Abstract
To quantify lake evaporation and its variations in time, ten methods for estimating evaporation at a temporal resolution of 10 days over a small high-elevation lake in the Nam Co lake basin of the Tibetan Plateau (TP) were evaluated by using eddy covariance (EC) observation-based reference datasets. After examination of the consistency of the parameters used in the different methods, the ranking of the methods under different conditions are shown to be inconsistent. The Bowen ratios derived from meteorological data and EC observations are consistent, and it supports a ranking of energy-budget-based methods (including the Bowen ratio energy budget, Penman, Priestley-Taylor, Brutsaert-Stricker and DeBruin-Keijman methods) as the best when heat storage in the water can be estimated accurately. The elevation-dependent psychometric constant can explain the differences between the Priestley-Taylor and DeBruin-Keijman methods. The Dalton-type methods (Dalton and Ryan-Harleman methods) and radiation-based method (Jensen-Haise) all improve significantly after parameter optimization, with better performance by the former than the latter. The deBruin method yields the largest error due to the poor relationship between evaporation and the drying power of the air. The good performance of the Makkink method, with no significant differences before and after optimization, indicates the importance of solar radiation and air temperature in estimation of lake evaporation. The Makkink method was used for long-term evaporation estimation due to lack of water temperature observations in lakes on the TP. Lastly, long-term evaporation during the open-water period (April 6 to November 15 from 1979 to 2015) were obtained; the mean bias was only 6%. A decreasing-increasing trend in lake evaporation with a turning point in 2004 was noted, and this trend corresponds to the published decreasing-increasing trend in reference evapotranspiration on the Tibetan Plateau and can be explained by variations in related meteorological variables.
Similar content being viewed by others
References
Allen RG, Pereira LS, Raes D, Smith M (1998) Crop evapotranspiration—guidelines for computing crop water requirements—FAO irrigation and drainage paper 56. Food and Agriculture Organization of the United Nations, Rome ISBN 92-5-104219-5
Assouline S, Tyler SW, Tanny J, Cohen S, Bou-Zeid E, Parlange MB, Katul GG (2008) Evaporation from three water bodies of different sizes and climates: measurements and scaling analysis. Adv Water Resour 31(1):160–172. https://doi.org/10.1016/j.advwatres.2007.07.003
Biermann T, Babel W, Ma W, Chen X, Thiem E, Ma Y, Foken T (2013) Turbulent flux observations and modelling over a shallow lake and a wet grassland in the Nam Co basin, Tibetan Plateau. Theor Appl Climatol 116:301–316. https://doi.org/10.1007/s00704-013-0953-6
Biskop S, Maussion F, Krause P, Fink M (2016) Differences in the water-balance components of four lakes in the southern-central Tibetan Plateau. Hydrol Earth Syst Sci 20(1):209–225. https://doi.org/10.5194/hess-20-209-2016
Bowen IS (1926) The ratio of heat losses by conduction and by evaporation from any water surface. Phys Rev 27(6):779–787
Bruin HARD, Keijman JQ (1979) The Priestley-Taylor evaporation model applied to a large, shallow lake in the Netherlands. J Appl Meteorol 18(7):898–903. https://doi.org/10.1175/1520-0450(1979)018<0898:TPTEMA>2.0.CO;2
Brutsaert W (1982) Evaporation into the atmosphere: theory, history, and applications. D.Reidel, Dordrecht
Brutsaert W, Stricker H (1979) An advection-aridity approach to estimate actual regional evapotranspiration. Water Resour Res 15(2):443–450. https://doi.org/10.1029/WR015i002p00443
Dalton J (1802) Experimental essays on the constitution of mixes gases: on the force of steam or vapor from water or other liquids in different temperatures, both in a Torricelli vacuum and in air; on evaporation; and on expansion of gases by heat, Manchester Lit. Phil Soc Mem Proc 5:536–602
De Bruin HAR (1978) A simple model for shallow lake evaporation. J Appl Meteorol 17:1132–1134
Downing JA, Prairie YT, Cole JJ, Duarte CM, Tranvik LJ, Striegl RG, McDowell WH, Kortelainen P, Caraco NF, Melack JM, Middelburg JJ (2006) The global abundance and size distribution of lakes, ponds, and impoundments. Limnol Oceanogr 51(5):2388–2397. https://doi.org/10.4319/lo.2006.51.5.2388
Drexler JZ, Snyder RL, Spano D, Paw U KT (2004) A review of models and micrometeorological methods used to estimate wetland evapotranspiration. Hydrol Process 18(11):2071–2101. https://doi.org/10.1002/hyp.1462
Duan Z, Bastiaanssen WGM (2015) A new empirical procedure for estimating intra-annual heat storage changes in lakes and reservoirs: review and analysis of 22 lakes. Remote Sens Environ 156:143–156. https://doi.org/10.1016/j.rse.2014.09.009
Finch J, A Calver (2008) Methods for the quantification of evaporation from lakes, for the World Meteorological Organization’s Commission for Hydrology, 1-41
Haginoya S, Fujii H, Kuwagata T, Xu J, Ishigooka Y, Kang S, Zhang Y (2009) Air-lake interaction features found in heat and water exchanges over Nam Co on the Tibetan Plateau. Sci Online Lett Atmos 5:172–175. https://doi.org/10.2151/sola.2009-044
He J, K Yang (2011) China meteorological forcing dataset. Cold and arid regions science data center, Lanzhou, China, https://doi.org/10.392/westdc.002.2014.db
Hicks BB, Hess GD (1977) On the Bowen ratio and surface temperature at sea. J Phys Oceanogr 7(1):141–145. https://doi.org/10.1175/1520-0485(1977)007<0141:OTBRAS>2.0.CO;2
Hobbins MT, Ramirez JA, Brown TC (2004) Trends in pan evaporation and actual evapotranspiration across the conterminous US: paradoxical or complementary? Geophys Res Lett 31L13503(13):L13503. https://doi.org/10.1029/2004GL019846
Lazhu K, Yang J, Wang Y, Lei Y, Chen L, Zhu BD, Qin J (2016) Quantifying evaporation and its decadal change for Lake Nam Co, central Tibetan Plateau. J Geophys Res Atmos 121(13):7578–7591. https://doi.org/10.1002/2015JD024523
Lei Y, Yao T, Bird BW, Yang K, Zhai J, Sheng Y (2013) Coherent lake growth on the central Tibetan Plateau since the 1970s: characterization and attribution. J Hydrol 483:61–67. https://doi.org/10.1016/j.jhydrol.2013.01.003
Li Z, Lyu S, Ao Y, Wen L, Zhao L, Wang S (2015) Long-term energy flux and radiation balance observations over Lake Ngoring, Tibetan Plateau. Atmos Res 155:13–25. https://doi.org/10.1016/j.atmosres.2014.11.019
Liu B, M Xu, M Henderson, W Gong (2004) A spatial analysis of pan evaporation trends in China, 1955–2000. J Geophys Res Atmos 109(D15), n/a-n/a, 123 https://doi.org/10.1029/2004JD004511
Liu HZ, Feng JW, Sun JH, Wang L, Xu AL (2014) Eddy covariance measurements of water vapor and CO2 fluxes above the Erhai lake. Sci China Earth Sci 44:2527–2539. https://doi.org/10.1007/s11430-014-4828-1
Ma Y, Wang Y, Wu R, Hu Z, Yang K, Li M, Ma W, Zhong L, Sun F, Chen X, Zhu Z, Wang S, Ishikawa H (2009) Recent advances on the study of atmosphere-land interaction observations on the Tibetan Plateau. Hydrol Earth Syst Sci 13(7):1103–1111. https://doi.org/10.5194/hess-13-1103-2009
Ma N, Szilagyi J, Niu G-Y, Zhang Y, Zhang T, Wang B, Wu Y (2016) Evaporation variability of Nam Co Lake in the Tibetan Plateau and its role in recent rapid lake expansion. J Hydrol 537:27–35. https://doi.org/10.1016/j.jhydrol.2016.03.030
McGuinness JL, EF Bordne (1972) A comparison of lysimeter-derived potential evapotranspiration with computed values, Tech Bull, 1452, 71 pp., Afric. Res. Serv., U.S. Dept. of Agric., Washing-ton, D.C
Oswald CJ, Rouse WR (2004) Thermal characteristics and energy balance of various-size Canadian shield lakes in the Mackenzie River basin. J Hydrometeorol 5(1):129–144. https://doi.org/10.1175/1525-7541(2004)005<0129:TCAEBO>2.0.CO;2
Panin GN, Nasonov AE, Foken T, Lohse H (2006) On the parametersisaton of evaporation and sensible heat exchange for shallow lakes. Theor Appl Climatol 85(3–4):123–129. https://doi.org/10.1007/s00704-005-0185-5
Penman HL (1948) Natural evaporation from open water, bare soil and grass. Proc R Soc London Ser A Math Phys Sci 193(1032):120–145. https://doi.org/10.1098/rspa.1948.0037
Priestley CHB, Taylor RJ (1972) On the assessment of surface heat flux and evaporation using large-scale parameters. Mon Weather Rev 100(2):81–92. https://doi.org/10.1175/1520-0493(1972)100<0081:otaosh>2.3.co;2
Rosenberry DO, Winter TC, Buso DC, Likens GE (2007) Comparison of 15 evaporation methods applied to a small mountain lake in the northeastern USA. J Hydrol 340(3–4):149–166. https://doi.org/10.1016/j.jhydrol.2007.03.018
Singh VP, Xu C-Y (1997) Evaluation and generalization of 13 mass-transfer equations for determining free water evaporation. Hydrol Process 11:311–323. https://doi.org/10.1002/(SICI)1099-1085(19970315)11:3<311::AID-HYP446>3.0.CO;2-Y
Szilagyi J (2008) Comment on “comparison of 15 evaporation models applied to a small mountain lake in the northeastern USA” by D.O. Rosenberry, T.C. Winter, D.C. Buso, and G.E. Likens [J. Hydrol. 340 (3-4)(2007) 149-166]. J Hydrol 348:564–565
Wang W, Xing W, Shao Q, Yu Z, Peng S, Yang T, Yong B, Taylor J, Singh VP (2013) Changes in reference evapotranspiration across the Tibetan Plateau: observations and future projections based on statistical downscaling. J Geophys Res Atmos 118(10):4049–4068. https://doi.org/10.1002/jgrd.50393
Wang B, Ma Y, Chen X, Ma W, Su Z, Menenti M (2015) Observation and simulation of lake-air heat and water transfer processes in a high-altitude shallow lake on the Tibetan Plateau. J Geophys Res Atmos 120(24):12327–12344. https://doi.org/10.1002/2015JD023863
Wang B, Ma Y, Ma W, Su Z (2017) Physical controls on half-hourly, daily and monthly turbulent flux and energy budget over a high-altitude small lake on the Tibetan plateau. J Geophys Res Atmos 122:2289–2303. https://doi.org/10.1002/2016JD026109
Wen L, Lyu S, Kirillin G, Li Z, Zhao L (2016), Air-lake boundary layer and performance of a simple lake parameterization scheme over the Tibetan highlands, 2016, https://doi.org/10.3402/tellusa.v68.31091
Winter TC, Rosenberry DO, Sturrock AM (1995) Evaluation of 11 equations for determining evaporation for a small lake in the North Central United States. Water Resour Res 31(4):983–993. https://doi.org/10.1029/94wr02537
Xing W, Wang W, Shao Q, Yu Z, Yang T, Fu J (2016) Periodic fluctuation of reference evapotranspiration during the past five decades: does evaporation paradox really exist in China? Sci Rep 6:39503. https://doi.org/10.1038/srep39503 http://www.nature.com/articles/srep39503#supplementary-information
Xu CY, Singh VP (2001) Evaluation and generalization of temperature-based methods for calculating evaporation. Hydrol Process 15(2):305–319. https://doi.org/10.1002/hyp.119
Xu CY, Gong L, Jiang T, Chen D, Singh VP (2006), Analysis of spatial distribution and temporal trend of reference evapotranspiration and pan evaporation in Changjiang (Yangtze River) catchment. J Hydrol, 327(1):81–93. https://doi.org/10.1016/j.jhydrol.2005.11.029
Xu J, Yu S, Liu J, Haginoya S, Ishigooka Y, Kuwagata T, Hara M, Yasunari T (2009) The implication of heat and water balance changes in a lake basin on the Tibetan Plateau. Hydrol Res Lett 3:1–5
Yang K, Wu H, Qin J, Lin C, Tang W, Chen Y (2014) Recent climate changes over the Tibetan Plateau and their impacts on energy and water cycle: a review. Glob Planet Chang 112:79–91. https://doi.org/10.1016/j.gloplacha.2013.12.001
Yao HX (2009) Long-term study of lake evaporation and evaluation of seven estimation methods: results from Dickie Lake, South-Central Ontario, Canada. J Water Resour Prot 01(2):59–77
Yao T, Wang Y, Liu S, Pu J, Shen Y, Lu A (2004) Recent glacial retreat in High Asia in China and its impact on water resource in Northwest China. Sci China Ser D Earth Sci 47(12):1065. https://doi.org/10.1360/03yd0256
Yu S, Liu J, Xu J, Wang H (2011) Evaporation and energy balance estimates over a large inland lake in the Tibet-Himalaya. Environ Earth Sci 64(4):1169–1176
Zhang G, Xie H, Kang S, Yi D, Ackley SF (2011) Monitoring lake level changes on the Tibetan Plateau using ICESat altimetry data (2003–2009). Remote Sens Environ 115(7):1733–1742. https://doi.org/10.1016/j.rse.2011.03.005
Zhang G, Yao T, Xie H, Zhang K, Zhu F (2014) Lakes’ state and abundance across the Tibetan Plateau. Chin Sci Bull 59(24):3010–3021. https://doi.org/10.1007/s11434-014-0258-x
Zhou S, Kang S, Chen F, Joswiak DR (2013) Water balance observations reveal signigicant subsurface water seepage from Lake Nam Co, south-central Tibetan Plateau. J Hydrol. https://doi.org/10.1016/j.jhydrol.2013.03.030
Zhu L, Xie M, Wu Y (2010) Quantitative analysis of lake area variations and the influence factors from 1971 to 2004 in the Nam Co basin of the Tibetan Plateau. Chin Sci Bull 55(13):1294–1303. https://doi.org/10.1007/s11434-010-0015-8
Acknowledgements
The authors would like to thank colleagues from the Nam Co station, Institute of Tibetan Plateau Research, Chinese Academy of Sciences, for providing the lake-level change data from Nam Co Lake. We would also like to thank the anonymous referees and the editor for their constructive comments and suggestions.
Funding
This research has been funded by the Strategic Priority Research Program of Chinese Academy of Sciences (XDA20060101), the Chinese Academy of Sciences (QYZDJ-SSW-DQC019), the National Natural Science Foundation of China (41375009, 41661144043, 41522501, 41705005, 91637312), the China Postdoctoral Science Foundation, the “Hundred Talent Program” (Weiqiang Ma), and the ESA MOST Dragon IV programme (Monitoring Water and Energy Cycles at Climate Scale in the Third Pole Environment (CLIMATE-TPE)).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, B., Ma, Y., Ma, W. et al. Evaluation of ten methods for estimating evaporation in a small high-elevation lake on the Tibetan Plateau. Theor Appl Climatol 136, 1033–1045 (2019). https://doi.org/10.1007/s00704-018-2539-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00704-018-2539-9