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Modelling and attributing evapotranspiration changes on China’s Loess Plateau with Budyko framework considering vegetation dynamics and climate seasonality

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Abstract

The Grain for Green Project in China’s Loess Plateau has significantly increased the vegetation coverage (M) since it was implemented in 1999. Accurately modelling evapotranspiration (ET) and attributing its changes are important for assessing the hydrological effects of revegetation in this area. Budyko-based models have been widely used to estimate ET whereby the controlling parameter (ω) captures the effects of land surface conditions and climate seasonality. Although the effects of climate seasonality on ET variation have been theoretically discussed, its important role in ω remains further investigation. An improved climate seasonality and asynchrony index (SAI) was thus used to reflect the seasonality and asynchrony of water and energy distribution in this study. Then ω was extended to M and SAI at grid scale to model annual ET by linking Fu equation in China’s Loess Plateau for the period 1981–2012. Further, the whole study period was split into two sub-periods at the year of 1999, and then the complementary method was used to quantify the contributions of precipitation (P), potential evapotranspiration (E0), M and SAI changes to ET variation between the two sub-periods. The results showed that ET increased by 5.1 mm/yr after 1999. ET is most sensitive to changes in P, followed by M, E0, and SAI. However, increasing M dominated the overall increase in ET, outweighing the effects of decreasing P and increasing SAI. Because SAI accounted for almost a third of total ET change, the impacts of climate seasonality cannot be ignored in ET simulation and attribution analysis.

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Data availability

The daily meteorological data are offered by National Meteorological Information Center, China Meteorological Administration (http://cdc.cma.gov.cn). The GIMMS NDVI3g data are offered by National Aeronautics and Space Administration-Goddard Space Flight Center Global Inventory Modeling and Mapping Studies (NASA-GSFC GIMMS) group (https://nex.nasa.gov/nex/projects/1349/). The land use data are obtained from Resource and Environment Data Cloud Platform, Institute of Geographic Sciences and Natural Resources Research, CAS (http://www.resdc.cn/data.aspx?DATAID=95).

References

  • Berghuijs WR, Woods RA (2016) A simple framework to quantitatively describe monthly precipitation and temperature climatology. Int J Climatol 36(9):3161–3174

    Google Scholar 

  • Budyko MI (1948) Evaporation under natural conditions. Gidrometeorizdat, Leningrad. English translation by IPST, Jerusalem

  • Budyko MI (1974) Climate and life. Academic, New York

    Google Scholar 

  • Burba GG, Verma SB (2005) Seasonal and interannual variability in evapotranspiration of native tallgrass prairie and cultivated wheat ecosystems. Agric For Meteorol 135(1–4):190–201

    Google Scholar 

  • Crouzeilles R et al (2016) A global meta-analysis on the ecological drivers of forest restoration success. Nat Commun 7:11666

    CAS  Google Scholar 

  • Daly E, Calabrese S, Yin J, Porporato A (2019a) Hydrological spaces of long-term catchment water balance. Water Resour Res 55:10747–10764

    Google Scholar 

  • Daly E, Calabrese S, Yin J, Porporato A (2019b) Linking parametric and water-balance models of the Budyko and Turc spaces. Adv Water Resour 134:103435

    Google Scholar 

  • Davies JA, Allen CD (1973) Equilibrium, potential and actual evaporation from cropped surfaces in Southern Ontario. J Appl Meteorol 12(4):649–657

    Google Scholar 

  • Donohue RJ, Roderick ML, McVicar TR (2007) On the importance of including vegetation dynamics in Budyko’s hydrological model. Hydrol Earth Syst Sci 11:983–995

    Google Scholar 

  • Eichinger WE, Parlange MB, Stricker H (1996) On the concept of equilibrium evaporation and the value of the Priestley–Taylor coefficient. Water Resour Res 32(1):161–164

    CAS  Google Scholar 

  • Feng X, Vico G, Porporato A (2012) On the effects of seasonality on soil water balance and plant growth. Water Resour Res 48:W05543

    Google Scholar 

  • Feng X, Porporato A, Rodriguez-Iturbe I (2013) Changes in rainfall seasonality in the tropics. Nat Clim Change 3(9):811–815

    Google Scholar 

  • Feng X, Fu B, Piao S, Wang S, Ciais P (2016) Revegetation in China’s Loess Plateau is approaching sustainable water resource limits. Nat Clim Change 6:1019–1022

    Google Scholar 

  • Fu B (1981) On the calculation of the evaporation from land surface. Sci Atmos Sin 5:23–31 (in Chinese)

    Google Scholar 

  • Gao X, Sun M, Zhao Q, Wu P, Zhao X, Pan W, Wang Y (2016) Actual ET modelling based on the Budyko framework and the sustainability of vegetation water use in the loess plateau. Sci Total Environ 579:1550–1559

    Google Scholar 

  • Gao M, Chen X, Liu J, Zhang Z (2018) Regionalization of annual runoff characteristics and its indication of co-dependence among hydro-climate-landscape factors in Jinghe River Basin, China. Stoch Environ Res Risk Assess 32:1613–1630

    Google Scholar 

  • He B, Wang H, Guo L, Liu J (2017) Global analysis of ecosystem evapotranspiration response to precipitation deficits. J Geophys Res-Atmos 122:13308–13318

    Google Scholar 

  • Hickel K, Zhang L (2006) Estimating the impact of rainfall seasonality on mean annual water balance using a top-down approach. J Hydrol 331:409–424

    Google Scholar 

  • Ho CH, Lee JY, Ahn MH, Lee HS (2003) A sudden change in summer rainfall characteristics in Korea during the late 1970s. Int J Climatol 23(1):117–128

    Google Scholar 

  • Huang K, Zhang Y, Zhu J, Liu Y, Zu J, Zhang J (2016) The influences of climate change and human activities on vegetation dynamics in the Qinghai-Tibet Plateau. Remote Sens 8:876

    Google Scholar 

  • Jaramillo F, Cory N, Arheimer B, Laudon H, van der Velde Y, Hasper TB, Teutschbein C, Uddling J (2018) Dominant effect of increasing forest biomass on evapotranspiration: interpretations of movement in Budyko space. Hydrol Earth Syst Sci 22(1):567–580

    Google Scholar 

  • Jiang C, Xiong LH, Wang DB, Liu P, Guo SL, Xu CY (2015) Separating the impacts of climate change and human activities on runoff using the Budyko-type equations with time-varying parameters. J Hydrol 522:326–338

    Google Scholar 

  • Jiang C, Xiong L, Guo S, Xia J, Xu C (2017) A process-based insight into nonstationarity of the probability distribution of annual runoff. Water Resour Res 53(5):4214–4235

    Google Scholar 

  • Katul GG, Oren R, Manzoni S, Higgins C, Parlange MB (2012) Evapotranspiration: a process driving mass transport and energy exchange in the soil-plant-atmosphere-climate system. Rev Geophys 50:RG3002

    Google Scholar 

  • Latawiec AE, Strassburg BBN, Brancalion PHS, Rodrigues RR, Gardner T (2015) Creating space for large-scale restoration in tropical agricultural landscapes. Front Ecol Environ 13:211–218

    Google Scholar 

  • Li Z, Zheng FL, Liu WZ (2012) Spatiotemporal characteristics of reference evapotranspiration during 1961–2009 and its projected changes during 2011–2099 on the Loess Plateau of China. Agric For Meteorol 154:147–155

    Google Scholar 

  • Li D, Pan M, Cong Z, Zhang L, Wood E (2013) Vegetation control on water and energy balance within the Budyko framework. Water Resour Res 49:969–976

    Google Scholar 

  • Li G, Zhang F, Jing Y, Liu Y, Sun G (2017) Response of evapotranspiration to changes in land use and land cover and climate in China during 2001–2013. Sci Total Environ 596–597:256–265

    Google Scholar 

  • Liu Q, McVicar TR (2012) Assessing climate change induced modification of Penman potential evaporation and runoff sensitivity in a large water-limited basin. J Hydrol 464:352–362

    Google Scholar 

  • Liu J, Zhang Q, Singh VP, Song C, Zhang Y, Sun P, Gu X (2018) Hydrological effects of climate variability and vegetation dynamics on annual fluvial water balance in global large river basins. Hydrol Earth Syst Sci 22:4047–4060

    Google Scholar 

  • Lupon A, Ledesma JLJ, Bernal S (2018) Riparian evapotranspiration is essential to simulate streamflow dynamics and water budgets in a Mediterranean catchment. Hydrol Earth Syst Sci 22:4033–4045

    CAS  Google Scholar 

  • Martin-Vide J (2004) Spatial distribution of a daily precipitation concentration index in peninsular Spain. Int J Climatol 24:959–971

    Google Scholar 

  • McCuen RH (1974) Sensitivity and error analysis of procedures used for estimating evaporation. J Am Water Resour Assoc 10:486–497

    Google Scholar 

  • Milly PCD (1994) Climate, soil-water storage, and the average annual water-balance. Water Resour Res 30:2143–2156

    Google Scholar 

  • Ning T, Li Z, Liu W (2017) Vegetation dynamics and climate seasonality jointly control the interannual catchment water balance in the Loess Plateau under the Budyko framework. Hydrol Earth Syst Sci 21:1515–1526

    Google Scholar 

  • Ning T, Li Z, Feng Q, Liu W, Li Z (2018) Comparison of the effectiveness of four Budyko-based methods in attributing long-term changes in actual evapotranspiration. Sci Rep 8:12665

    Google Scholar 

  • Ning T, Zhou S, Chang F, Shen H, Li Z, Liu W (2019) Interaction of vegetation, climate and topography on evapotranspiration modelling at different time scales within the Budyko framework. Agric For Meteorol 275:59–68

    Google Scholar 

  • Padrón RS, Gudmundsson L, Greve P, Seneviratne SI (2017) Large-scale controls of the surface water balance over land: insights from a systematic review and meta-analysis. Water Resour Res 53(11):9659–9678

    Google Scholar 

  • Parlange MB, Katul GG (1992) An Advection-aridity evaporation model. Water Resour Res 28(1):127–132

    Google Scholar 

  • Peel MC, McMahon TA, Finlayson BL (2010) Vegetation impact on mean annual evapotranspiration at a global catchment scale. Water Resour Res 46:W09508

    Google Scholar 

  • Polyakov VO, Nichols MH, McClaran MP, Nearing MA (2014) Effect of check dams on runoff, sediment yield, and retention on small semiarid watersheds. J Soil Water Conserv 69:414–421

    Google Scholar 

  • Porporato A, Daly E, Rodriguez-Iturbe I (2004) Soil water balance and ecosystem response to climate change. Am Nat 164(5):625–632

    Google Scholar 

  • Potter NJ, Zhang L, Milly PCD, McMahon TA, Jakeman AJ (2005) Effects of rainfall seasonality and soil moisture capacity on mean annual water balance for Australian catchments. Water Resour Res 41(6):W06007

    Google Scholar 

  • Priestley C, Taylor R (1972) On the assessment of surface heat flux and evaporation using large-scale parameters. Mon Weather Rev 100:81–92

    Google Scholar 

  • Roderick ML, Farquhar GD (2011) A simple framework for relating variations in runoff to variations in climatic conditions and catchment properties. Water Resour Res 47:W00G07

    Google Scholar 

  • Shao R, Zhang B, Su T, Long B, Cheng L, Xue Y, Yang W (2019) Estimating the increase in regional evaporative water consumption as a result of vegetation restoration over the Loess Plateau, China. J Geophys Res Atmos 124(22):11783–11802

    Google Scholar 

  • Shuttleworth WJ, Calder IR (1979) Has the Priestley–Taylor equation any relevance to forest evaporation. J Appl Meteorol 18(5):639–646

    Google Scholar 

  • Verdone M, Seidl A (2017) Time, space, place, and the Bonn Challenge global forest restoration target. Restor Ecol 25:903–911

    Google Scholar 

  • Villarini G, Smith JA, Ntelekos AA, Schwarz U (2011) Annual maximum and peaks-over-threshold analyses of daily rainfall accumulations for Austria. J Geophys Res Atmos 116:D05103

    Google Scholar 

  • Walsh RPD, Lawler DM (1981) Rainfall seasonality: description, spatial patterns and change through time. Weather 36:201–208

    Google Scholar 

  • Wan Z, Zhang K, Xue X, Hong Z, Hong Y, Gourley JJ (2015) Water balance-based actual evapotranspiration reconstruction from ground and satellite observations over the conterminous United States. Water Resour Res 51:6485–6499

    Google Scholar 

  • Wang D, Hejazi M (2011) Quantifying the relative contribution of the climate and direct human impacts on mean annual streamflow in the contiguous United States. Water Resour Res 47:W00J12

    Google Scholar 

  • Wang K, Wang P, Li Z, Cribb M, Sparrow M (2007) A simple method to estimate actual evapotranspiration from a combination of net radiation, vegetation index, and temperature. J Geophys Res Atmos 112:D15107

    Google Scholar 

  • Wang C, Wang S, Fu BJ, Zhang L (2016) Advances in hydrological modelling with the Budyko framework: a review. Prog Phys Geogr 40:409–430

    Google Scholar 

  • Wei X, Li Q, Zhang M, Giles-Hansen K, Liu W, Fan H, Wang Y, Zhou G, Piao S, Liu S (2018) Vegetation cover-another dominant factor in determining global water resources in forested regions. Glob Change Biol 242:786–795

    Google Scholar 

  • Woods R (2003) The relative roles of climate, soil, vegetation and topography in determining seasonal and long-term catchment dynamics. Adv Water Resour 26:295–309

    Google Scholar 

  • Xu X, Liu W, Scanlon BR, Zhang L, Pan M (2013) Local and global factors controlling water-energy balances within the Budyko framework. Geophys Res Lett 40:6123–6129

    Google Scholar 

  • Yang D, Sun F, Liu Z, Cong Z, Ni G, Lei Z (2007) Analyzing spatial and temporal variability of annual water-energy balance in nonhumid regions of China using the Budyko hypothesis. Water Resour Res 43:W04426

    Google Scholar 

  • Yang H, Yang D, Lei Z, Sun F (2008) New analytical derivation of the mean annual water-energy balance equation. Water Resour Res 44:W03410

    Google Scholar 

  • Yang D, Shao W, Yeh PJF, Yang H, Kanae S, Oki T (2009) Impact of vegetation coverage on regional water balance in the nonhumid regions of China. Water Resour Res 45:W00A14

    Google Scholar 

  • Yao J, Mao W, Yang Q, Xu X, Liu Z (2017) Annual actual evapotranspiration in inland river catchments of China based on the Budyko framework. Stoch Environ Res Risk Assess 31:1409–1421

    Google Scholar 

  • Zhang L, Dawes WR, Walker GR (2001) Response of mean annual evapotranspiration to vegetation changes at catchment scale. Water Resour Res 37:701–708

    Google Scholar 

  • Zhang L, Zhao F, Chen Y, Dixon RNM (2011) Estimating effects of plantation expansion and climate variability on streamflow for catchments in Australia. Water Resour Res 47:W00G08

    Google Scholar 

  • Zhang S, Yang H, Yang D, Jayawardena AW (2016a) Quantifying the effect of vegetation change on the regional water balance within the Budyko framework. Geophys Res Lett 43:1140–1148

    Google Scholar 

  • Zhang Y, Zhang C, Wang Z, Chen Y, Gang C, An R, Li J (2016b) Vegetation dynamics and its driving forces from climate change and human activities in the Three-River Source Region, China from 1982 to 2012. Sci Total Environ 563:210–220

    Google Scholar 

  • Zhou S, Yu B, Huang Y, Wang G (2015) The complementary relationship and generation of the Budyko functions. Geophys Res Lett 42:1781–1790

    Google Scholar 

  • Zhou S, Yu B, Zhang L, Huang Y, Pan M, Wang G (2016) A new method to partition climate and catchment effect on the mean annual runoff based on the Budyko complementary relationship. Water Resour Res 52:7163–7177

    Google Scholar 

  • Zuleta G, Rovere AE, Perez D, Campanello PI, Guida Johnson B, Escartin C, Dalmasso A, Renison D, Ciano N, Aronson J (2015) Establishing the ecological restoration network in Argentina: from Rio 1992 to SIACRE2015. Restor Ecol 232:95–103

    Google Scholar 

Download references

Acknowledgements

This study was supported by the National Natural Science Foundation of China (No. 41807160), and the CAS “Light of West China” Program (Y929651001).

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Authors and Affiliations

  1. Key Laboratory of Ecohydrology of Inland River Basin, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou, 730000, China

    Tingting Ning & Qi Feng

  2. State Key Laboratory of Soil Erosion and Dryland Farming on the Loess Plateau, Northwest A&F University, Yangling, 712100, Shaanxi, China

    Wenzhao Liu & Zhi Li

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  1. Tingting Ning
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  2. Wenzhao Liu
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  4. Qi Feng
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Correspondence to Qi Feng.

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Ning, T., Liu, W., Li, Z. et al. Modelling and attributing evapotranspiration changes on China’s Loess Plateau with Budyko framework considering vegetation dynamics and climate seasonality. Stoch Environ Res Risk Assess 34, 1217–1230 (2020). https://doi.org/10.1007/s00477-020-01813-0

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