Comparison between the TOPMODEL and the Xin’anjiang model and their application to rainfall runoff simulation in semi-humid regions

  • Gairui Hao
  • Jiake LiEmail author
  • Liming Song
  • Huaien Li
  • Zhilu Li
Original Article


To study the application of the TOPMODEL and the Xin’anjiang model to rainfall runoff simulation in semi-humid regions, the Holtan excess infiltration runoff module was added to the TOPMODEL structure. The basin of the Heihe Jinpen Reservoir in Shaanxi Province, China, was selected as the study area. Rainfall and runoff data and digital elevation models were collected. The watershed topographic parameters and 21 floods that occurred from 2005 to 2013 were obtained to simulate rainfall runoff. Results show that the improved TOPMODEL and the Xin’anjiang model can effectively stimulate rainfall runoff. The average values of their Nash coefficient are 0.84 and 0.83, respectively, upon calibration, and 0.78 and 0.80, respectively, upon validation. The Xin’anjiang model performs slightly better than the improved TOPMODEL. The results of large flood peaks are better than those of ordinary floods. Both results can be used to simulate the rainfall runoff of a watershed.


TOPMODEL Xin’anjiang model Sensitivity analysis of parameter Rainfall runoff simulation Semi-humid region 



This research was financially supported by the Natural Science Foundation of Shaanxi Province (2015JZ013) and the National Natural Science Foundation of China (51479262).


  1. Abbott MB, Bathurs JC, Cunge JA, O’Connell PE, Rasmussen J (1986a) An introduction to the European Hydrological System–Systeme Hydrologique Europeen, “SHE”, 1: history and philosophy of a physically-based distributed modeling system. J Hydrol 87(1):45–59CrossRefGoogle Scholar
  2. Abbott MB, Bathurst JC, Cunge JA, O’Connell PE, Rasmussen J (1986b) An introduction to the European hydrological system–systeme hydrologique Europeen, “SHE”, 2: structure of a physically-based distributed modeling system. J Hydrol 87(1):61–77CrossRefGoogle Scholar
  3. Amold JG, Srinivasan R, Muttiah RS, Williams JR (1998) Large area hydrologic modeling and assessment part I: model development. J Am Water Resour As 34(1):73–89CrossRefGoogle Scholar
  4. Bennett TH, Peters JC (2000) Continuous soil moisture accounting in the hydrologic Engineering Center Hydrologic Modeling System (HEC-HMS). Joint Conference on Water Resource Engineering and Water Resources Planning and Management, pp 1–10Google Scholar
  5. Bera M, Borah DK (2003) Watershed-scale hydrologic and nonpoint-source pollution models: review of mathematical bases. Trans ASAE 46(6):1553–1566CrossRefGoogle Scholar
  6. Beven KJ, Kirkby MJ (1979) A physically based variable contributing area model of basin hydrology. Hydrolog Sci J 24(1):43–69Google Scholar
  7. Beven KJ, Calver A, Morris EM (1987). The institute of hydrology distributed model. Institute of Hydrology Report no. 98, Wallingford, UKGoogle Scholar
  8. Burnash RJC (1995) The NWS river forecast system-catchment modeling. In: Singh VP (ed) Computer models of watershed hydrology. Water Resources Publications, Highlands Ranch, pp 443–476Google Scholar
  9. Crawford NH, Linsley RE (1966) Digital simulation in hydrology: stanford watershed model VI. Technical Report no. 39, Department of Civil Engineering, Stanford University, CaliforniaGoogle Scholar
  10. Deng P, Li ZJ, Liu ZY (2008) Numerical algorithm of distributed TOPKAPI model and its application. Water Sci. Eng. 1(4):14–21Google Scholar
  11. Ducharne A (2009) Reducing scale dependence in TOPMODEL using a dimensionless topographic index. Hydrol Earth Syst Sc 13(12):2399–2412CrossRefGoogle Scholar
  12. Feldman AD (2000) Hydrologic modeling system-HEC-HMS-technical reference manual. US Army Corps of Engineers, DavisGoogle Scholar
  13. Griensven AV, Meixner T, Grunwald S, Bishop T, Diluzio M, Srinivasan R (2006) A global sensitivity analysis tool for the parameters of multi-variable catchment model. J Hydrol 324(1):10–23CrossRefGoogle Scholar
  14. Guan ZC, Zhu YS, Duan YS, Zeng ZP, Jin DZ, Wu Z (2001) Application of tank model in the humid area and semi-humid area of the north. Hydrology 21(4):25–29 (in Chinese) Google Scholar
  15. Hao GR (2013) Analysis of forecast model influencing factors in Heihe river Jinpen reservoir basin. Master Degree, Xi’an University of Technology (in Chinese) Google Scholar
  16. Huang PN, Li ZJ, Chen J, Li QL, Yao C (2016) Event-based hydrological modeling for detecting dominant hydrological process and suitable model strategy for semi-arid catchments. J Hydrol 542:292–303CrossRefGoogle Scholar
  17. Lenhart L, Eckhardt K, Fohrer N, Frede HG (2002) Comparison of two different approaches of sensitivity analysis. Phys Chem Earth 27(9):645–654CrossRefGoogle Scholar
  18. Li ZJ, Zhang K, Yao C (2006) Comparison of distributed geological models based on GIS technology and DEM. J Hydraul Eng 37(8):1022–1028 (in Chinese) Google Scholar
  19. Li ZJ, Shen J, Zhang PC, Li J, Yao C, Guo Y (2013) Application of physically distributed water-sand model CASC2D-SED. J Hohai Univ. (Natural Sciences) 41(2):95–101 (in Chinese) Google Scholar
  20. Mccuen RH (1982) A guide to hydrologic analysis using SCS methods. Prentice-Hall, EnglewoodGoogle Scholar
  21. Metcalfe P, Beven K, Freer J (2015) Dynamic TOPMODEL: a new implementation in R and its sensitivity to time and space steps. Environ Model Softw 72:155–172CrossRefGoogle Scholar
  22. Ponce VM, Hawkins RH (1996) Runoff curve number: has it reached maturity? J Hydrol Eng 1(1):11–19CrossRefGoogle Scholar
  23. Qi W, Zhang C, Chu JG, Zhou HC (2014) Sensitivity analysis of TOPMODEL hydrological model parameters based on Sobol’ method. J China Hydrol 32(2):49–54 (in Chinese) Google Scholar
  24. Scharffenberg WA, Fleming MJ, Feldman AD (2003) The hydrologic modeling system (HEC-HMS): toward a complete framework for hydrologic engineering. World Water Environ Resour Congress 530:1–8Google Scholar
  25. Sivapalan MK, Takeuchi SW, Franks SW, Gupta VK, Karambiri H, Lakshmi V, Liang X, Mcdonnell JJ, Mendiondo EM, O’connell PE, Oki T, Pomeroy JW, Schertzer D, Uhlenbrook S, Zehe E (2003) IAHS decade of prediction in ungauged basins (PUB), 2003-2012: shaping an exciting future for the hydrological sciences. Hydrolog Sci J 48(6):857–879CrossRefGoogle Scholar
  26. Sobol’ IM (2001) Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math Comput Simul 55(1):271–280CrossRefGoogle Scholar
  27. Song XY, Guan HM, Su ZC, Wang C (2005) Application and research on the Model of Flood forecasting for the semi-humid area. Hydrology 25(2):24–28 (in Chinese) Google Scholar
  28. Xu ZX (2009) Hydrological Models. Science Press, Beijing (in Chinese) Google Scholar
  29. Yang D (1998) Distributed hydrological model using hillslope discretization based on catchment area function development and applications. Thesis for Degree of Doctor of Engineering, University of TokyoGoogle Scholar
  30. Yang D, Herath S, Musiake K (2010) Development of a geomorphology-based hydrological model for large catchments. Annu Doboku Gakkai Ronbunshuu B 42:169–174Google Scholar
  31. Yao C, Li ZJ, Yu ZB, Zhang K (2012) A priori parameter estimates for a distributed, grid-based Xinanjiang model using geographically based information. J Hydrol 468–469:47–62CrossRefGoogle Scholar
  32. Yao C, Zhang K, Yu ZB, Li ZJ, Li QL (2014) Improving the flood prediction capability of the Xinanjiang model in ungauged nested catchments by coupling it with the geomorphologic instantaneous unit hydrograph. J Hydrol 517:1035–1048CrossRefGoogle Scholar
  33. Yue LL, Li ZJ, Jia J (2016) Application of time-varying liner confluence model in sub-humid area and semiarid area. Water Resour Power 34(12):46–48 (in Chinese) Google Scholar
  34. Zhang J, Guo SL, Li CQ, Ling KR (2007a) Comparative study on conceptual hydrological models. Eng J Wuhan Univ 40(2):1–6 (in Chinese) Google Scholar
  35. Zhang WM, Doog ZC, Qian W, Zhu CT (2007b) A Modified TOPMODEL and its application to flood simulation in river Basin. Water Resour Power 25(5):18–22 (in Chinese) Google Scholar
  36. Zhao RJ (1984) Hydrological simulation of watershed—Xin’anjiang model and Shanbei model. Water Resource and Electric Press, Beijing (in Chinese) Google Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Gairui Hao
    • 1
  • Jiake Li
    • 1
    Email author
  • Liming Song
    • 2
  • Huaien Li
    • 1
  • Zhilu Li
    • 1
  1. 1.State Key Laboratory of Eco-Hydraulics in Northwest Arid Region of ChinaXi’an University of TechnologyXi’anChina
  2. 2.Yixing Product Quality Supervision and Inspection InstituteYixingChina

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