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Quantifying flow rate using stage-discharge rating curve and Scs runoff equation on upland watershed of Lake Tana Sub Basin, Ethiopia

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Abstract

In the Tana sub-basin, there is a practical knowledge deficit in the development of stage-discharge rating curves utilizing the salt dilution approach. Even though there are lots of discharge measurement techniques in the gauged watershed, which are difficult, expensive and time-consuming. The aim of this study was to develop a stage-discharge rating curve and identify the geographic variance of runoff in three micro watersheds in the Tana Subbasin: Enkulal from Gummara, Toma from Gigel Abay, and Guale(2u) from Rib watershed. To develop the stage-discharge rating curve and to quantify the spatial variation of runoff, the rainfall, stage and discharge data were recorded over a certain period. Discharge data were collected using salt dilution and floating methods while the stage data were recorded using staff gauge at each stream from June 2019 to September 2019. In each micro watershed, the stage and discharge relationship were created utilizing the power and polynomial equation with a very good determination coefficient (R2). The discharge obtained using the floating method did not differ statistically from that expected using the salt dilution method. At the outlet of Toma, Guale (2u), and Enkulal micro watersheds, the SCS equation produced a better correlation of measured and simulated runoff with coefficients of determination (R2) of 0.97, 0.94, and 0.98, respectively. The average effective available storage was obtained as 22, 24 and 45 mm and the corresponding curve number value were 92, 91 and 85 for Toma, Guale and Enkulal, micro watersheds, respectively. On the other hand, the curve numbers with regard to land use, hydrological condition and soil groups were found as 85, 84, 85 for Toma, Guale and Enkulal micro watersheds, respectively. The area that contributed runoff was ranged from 87% of the total area of the micro watershed during high rainfall periods and smaller than 51% of the total area of the micro watershed in low rainfall periods.

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The required data collected for analysis are included in the manuscript. The corresponding author is ready to clarify the data and provides all the necessary data sets as per the request.

References

  • Alfa MI, Ajibike MA, Daffi RE (2018) Application of analytic hierarchy process and geographic information system techniques in flood risk assessment: a case of Ofu river catchment in Nigeria. J Degrad Min Lands Manag 5(4):1363

    Article  Google Scholar 

  • Bhagat NK (2017) Rainfall-runoff co-relationship for the lower Mahi Basin, India. Int J Hydro 1(5):127–130

  • Braca G (2008) Stage-discharge relationships in open channels: Practices and problems, Univ. degli Studi di Trento, Dipartimento di Ingegneria Civile e Ambientale

  • BV DC, Hydraulics D (1999) How to establish stage discharge rating curve. New Delhi, India

    Google Scholar 

  • Demisse BA (2011) Discharge and sediment yield modeling in Enkulal watershed, Lake Tana region, Ethiopia (Doctoral dissertation, Cornell University)

  • Engda TA (2009) Modeling rainfall, runoff and soil loss relationships in the northeastern highlands of Ethiopia, andit tid watershed (Doctoral dissertation, Cornell University)

  • Ethiopia Road Authority manual (2013) 

  • Flury M, Wai NN (2003) Dyes as tracers for vadose zone hydrology. Rev Geophys 41(1)

  • Getnet A (2020) Regional peak flow estimation in un-gauged catchments of Lake Tana basin. Upper Blue Nile, Ethiopia (Doctoral dissertation)

  • Guven A, Aytek A (2009) New approach for stage–discharge relationship: gene-expression programming. J Hydrol Eng 14(8):812–820

    Article  Google Scholar 

  • Guzman CD, Tilahun SA, Zegeye AD, Steenhuis TS (2013) Suspended sediment concentration–discharge relationships in the (sub-) humid Ethiopian highlands. Hydrol Earth Syst Sci 17(3):1067–1077

    Article  Google Scholar 

  • Kim SE, Shin J, Seo IW, Lyu S (2016) Development of stage-discharge rating curve using hydraulic performance graph model. Proc Eng 154:334–339

    Article  Google Scholar 

  • Malik S, Pal SC (2021a) Application of 2D numerical simulation for rating curve development and inundation area mapping: a case study of monsoon dominated Dwarkeswar river. Int J River Basin Manag 19(4):553–563

    Article  Google Scholar 

  • Malik S, Pal SC (2021b) Potential flood frequency analysis and susceptibility mapping using CMIP5 of MIROC5 and HEC-RAS model: a case study of lower Dwarkeswar River Eastern India. SN Appl Sci 3(1):1–22

    Article  Google Scholar 

  • Moore R (2004) Introduction to salt dilution gauging for streamflow measurement part 2: Constant-rate injection. Streamline Watershed Manag Bull 8(1):11–15

    Google Scholar 

  • Motulsky HJ, Ransnas LA (1987) Fitting curves to data using nonlinear regression: a practical and nonmathematical review. FASEB J 1(5):365–374

    Article  Google Scholar 

  • Mussie M (2013) Runoff estimation by giuh based clark and nash models for Shaya River. Addis Ababa University

    Google Scholar 

  • Ostertagová E (2012) Modelling using polynomial regression. Procedia Eng 48:500–506

    Article  Google Scholar 

  • Othman NY, Abd Saleh Z, Omran ZA (2019) Development of stage-distance-discharge relationship and rating curve using least square method. Civil Eng J 5(9):1959–1969

    Article  Google Scholar 

  • Quader F (1995) Study on stage-discharge relationship of Atrai river

  • Richardson MH, Formenti DL (1985) Global curve fitting of frequency response measurements using the rational fraction polynomial method. Proceeding of 3rd IMAC, pp 390–397

  • Steenhuis TS, Winchell M, Rossing J, Zollweg JA, Walter MF (1995) SCS runoff equation revisited for variable-source runoff areas. J Irrig Drainage Eng 121(3):234–238

    Article  Google Scholar 

  • Subramanya K (2013) Engineering hydrology, 4e. Tata McGraw-Hill Education

    Google Scholar 

  • Tadesse A (2020) Effect of watershed characteristics on ground water quality and hydrological response in Ethiopian higlands (Doctoral dissertation)

  • Tilahun SA, Guzman CD, Zegeye AD, Dagnew DC, Collick AS, Yitaferu B, Steenhuis TS (2015) Distributed discharge and sediment concentration predictions in the sub-humid Ethiopian highlands: the Debre Mawi watershed. Hydrol Process 29(7):1817–1828

    Article  Google Scholar 

  • Tilahun SA, Ayana EK, Guzman CD, Dagnew DC, Zegeye AD, Tebebu TY, Steenhuis TS (2016) Revisiting storm runoff processes in the upper Blue Nile basin: The Debre Mawi watershed. CATENA 143:47–56

    Article  Google Scholar 

  • Yimam AY, Bekele AM, Nakawuka P, Schmitter P, Tilahun SA (2018) Rainfall-runoff process and groundwater recharge in the Upper Blue Nile Basin: the case of dangishta watershed. In: International conference on advances of science and technology. Springer, pp 536–549

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Acknowledgements

I would after all. I'd like to thank God for making it possible for me to start and finish my task. I'd want to express my gratitude to my advisor, Dr. Seifu Adimasu, for his guidance, support, and encouragement and Dr. Adugnaw Taddesse, Co-Advisor, for his unreserved advice, support, his valuable comments and guidance for the completion of this thesis. Abebaw Yeniew and all data collectors (Ato Awoke Asmare, Ato Endeshaw and W/ro Liyu Taddesse) who helped me a lot during fieldwork. I'd like to convey my heartfelt gratitude to Debre Tabor University's Technology faculty for providing me with the opportunity to pursue my M.Sc. And I would like to say thanks to the West Amhara meteorological center, for their donation of climate data.

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Correspondence to Yibeltal Zewdu Kumlachew.

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We here submitted the manuscript entitled “Quantifying Flow Rate Using Stage Discharge Rating Curve and SCS Runoff Equation On Upland Watershed of Lake Tana Sub Basin, Ethiopia” to be considered for publication. We declare that this is our original research work. There is no conflict of interest between the authors.

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All procedures performed in studies involving human participants were in accordance with the ethical standards of the institutional and/or national research committee and with the 1964 Helsinki Declaration and its later amendments or comparable ethical standards. Informed consent was obtained from all individual participants involved in the study. I understand that journals may be available in both print and on the internet, and will be available to a broader audience through marketing channels and other third parties. Therefore, anyone can read material published in the Journal.

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Kumlachew, Y.Z., Tilahun, S.A., Cherie, F.F. et al. Quantifying flow rate using stage-discharge rating curve and Scs runoff equation on upland watershed of Lake Tana Sub Basin, Ethiopia. Sustain. Water Resour. Manag. 9, 47 (2023). https://doi.org/10.1007/s40899-022-00793-z

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