变化事实与影响
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作者单位: Department of Geosciences and Environment, Universidad Nacional de Colombia, Sede Medellín, Medellín, Colombia; Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois, United States; Department of Geography and Geographic Information Science, University of Illinois at Urbana-Champaign, Urbana, Illinois, United States; Department of Mathematics, Universidad Nacional de Colombia, Sede Medellín, Medellín, Colombia
Recommended Citation:
Carmona A,M,, Poveda G,et al. A scaling approach to Budyko's framework and the complementary relationship of evapotranspiration in humid environments: Case study of the Amazon River basin[J]. Hydrology and Earth System Sciences,2016-01-01,20(2)