Selection of time-phases of water and heat in climate seasonality indexes under Budyko-Fu model
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DOI:10.7606/j.issn.1000-7601.2019.03.27
Key Words: Budyko-Fu equation  climate seasonality index  time-phase of water-heat  streamflow  catchment water balance
Author NameAffiliation
CHANG Fei-yang Institute of Soil and Water ConservationNorthwest A&F UniversityYanglingShaanxi 712100China 
LIU Wen-zhao Institute of Soil and Water ConservationNorthwest A&F UniversityYanglingShaanxi 712100China
Key Laboratory of Soil Erosion and Dryland Farming on the Loess PlateauInstitute of Soil and Water Conservation, Chinese Academy of Sciences and Ministry of Water ResourcesYanglingShaanxi 712100China 
ZHOU Hai-xiang Key Laboratory of Soil Erosion and Dryland Farming on the Loess PlateauInstitute of Soil and Water Conservation, Chinese Academy of Sciences and Ministry of Water ResourcesYanglingShaanxi 712100China 
NING Ting-ting Key Laboratory of Ecohydrology of Inland River CatchmentNorthwest Institute of Ecology and Environmental Resources, Chinese Academy of SciencesLanzhouGansu 730000China 
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Abstract:
      Budyko models have been widely used in studying the catchment water-heat coupling process in recent years,among which Budyko-Fu model received greater attentions. Taking Jinghe River on the Loess Plateau as an example,the relationship between the controlling parameter,ω,in Budyko-Fu model and three climate seasonality indexes were analyzed in this study. The three climate seasonality indexes included SI1-considering the monthly precipitation departure in a year,SI2-considering the amplitude difference between seasonal variations of precipitation and potential evapotranspiration by sinusoidal simulation,and SAI-considering the time-phase differences between seasonal variations of precipitation and potential evapotranspiration on the basis of SI2. Then,the impact of time-phases change of both precipitation and potential evapotranspiration on the calculation of SAI was discussed,so there were two indexes,SAI1 and SAI2. Further,the effects of different climate seasonality indexes on streamflow simulation were compared. The results showed that in the analysis of catchment water-heat coupling process,the SAI2 performed well,in which the time-phases of water-heat seasonality were determined by the mean annual precipitation and potential evapotranspiration and remained unchanged from year to year. The coefficient of determination (R2) in the semi-empirical equation of ω given by SAI2 and NDVI was 0.746. The simulation accuracy of annual streamflow using this equation was also improved.