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Runoff simulations using water and energy balance equations in the lower reaches of the Heihe River, northwest China

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Abstract

Methods for reconstruction of river runoff have been an important component of paleo-climatology and paleo-hydrology. The lower Heihe River was studied from 2002 to 2008 to reconstruct the annual average runoff at the Zhengyi Gorges hydrological station using measured data and improved water and energy balance equations. The results indicate that the reconstructed annual runoff and the measured runoff values are not equivalent. However, the difference between reconstructed and measured runoff values is within 10 %, which suggests that water and energy balance models can successfully reconstruct runoff from rivers in arid regions. Regional differences imply that parameters must be corrected when applying water and energy balance equations to prevent large errors. In addition, the latent heat of evaporation in arid lakes is greater than their net radiation, according to latent and sensible heat calculations, which demonstrates the existence of the “cold island effect”.

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References

  • Bergonzini L, Chalié F, Gasse F (1997) Paleoevaporation and paleoprecipitation in the Tanganyika Basin at 18,000 Years B.P. Inferred from hydrologic and vegetation proxies. Quat Res 47:295–305

    Article  Google Scholar 

  • Berliand ME, Berliand TG (1952) Determining the net long-wave radiation of the Earth with consideration of the effect of cloudiness. Izv. Akad. Nauk SSSR Ser. Geofiz. No. 1

  • Budyko MI (1974) Climate and life. In: International Geophysics Series, vol 18. Academic Press, New York, pp 58–59

  • Chalise SR, Kansakar SR, Rees G, Croker K, Zaidman M (2003) Management of water resources and low flow estimation for the Himalayan basins of Nepal. J Hydrol 282:25–35

    Article  Google Scholar 

  • Chen X (2010) Chinese physical geography in arid region. Science Press, Beijing, pp 286–287 (in Chinese)

    Google Scholar 

  • Chen L, Qu Y (1992) Water and land resources and their rational development and utilization in the Hexi Region. Science Press, Beijing, pp 3–9 (in Chinese)

    Google Scholar 

  • Chen RS, Kang ES, Yang JP, Zhang JS (2002) Nonlinear features of the runoff from mountain areas of the Heihe River, Qilian Mountains. J Gliciol Geocryol 24:292–298 (in Chinese with English abstract)

    Google Scholar 

  • Cheng GD, Xiao HL, Chen YN (2010) Ecology-hydrology research in typical continental river, west China. Science Press, Beijing, pp 206–207 (in Chinese)

    Google Scholar 

  • Ding R, Wang FC, Wang J, Liang JN (2009) Analysis on spatial-temporal characteristics of precipitation in Heihe River Basin and forecast evaluation in recent 47 years. J Desert Res 29:335–341 (in Chinese with English abstract)

    Google Scholar 

  • Dong CY, Wang NA, Li ZL, Yang P (2009) Forecast of lake level in Lake Qinghai based on energy-water balance model. J Lake Sci 21:587–593 (in Chinese with English abstract)

    Google Scholar 

  • Efimova NA (1961) On methods of calculating monthly values of net long-wave radiation. Meteorol Gidrol 10:28–33

    Google Scholar 

  • Feng Q, Liu W, Su YH, Zhang YW, Si JH (2004) Distribution and evolution of water chemistry in Heihe River basin. Environ Geol 45:947–956

    Article  Google Scholar 

  • Ge XG, Xue B, Wan L, Hu FS (2009) Modelling of lagging response of NDVI in Ejina Oasis to runoff in the lower reaches of Heihe River. Sci Geograhica Sinica 29:900–904 (in Chinese with English abstract)

    Google Scholar 

  • Gong JD, Cheng GD, Zhang XY, Xiao HL, Li XY (2002) Environmental changes of Ejina Region in the lower reaches of Heihe River. Adv Earth Sci 17:491–496 (in Chinese with English abstract)

    Google Scholar 

  • Guo XY, Chen FH, Shi Q (2000) The application of GIS and water and energy budget to the study on the water rebuilding of Paleo-lake—a case in Shiyang River drainage. Scientia Geograhica Sinica 20:422–426 (in Chinese with English abstract)

    Google Scholar 

  • Guo N, Zhang J, Liang Y (2003) Climate change indicated by the recent change of inland lakes in northwest China. J Gliciol Geocryol 25:211–214 (in Chinese with English abstract)

    Google Scholar 

  • Harrison SP (1993) Late Quaternary lake-level changes and climates of Australia. Quat Sci Rev 12:211–232

    Article  Google Scholar 

  • Hastenrath S, Kutzbach JE (1983) Paleoclimatic estimates from water and energy budgets of East African Lakes. Quat Res 19:141–153

    Article  Google Scholar 

  • Hastenrath S, Kutzbach JE (1985) Late Pleistocene climate and water budget of the south American Altiplano. Quat Res 24:249–256

    Article  Google Scholar 

  • Hu RJ, Yang CD, Ma H, Jiang FQ, Urkunbek (1994) Glaciers and lakes in the Tianshan Mountains and climate trends. Arid Land Geogr 17:1–7 (in Chinese with English abstract)

    Google Scholar 

  • Hu G, Wang NA, Zhao Q, Cheng HY, Chen YS, Guo JY (2003) Water balance of Huahai Lake Basin during a special phase. J Gliciol Geocryol 25:485–490 (in Chinese with English abstract)

    Google Scholar 

  • Jia YL, Shi YF, Fan YQ (2000) Water balance of paleolake Qinghai and its precipitation estimation at three high lake-level stages since 40 ka BP. J Lake Sci 12:211–218 (in Chinese with English abstract)

    Google Scholar 

  • Jia YL, Shi YF, Cao JT, Fan YC (2001a) The precipitation of the interior lakes in the southwestern Tibetan Plateau at 40~30 ka BP. Adv Earth Sci 16:346–351(in Chinese with English abstract)

    Google Scholar 

  • Jia YL, Shi YF, Fan YQ (2001b) A method on determining the parameters of the hydrological and energy-balance model and its use: a case study of Qinghai Lake at Holocene megathermal. Adv Water Sci 12:324–330 (in Chinese with English abstract)

    Google Scholar 

  • Jia YL, Ma CM, Zhu C, Wei L, Wang PL (2004) Past, present and future of estimates of paleoprecipitation in closed lake basin. Scientia Geograhica Sinica 24:376–383 (in Chinese with English abstract)

    Google Scholar 

  • Jia WX, He YQ, Wang XF, Li ZX (2009) Temporal and spatial change of the potential evaporation over Qilian mountains and Hexi corridor from 1960 to 2006. Adv Water Sci 20:159–167 (in Chinese with English abstract)

    Google Scholar 

  • Kou YG, Zeng JZ, Xie WR, Xiao S (1981) Investigation of radiation on Qinghai-Xizang Plateau and its neighbouring districts and the relation between radiation and permafrost on it. J Gliciol Geocryol 3:25–31 (in Chinese with English abstract)

    Google Scholar 

  • Kutzbach JE (1980) Estimates of past climate at Paleolake Chad, North Africa, based on a hydrological and energy-balance model. Quat Res 14:47–82

    Google Scholar 

  • Lan YC, Ding YJ, Kang ES (2004) Variations and trends of temperature and precipitation in the mountain drainage basin of the Heihe River in recent 50 years. Plateau Meteorol 23:723–727 (in Chinese with English abstract)

    Google Scholar 

  • Lan YC, Ding YJ, Liu JQ, Kang ES, Wei Z (2005) Change of water resources in mountainous area of Heihe River under global-warming scene. J Desert Res 25:863–868 (in Chinese with English abstract)

    Google Scholar 

  • Li DL, Liu HL (2004) Responding of Heihe river runoff to decadal climate change in Qilian mountain area. J Desert Res 24:385–391 (in Chinese with English abstract)

    Google Scholar 

  • Li Y, Morrill C (2010) Multiple factors causing Holocene lake-level change in monsoonal and arid central Asia as identified by model experiments. Clim Dyn 35:1119–1132

    Article  Google Scholar 

  • Li S, Nu G, Li Y, Gong J (1999) Sustainable development and rational utilization of water resources in the Hexi Corrridor Area. Environment Science Press, Beijing, pp 4–5, 14–36 (in Chinese)

  • Li S, Li F, Sun W, Li BS (2004) Modern desertification process in Ejina Oasis and its dynamic mechanism. Scientia Geograhica Sinica 24:61–67 (in Chinese with English abstract)

    Google Scholar 

  • Li CZ, Yu FL, Liu J (2009) Dynamic change of landscape and its driving forces in midstream of Heihe mainstream basin after water redistribution. Acta Ecol Sinica 29:5832–5842 (in Chinese with English abstract)

    Google Scholar 

  • Li XM, Lu L, Yang WF, Cheng GD (2012a) Estimation of evapotranspiration in an arid region by remote sensing—a case study in the middle reaches of the Heihe River Basin. Int J Appl Earth Obs Geoinf 17:85–93

    Article  Google Scholar 

  • Li ZL, Wang NA, Li Y, Lai TT, Lu JW (2012b) Variations of runoff in responding to climate change in mountainous areas of Heihe River during last 50 years. Bull Soil Water Conserv 32(2):7–16 (in Chinese with English abstract)

    Google Scholar 

  • Liu Y, Sun JY, Song HM, Cai QF, Bao GA, Li XX (2010) Tree-ring hydrologic reconstructions for the Heihe River watershed, western China since AD 1430. Water Res 44:2781–2792

    Article  Google Scholar 

  • Ma N, Wang NA, Li ZL, Chen XL, Zhu JF, Dong CY (2011) Analysis on climate change in the northern and southern marginal zones of the Badain Jaran Desert during the period 1960–2009. Arid Zone Res 28:242–250 (in Chinese with English abstract)

    Google Scholar 

  • Nie ZL, CHEN ZY, Cheng XX, Hao ML, Zhang GH (2005) The chemical information of the interaction of unconfined groundwater and surface water along the Heihe River, Northwestern China. J Jilin Univ (Earth Sci Ed) 35:48–53 (in Chinese with English abstract)

    Google Scholar 

  • Pederson N, Jacoby GC, D’Arrigo RD, Cook ER, Buckley BM, Dugarjav C, Mijiddorj R (2001) Hydrometeorological reconstructions for Northeastern Mongolia derived from tree rings: AD 1651–1995. J Clim 14:872–881

    Article  Google Scholar 

  • Polacek D, Kofler W, Oberhuber W (2006) Radial growth of Pinus sylvestris growing on alluvial terraces is sensitive to water-level fluctuations. New Phytol 169:299–308

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Qian YP, Wang L (2008) Isotope hydrology used in the hydrologic cycle during the Heihe river basin. The Yellow River Water Conservancy Press, Zhengzhou, pp 1–10 (in Chinese)

    Google Scholar 

  • Qin BQ (1997) Estimates of paleo-hydrological parameters and water balance of Qinghai Lake with energy-water balance model. Oceanologia Limnologia Sinica 28:611–616 (in Chinese with English abstract)

    Google Scholar 

  • Qin C, Yang B, Burchardt I, Hu X, Kang XC (2010) Intensified pluvial conditions during the twentieth century in the inland Heihe River Basin in arid northwestern China over the past millennium. Global Planet Change 72:192–200

    Article  Google Scholar 

  • Qin DJ, Qian YP, Han LF, Wang ZM, Li C, Zhao ZF (2011) Assessing impact of irrigation water on groundwater recharge and quality in arid environment using CFCs, tritium and stable isotopes, in the Zhangye Basin, Northwest China. J Hydrol 405:194–208

    Article  Google Scholar 

  • Qu YG (1994) Water balance and forecasting of water level change in Qinghai Lake. J Lake Sci 6:298–307 (in Chinese with English abstract)

    Google Scholar 

  • Rhode D, Ma HZ, Madsen DB, Brantingham PJ, Forman SL, Olsen JW (2010) Paleoenvironmental and archaeological investigations at Qinghai Lake, western China: geomorphic and chronometric evidence of lake level history. Quat Int 218:29–44

    Article  Google Scholar 

  • Schumm SA (1965) Quaternary paleohydrology. In: Wright HE, Frey DG (eds) The quaternary of the United States. Princeton University Press, Princeton, pp 783–794

    Google Scholar 

  • Schumm SA (1977) The fluvial system. John Wiley & Sons, New York, pp 27–48

    Google Scholar 

  • Sellers WD (1965) Physical climatology. University of Chicago Press, Chicago, pp 92–106

    Google Scholar 

  • Shen HY, Jia YL, Wei L (2005) Paleoprecipitation reconstruction during the interstadial of the Last Glacial (40–22 ka BP) in Huangqihai Lake, Inner Mongolia. Acta Sedimentol Sin 23:523–530 (in Chinese with English abstract)

    Google Scholar 

  • Shi YF (1990) Glacier recession and Lake Shrinkage indicating the cliamtic warming and drying trendin Central Asia. Acta Geogr Sin 45:1–11 (in Chinese with English abstract)

    Google Scholar 

  • Shi YF, Shen YP, Hu RJ (2002) Preliminary study on signal, impact and foreground of climatic shift from warm-dry to warm-humid in northwest China. J Gliciol Geocryol 24:219–224 (in Chinese with English abstract)

    Google Scholar 

  • Su CX, Hu YQ (1987) Oasis and lake Cold Island. Chinese Sci Bull 32:756–758 (in Chinese)

    Google Scholar 

  • Su YH, Feng Q, Zhu GF, Si JH, Zhang YW (2007) Identification and evolution of groundwater chemistry in the Ejin Sub-Basin of the Heihe River, Northwest China. Pedosphere 17:331–342

    Article  Google Scholar 

  • Swain AM, Kutzbach JE, Hastenrath S (1983) Estimates of Holocene precipitation for Rajasthan, India, based on pollen and lake-level data. Quat Res 19:1–17

    Article  Google Scholar 

  • Wang Z, Liu C, You G (1981) Glacier inventory of China I, Qilian Mountains, Lanzhou Institute of Glaciology and Geocryology, Academia Sinica, pp 59–119 (in Chinese)

  • Wang SG, Dong GR, Li XL, Jin J (2000) Advances in studying sand-dust storms of China. J Desert Res 20:349–356 (in Chinese with English abstract)

    Google Scholar 

  • Wang HY, Shi CY, Wang MH, Xie Q, Hao JM, Li L (2004) Inferences of the past annual runoff of the early and middle Holocene for Quzhou area, the southern Hebei Plain. Geogr Res 23:183–191 (in Chinese with English abstract)

    Google Scholar 

  • Wang H, Hu ZY, Li DL, Zhao YZ, Ma WQ (2009) Comparative of climatologic characteristics of the surface radiation balance on Dingxin Gobi and Zhangye Oasis and desert underlaying surfaces in Heihe Watershed, Gansu. J Gliciol Geocryol 31:464–473 (in Chinese with English abstract)

    Google Scholar 

  • Wang NA, Li ZL, Cheng HY, Li Yu, Huang YZ (2011) High lake levels on Alxa Plateau during the Late Quaternary. Chinese Sci Bull 56:1799–1808

  • Winkler MG, Swain AM, Kutzbach JE (1986) Middle Holocene dry period in the northern Midwestern United States: Lake Levels and pollen stratigraphy. Quat Res 25:235–250

    Article  Google Scholar 

  • Wu JL, Wang HD, Wang SM (1993) Paleoclimatic estimate during the last 10000 years in Ebinur Lake, Xinjiang. J Lake Sci 5:299–306 (in Chinese with English abstract)

    Google Scholar 

  • Wu Y, Wen X, Zhang Y (2004) Analysis of the exchange of groundwater and river water by using Radon-222 in the middle Heihe Basin of northwestern China. Environ Geol 45:647–653

    Article  Google Scholar 

  • Wu JK, Ding Y, Ye B, Yang Q, Zhang X, Wang J (2010a) Spatio-temporal variation of stable isotopes in precipitation in the Heihe River Basin, Northwestern China. Environ Earth Sci 61:1123–1134

    Article  Google Scholar 

  • Wu YQ, Zhang YH, Wen XH, Su JP (2010b) Hydrologic cycle and water resource modeling for the Heihe River Basin in Northwestern China. Science Press, Beijing, pp 98–190 (in Chinese)

    Google Scholar 

  • Yang Z (1991) Glacier water resources in China. Science Press, Beijing, pp 119–136 (in Chinese)

    Google Scholar 

  • Yu G, Xue B, Liu J, Chen X, Zheng YQ (2001) Lake records from China and the palaeoclimate dynamics. China Meteorological Press, Beijing, pp 1–94 (in Chinese)

    Google Scholar 

  • Zhang LJ, Zhao WZ (2008) Daily precipitation pattern and its temporal variability in Heihe River Basin. J Desert Res 28(4):741–747 (in Chinese with English abstract)

    Google Scholar 

  • Zhang HC, Peng JL, Ma YZ, Chen GJ, Feng ZD, Li B, Fan HF, Chang FQ, Lei GL, Wünnemann B (2004) Late Quaternary palaeolake levels in Tengger Desert, NW China. Palaeogeogr Palaeoclimatol Palaeoecol 211:45–58

    Article  Google Scholar 

  • Zhang K, Wang RY, Han HT, Wang XP, Si JH (2007) Hydrological and water resources effects under Climate Change in Heihe River Basin. Resour Sci 29:77–83 (in Chinese with English abstract)

    Google Scholar 

  • Zhao WZ, Liu B (2010) The response of sap flow in shrubs to rainfall pulses in the desert region of China. Agr Forest Meteorol 150:1297–1306

    Article  Google Scholar 

  • Zhao Q, Li XM, Wang NA (2007) Water balance of Shiyang River drainage During 6700–5800 yr BP. J Arid Land Resour Environ 21(6):84–91 (in Chinese with English abstract)

    Google Scholar 

  • Zhao WZ, Niu ZR, Chang XL, Li SB (2010) Water consumption in artificial desert oasis based on net primary productivity. Sci China Earth Sci 53:1358–1364

    Article  Google Scholar 

  • Zhou J, Li X, Wang GX, Zhao J (2009) The spatio-temporal variation analysis of groundwater and response to land-use change in the Middle Reaches of the Heihe River Basin. J Nat Resour 24:498–506 (in Chinese with English abstract)

    Google Scholar 

  • Zhu YH, Wu YQ, Drake S (2004) A survey: obstacles and strategies for the development of ground-water resources in arid inland river basins of Western China. J Arid Environ 59:351–367

    Article  Google Scholar 

  • Zhu LP, Xie MP, Wu YH (2010) Quantitative analysis of lake area variations and the influence factors from 1971 to 2004 in the Nam Co basin of the Tibetan Plateau. Chinese Sci Bull 55:1294–1303

    Article  Google Scholar 

  • Zuo HC, Lv SH, Hu YQ, Ma YM (2004) Observation and numerical simulation of heterogenous underlying surface boundary layer (I): the whole physical picture of Cold Island effect and inverse humidity. Plateau Meteorol 23:155–162 (in Chinese with English abstract)

    Google Scholar 

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Acknowledgments

I would like to express my sincere gratitude to the editor and anonymous reviewers who have put considerable time and effect into their comments on this paper. This study was supported by the National Natural Science Foundation of China (No. 50879033 and 41001116), Specialized Research Fund for the Doctoral Program of Higher Education (SRFD, No. 20090211110025), Fund for New Doctoral Candidate Academic in the Ministry of Education and the Fundamental Research Funds for the Central Universities (lzujbky-2010-221 and lzujbky-2012-222).

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  1. College of Earth and Environmental Sciences, Center for Hydrologic Cycle and Climatic Change in Arid Region, Lanzhou University, Lanzhou, 730000, China

    Zhuolun Li, Nai’ang Wang, Yu Li, Zhenyu Zhang, Mengna Li, Chunyu Dong & Rong Huang

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Li, Z., Wang, N., Li, Y. et al. Runoff simulations using water and energy balance equations in the lower reaches of the Heihe River, northwest China. Environ Earth Sci 70, 1–12 (2013). https://doi.org/10.1007/s12665-012-2099-8

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