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Modeling the evapotranspiration of Lycium barbarum with drip irrigation based on the shuttleworth-wallace model in Ningxia, Northwest China

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Abstract

Evapotransipiration (ET) is a key parameter of crop water requirement calculation and irrigation system optimization; in particular, it is important to accurately estimate soil water dynamics. In this study, the ET of Lycium barbarum was simulated based on the Shuttleworth-Wallace (SW) model by the canopy parameters obtained in 2014 and 2015 with field experiments. The results showed that the daily ET of the high irrigation quota treatment was largest, and the ET values of the low irrigation quota and medium irrigation quota treatment were approximately equal. When the summer fruit flowering period began, the daily ET was higher than 3 mm, showing a significant increasing characteristic, and peaking when the summer fruit reached the full productive age, and the daily ET values of the high irrigation quota and medium irrigation quota treatments were above 4 mm. The leaf area index (LAI) had a significant effect on daily ET; from the beginning of autumn fruit flowering, the daily ET had a declining tendency. The simulation indicated that the precision increased with increasing time series, the simulation precision was highest in the summer fruit period, and the measured and simulated values of daily ET were 4.3 mm/day in 2014 and 2.7 mm/day and 2.8 mm/day in 2015. The difference in the simulation was largest in the fall fruit period. The precision of the simulation decreased with increasing irrigation quota. The SW model was efficient in simulating Lycium barbarum ET, and the model was reliable in simulating the ET of each growth stage or that of the whole growth period of Lycium barbarum under drip irrigation. The study results provide valuable calculation methods for accurately estimating Lycium barbarum ET in the arid and semiarid regions of Ningxia, Northwest China.

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Data availability

The datasets used and/or analyzed during the current study available from the corresponding author on reasonable request.

References

  • Bao YZ, Duan LM, Tong X, Liu TG, Wang GL, Zhang L, Singh VP (2020) Simulation and partition evapotranspiration for the representative landform-soil-vegetation formations in Horqin Sandy Land, China. Theor Appl Climatol 140:1221–1232. https://doi.org/10.1007/s00704-020-03165-9

    Article  Google Scholar 

  • Cannavo P, Ali HB, Chantoiseau E, Migeon C, Charpentier S, Bournet PE (2016) Stomatal resistance of New Guinea Impatiens pot plants. Part 2: Model extension for water restriction and application to irrigation scheduling. Biosyst Eng 149:82-63

  • Choudhury BJ, Monteith JL (1988) A four-layer model for the heat budget of homogeneous land surfaces[J]. Q J R Meteorol Soc 114(480):373–398

    Google Scholar 

  • de Wit CT (1965) Photosynthesis of leaf canopies, Agric. Res.Report, 663 pp. Chap.4, p.11, Wageningen

  • Deng Y, Gou X, Gao L, Yang M, Zhang F (2017) Spatiotemporal drought variability of the eastern Tibetan Plateau during the last millennium. Clim Dyn 49(5–6):2077–2091

    Google Scholar 

  • Dolman AA (1993) Multiple-source land surface energy balance model for use in general circulation models. Agric for Meteorol 65(1):21–45

    Google Scholar 

  • Evett SR, Kustas WP, Gowda PH, Anderson MC, Prueger JH, Howell TA (2012) Overview of the Bushland Evapotranspiration and Agricultural Remote sensing Experiment 2008 (BEAREX08): a field experiment evaluating methods for quantifying ET at multiple scales. Adv Water Resour 50:4–19

    Google Scholar 

  • Fang Z, Gong CL, Revell A, Connor JO (2022) Fluid-structure interaction of a vegetation canopy in the mixing layer. J Fluids Struct 109:103467

    Google Scholar 

  • Farooq TH, Yan WD, Chen XY, Shakoor A, Rashid MHU, Gilani MM, He ZM, Wu PF (2020) Dynamics of canopy development of Cunninghamia lanceolata mid-age plantation in relation to foliar nitrogen and soil quality influenced by stand density. Global Ecol Conserv 24:e012092

    Google Scholar 

  • Fisher JB, Kevin P, Tu DD (2008) Global estimates of the land-atmosphere water flux based on monthly AVHRR and ISLSCP-II data validated at 16 FLUXNET sites. Remote Sens Environ 112:901–919

    Google Scholar 

  • Fuchs M (1990) Infrared measurement of canopy temperature and detection of plant water stress. Theor Appl Climatol 42:253–261. https://doi.org/10.1007/BF00865986

    Article  Google Scholar 

  • Gao GL, Zhang XY, Yu TF et al (2016) Calculation methods of resistances of the Shuttleworth-Wallace model. J Glaciol Geocryol 38(1):170–177

    Google Scholar 

  • Gardiol JM, Serio LA, Della MAI (2003) Modelling evapotranspiration of corn (Zea mays) under different plant densities. J Hydrol 271(1):188–196

    Google Scholar 

  • Ge ZM, Zhou X, Kellomäki S, Peltola H, Wang KY (2011) Climate, canopy conductance and leaf area development controls on evapotranspiration in a boreal coniferous forest over a 10-year period: a united model assessment. Ecol Model 222:1626–1638

    Google Scholar 

  • Hanes JM, Schwartz MD (2011) Modeling land surface phenology in a mixed temperate forest using MODIS measurements of leaf area index and land surface temperature. Theor Appl Climatol 105:37–50. https://doi.org/10.1007/s00704-010-0374-8

    Article  Google Scholar 

  • Immerzeel WW, van Beek LPH, Bierkens MFP (2010) Climate change will affect the Asian water towers. Science 328:1382–1385

    Google Scholar 

  • Iritz Z, Lindroth A, Heikinheimo M, Grellea A, Kellnerc E (1999) Test of a modified Shuttleworth-Wallace estimate of boreal forest evaporation. Agric For Meteorol 98–99:605–619

    Google Scholar 

  • Karlsson IM (2000) Nocturnal air temperature variations between forest and open areas. J Appl Meteorol 39(6):851–862

    Google Scholar 

  • Kool D, Agam N, Lazarovitch N, Heitmanc JL, Sauer TJ, Ben-Gal A (2014) A review of approaches for evapotranspiration partitioning. Agric For Meteorol 184:56–70

    Google Scholar 

  • Liu XY, Xu JZ, Wang WG, Lv YP, Li YW (2020) Modeling rice evapotranspiration under water-saving irrigation condition: Improved canopy-resistance-based. J Hydrol 590:125435

    Google Scholar 

  • Ma LX, Zheng G, Eitel JUH, Magney TS, Moskal LM (2017) Retrieving forest canopy extinction coefficient from terrestrial and airborne lidar. Agric for Meteorol 236:1–21

    Google Scholar 

  • Mi N, Yu GR, Wang PX, Wen XF, Sun XM, Zhang LM, Song X, Wang SS (2007) Modeling seasonal variation of CO2 flux in a subtropical coniferous forest using the EALCO model. J Plant Ecol 31(6):1119–1131

    Google Scholar 

  • Monteith JL (1965) Evaporation and environment. Symp Soc Exp Biol 19:205–234

    Google Scholar 

  • Na XF, Zheng GQ, Xing ZC, Ma J, Li Z, Lu J, Ma F (2017) Effects of monocropping on diversity and structure of the bacterial community in rhizosphere of replanted Lycium barbarum L. Acta Pedol Sin 54:1280–1292

    Google Scholar 

  • Na XF, Ma SL, Ma CX, Liu ZY, Xu PX, Zhu HB, Liang WY, Kardol P (2021) Lycium barbarum L. (goji berry) monocropping causes microbial diversity loss and induces Fusarium spp. enrichment at distinct soil layers. Appl Soil Ecol 168:104107, 1–10

  • Ortega FS, Carrasco M, Olioso A, Acevedo C, Poblete C (2007) Latent heat flux over Cabernet Sauvignon vineyard using the Shuttleworth and Wallace model. Irrig Sci 25(2):161–170

    Google Scholar 

  • Ouyang Z, Tian JC, Yan XF, Shen H (2021) Effects of different concentrations of dissolved oxygen on the growth, photosynthesis, yield and quality of greenhouse tomatoes and changes in soil microorganisms. Agric Water Manag 245:106579

    Google Scholar 

  • Pokhrel Y, Felfelani F, Satoh Y, Boulange J, Burek P, Gädeke A, Gerten D, Gosling SN, Grillakis M, Gudmundsson L, Hanasaki N, Kim H, Koutroulis A, Liu JG, Papadimitriou L, Schewe J, Schmied HM, Stacke T, Telteu CE, Thiery W, Veldkamp T, Zhao F, Wada Y (2021) Global terrestrial water storage and drought severity under climate change. Nat Clim Change 11:226–233

    Google Scholar 

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

    Google Scholar 

  • Sánchez JM, López-Urre R, Valentín F, Caselles V, Galve JM (2019) Lysimeter assessment of the Simplified Two-Source Energy Balance model and eddy covariance system to estimate vineyard evapotranspiration. Agric for Meteorol 274:172–183

    Google Scholar 

  • Shen ZX, Zhang Q, Singh VP, Pokhrel Y, Li JP, Xu CY, Wu WH (2022) Drying in the low-latitude Atlantic Ocean contributed to terrestrial water storage depletion across Eurasia. Nat Commun 13:1849

    Google Scholar 

  • Shi YF, Wang ZY, Hou C, Zhang PH (2022) Yield estimation of Lycium barbarum L. based on the WOFOST model. Ecol Model 473:110146

    Google Scholar 

  • Shuttleworth WJ, Gurney RJ (1990) The theoretical relationship between foliage temperature and canopy resistance in sparse crops. Q J R Meteorol Soc 116(492):497–519

    Google Scholar 

  • Shuttleworth WJ, Wallace JS (1985) Evaporation from sparse crops-an energy combination theory. Q J R Meteorol Soc 111(469):839–855

    Google Scholar 

  • Song YY, Xue DQ, Ma BB, Xia SY, Ye H (2023) Farming in arid areas depletes China’s water. Science 379:651–651. https://doi.org/10.1126/science.adg4780

    Article  Google Scholar 

  • Stannard DI (1993) Comparison of Penman-Monteith, Shuttleworth-Wallace, and modified Priestley-Taylor evapotranspiration models for wildland vegetation in semiarid rangeland. Water Resour Res 29(5):1379–1392

    Google Scholar 

  • Su Z (2002) The surface energy balance system (SEBS)for estimation of turbulence heat fluxes. Hydrol Earth Syst Sci 6:85–99

    Google Scholar 

  • Sun SF (1982) Moisture and heat transport in a soil layer forced by atmospheric conditions. University of Connecticut, USA

    Google Scholar 

  • Tuzet A, Perrier A, Leuning RA (2003) Coupled model of stomatal conductance, photosynthesis and transpiration. Plant, Cell Environ 26(7):1097–1116

    Google Scholar 

  • Utsugi H, Araki M, Kawasaki T, Ishizuka M (2006) Vertical distributions of leaf area and inclination angle, and their ‘relationship in a 46-year-old Chamaecyparis obtusa stand Hajime. For Ecol Manage 225:104–112

    Google Scholar 

  • Wang YP, Jarvis PG (1990) Influence of crow n structural properties on PAR absorption, photosynthesis, and transpiration in sitkaspruce: application of a model (MAEST RO). Tree Physiol 7:297–316

    Google Scholar 

  • Xiong W, Holman I, Conway D, Lin ED, Li Y (2008) A crop model cross calibration for use in regional climate impacts studies. Ecol Model 213(3/4):365–380

    Google Scholar 

  • Xu JZ, Liu XY, Yang SH, Qi ZM, Wang YJ (2017) Modeling rice evapotranspiration under water-saving irrigation by calibrating canopy resistance model parameters in the Penman-Monteith equation. Agric Water Manag 182:55–66

    Google Scholar 

  • Xu M, Kang SC, Wang XM, Pepin N, Wu H (2019) Understanding changes in the water budget driven by climate change in cryospheric-dominated watershed of the northeast Tibetan Plateau. China Hydrol Process 33(7):1040–1058

    Google Scholar 

  • Yang JY, Huffman ECT (2004) EasyGrapher: software for graphical and statistical validation of DSSAT outputs. Comput Electron Agric 45(1):125–132

    Google Scholar 

  • Yaseef NR, Yakir D, Rotenberg E, Schiller G, Cohen S (2010) Ecohydrology of a semi-arid forest: partitioning among water balance components and its implications for predicted precipitation changes. Ecohydrology 3(2):143–154

    Google Scholar 

  • Zhang XC, Lu CG, Hu N, Yao KM, Zhang QJ, Dai QG (2013) Simulation of canopy leaf inclination angle in rice. Rice Sci 20(6):434–441

    Google Scholar 

  • Zhang Q, Shen Z, Pokhrel Y, Farinotti D, Singh VP, Xu CY, Wu WH, Wang G (2023) Oceanic climate changes threaten the sustainability of Asia’s water tower. Nature 615:87–93. https://doi.org/10.1038/s41586-022-05643-8

    Article  Google Scholar 

  • Zhao P, Li SE, Li FS, Du TS, Tong L, Kang SZ (2015) Comparison of dual crop coefficient method and Shuttleworth-Wallace model in evapotranspiration partitioning in a vineyard of northwest China. Agric Water Manag 160:41–56

    Google Scholar 

  • Zhou YQ, Gao XD, Wang JX, Robinson BH, Zhao XN (2021) Water-use patterns of Chinese wolfberry (Lycium barbarum L.) on the Tibetan Plateau. Agric Water Manage. 255:107010, 1–11

  • Zhu GF, Su YH, Li X, Zhang K, Li CB (2013) Estimating actual evapotranspiration from an alpine grassland on Qinghai-Tibetan Plateau using a two-source model and parameter uncertainly analysis by Bayesian approach. J Hydrol 476:42–51

    Google Scholar 

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Funding

This work was funded by Ningxia Hui Autonomous Region Key Research and Development Plan General Project (2019BEH03010), the Natural Science Foundation of Ningxia Hui Autonomous Region (2022AAC02018), and Ningxia Hui Autonomous Region Colleges and Universities First-Class Subject Construction Project (Water Conservancy Engineering) (NXYLXK2021A03).

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Authors and Affiliations

  1. School of Civil and Hydraulic Engineering, Ningxia University, Yinchuan, Ningxia, 750021, China

    Bo Ma & Jinyu He

  2. Engineering Technology Research Center of Water-Saving and Water Resource Regulation in Ningxia, Yinchuan, Ningxia, 750021, China

    Bo Ma & Jinyu He

  3. Engineering Research Center for Efficient Utilization of Modern Agricultural Water Resources in Arid Regions, Ministry of Education, Yinchuan, Ningxia, 750021, China

    Bo Ma & Jinyu He

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  1. Bo Ma
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All authors contributed to the study conception and design. Bo Ma wrote the main manuscript text and Jinyu He prepared Figs. 3, 4, and 5. All authors reviewed the manuscript.

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Correspondence to Bo Ma.

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Ma, B., He, J. Modeling the evapotranspiration of Lycium barbarum with drip irrigation based on the shuttleworth-wallace model in Ningxia, Northwest China. Theor Appl Climatol 153, 1257–1271 (2023). https://doi.org/10.1007/s00704-023-04520-2

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