Sunday, March 8, 2015

The geomorphic unit hydrograph from a historical-critical perspective

I have just submitted to the review process a paper on the geomorphic unit hydrograph. (Now published here). It crosses close to four decades of progress the field of describing the treatment of the hydrologic response with the travel time concept, and hopefully was able to convey the core of the ideas behind this very nice (and effective) theory, and to open the way to new researches. The paper was accepted as a "State of  art paper" by Earth Surface Processes and Landforms.

Its abstract:
"In this paper we present a brief overview of Geomorphic Instanteneous Unit Hydro- graph (GIUH) theories and analyze their successful path without hiding their limitations. The history of the GIUH can be subdivided into three major chapters. The first chap- ter is based on the pioneering work by Rodríguez-Iturbe and Valdés (1979), and Gupta and Waymire (1983), which recognized that a treatment of water discharges with ”travel times” could give a rich interpretation of the theory of the Instantaneous Unit Hydrograph (IUH). We show how this was possible, what assumptions were made, which of these assumptions can be relaxed, and which have become obsolete and been discarded. The second chapter focuses on the Width Function Based IUH (WFIUH) approach and its achievements in assessing the interplay of the topology and geometry of the network with water dynamics. The limitations of the WFIUH approach are described, and a way to work around them is suggested. Finally, a new formal approach to estimating the water budget by ”travel times”, which derives from a suitable use of the water budget equation and some mixing hypotheses, has been disentangled and presented."


The little post on the width function can be considered a complementary reading too.  The pre-print of the paper is here.

Bibliography (including some more papers)


Band LE, 1986. Topographic Partition of Watersheds with Digital Elevation Models. Water Resources Research 22(1): 15–24. ISSN 1944-7973. doi:10.1029/WR022i001p00015.

Beven KJ, 2011. Rainfall-runoff modelling: the primer. John Wiley & Sons.

Botter G, Bertuzzo E, Rinaldo A, 2010. Transport in the hydrologic response: Travel time dis- tributions, soil moisture dynamics, and the old water paradox. Water Resources Research 46(3): n/a–n/a. ISSN 1944-7973. doi:10.1029/2009WR008371.

Botter G, Bertuzzo E, Rinaldo A, 2011. Catchment residence and travel time distributions: The master equation. Geophysical Research Letters 38(11): L11403. ISSN 1944-8007. doi:10.1029/2011GL047666.

Botter G, Rinaldo A, 2003. Scale effect on geomorphologic and kinematic dispersion. Water Resour. Res. 39: 10 PP. doi:200310.1029/2003WR002154.

Clark C, 1945. Storage and the unit hydrograph. Transactions of the American Society of Civil Engineers 110(1): 1419–1446.

Comola F, Schaefli B, Rinaldo A, Lehning M, 2015. Thermodynamics in the hydrologic response: Travel time formulation and application to Alpine catchments. Water Resources Research : n/a–n/aISSN 1944-7973. doi:10.1002/2014WR016228.

Cudennec C, Fouad Y, Gatot IS, Duchesne J, 2004. A geomorphological explanation of the unit hydrograph concept. Hydrol. Process. 18(4): 603–621. ISSN 0885-6087. doi: 10.1002/hyp.1368.

Cudennec C, Slimani M, Le Goulven P, 2005. Accounting for sparsely observed rainfall space-time variability in a rainfall-runoff model of a semiarid Tunisian basin. Hydrolog. Sci. J. 50(4): 617–630. ISSN 0262-6667. doi:10.1623/hysj.2005.50.4.617.

Córdova J, Rodríguez-Iturbe I, 1983. Geomorphoclimatic estimation of extreme flow probabilities. Journal of Hydrology 65(1–3): 159 – 173. ISSN 0022-1694. doi: http://dx.doi.org/10.1016/0022-1694(83)90215-9. Scale Problems in Hydrology.

Dagan G, 1989. Flow and Transport in Porous Formations. Springer-Verlag Heidelberg Berlin New York. doi:10.1007/978-3-642-75015-1. 465 p.

de Lavenne A, Boudhraâ H, Cudennec C, 2013. Streamflow prediction in ungauged basins through geomorphology-based hydrograph transposition. Hydrology Research doi: 10.2166/nh.2013.099. In press.

de Lavenne A, Rigon R, Formetta G, Cudennec C, 2015. What is the best WFIUH transfer function? .

Dingman SL, 1994. Physical Hydrology. Macmillan, New York.

D’Odorico P, Rigon R, 2003. Hillslope and channel contributions to the hydrologic response.
Water Resour. Res. 39(5): 1113. ISSN 0043-1397. doi:10.1029/2002WR001708.

Dooge JCI, 1959. A general theory of the unit hydrograph. Journal of Geophysical Research
64(2): 241–256. ISSN 2156-2202. doi:10.1029/JZ064i002p00241.
Dooge JCI, 2003. Linear Theory of Hydrologic Systems, volume 1. EGU Reprint Series,
Katlenburg-Lindau, Germany.

Fairfield J, Leymarie P, 1991. Drainage networks from grid digital elevation models. Water Resources Research 27(5): 709–717. ISSN 1944-7973. doi:10.1029/90WR02658.

Fenicia F, Savenije HHG, Matgen P, Pfister L, 2008. Understanding catchment behavior through stepwise model concept improvement. Water Resour. Res. 44(1): W01402. ISSN 0043-1397. doi:10.1029/2006WR005563.

Formetta G, Mantilla R, Franceschi S, Antonello A, Rigon R, 2011. The JGrass-NewAge system for forecasting and managing the hydrological budgets at the basin scale: models of flow generation and propagation/routing. Geoscientific Model Development 4(4): 943– 955. doi:10.5194/gmd-4-943-2011.

Grimaldi S, Petroselli A, Alonso G, Nardi F, 2010. Flow time estimation with spatially variable hillslope velocity in ungauged basins. Adv. Water. Resour. 33(10, Sp. Iss. SI): 1216–1223. ISSN 0309-1708. doi:10.1016/j.advwatres.2010.06.003.

Grimaldi S, Petroselli A, Nardi F, 2012. A parsimonious geomorphological unit hydrograph for rainfall–runoff modelling in small ungauged basins. Hydrolog. Sci. J. 57(1): 73–83. doi:10.1080/02626667.2011.636045.

Gupta VK, Mesa OJ, 1988. Runoff generation and hydrologic response via channel network geomorphology — Recent progress and open problems. J. Hydrol. 102(1–4): 3–28. ISSN 0022-1694. doi:10.1016/0022-1694(88)90089-3.

Gupta VK, Waymire E, 1983. On the formulation of an analytical approach to hydrologic response and similarity at the basin scale. J. Hydrol. 65(1–3): 95–123. ISSN 0022-1694. doi:10.1016/0022-1694(83)90212-3. 

Gupta VK, Waymire E, Wang CT, 1980. A representation of an instantaneous unit hydrograph from geomorphology. Water Resour. Res. 16(5): 855–862. doi: 198010.1029/WR016i005p00855.

Hall MJ, Zaki AF, Shahin MMA, 2001. Regional analysis using the Geomorphoclimatic In- stantaneous Unit Hydrograph. Hydrol. Earth Syst. Sci. 5(1): 93–102. doi:10.5194/hess-5- 93-2001.

Henderson FM, 1966. Open channel flow. Macmillan, New York. ISBN 0023535105. 522 pp.

Kirkby MJ, 1976. Tests of the random network model, and its application to basin hydrology. Earth Surface Processes 1(3): 197–212. ISSN 1931-8065. doi:10.1002/esp.3290010302.

Leopold LB, Maddock T, 1953. The Hydraulic Geometry of Stream Channels and Some Physiographic Implications. US Geol. Surv. Prof. Pap. 252: 56.

McDonnell JJ, McGuire K, Aggarwal P, Beven KJ, Biondi D, Destouni G, Dunn S, James A, Kirchner J, Kraft P, Lyon S, Maloszewski P, Newman B, Pfister L, Rinaldo A, Rodhe A,

Sayama T, Seibert J, Solomon K, Soulsby C, Stewart M, Tetzlaff D, Tobin C, Troch P, Weiler M, Western A, Wörman A, Wrede S, 2010. How old is streamwater? Open ques- tions in catchment transit time conceptualization, modelling and analysis. Hydrological Processes 24(12): 1745–1754. ISSN 1099-1085. doi:10.1002/hyp.7796.

McGuire KJ, McDonnell JJ, 2006. A review and evaluation of catchment transit time modeling. Journal of Hydrology 330(3–4): 543 – 563. ISSN 0022-1694. doi: http://dx.doi.org/10.1016/j.jhydrol.2006.04.020.

Mesa O, Mifflin E, 1986. On the Relative Role of Hillslope and Network Geometry in Hy- drologic Response. In V Gupta, I Rodríguez-Iturbe, E Wood (eds.), Scale Problems in Hydrology, Springer Netherlands, volume 6 of Water Science and Technology Library. ISBN 978-94-010-8579-3, pages 1–17. doi:10.1007/978-94-009-4678-1_1.

Morse P, Feshbach H, 1953. Methods of theoretical physics. Cambridge University Press.

Naden P, Broadhurst P, Tauveron N, Walker A, 1999. River routing at the continental scale: use of globally-available data and an a priori method of parameter estimation. Hydrology and Earth System Sciences 3(1): 109–123. doi:10.5194/hess-3-109-1999.

Naden PS, 1992. Spatial variability in flood estimation for large catchments: the exploitation of channel network structure. Hydrolog. Sci. J. 37(1): 53–71. ISSN 0262-6667. doi: 10.1080/02626669209492561. 

Nicótina L, Alessi Celegon E, Rinaldo A, Marani M, 2008. On the impact of rainfall patterns on the hydrologic response. Water Resources Research 44(12): W12401. ISSN 1944-7973. doi:10.1029/2007WR006654.

Niemi AJ, 1977. Residence time distributions of variable flow processes. The International Journal of Applied Radiation and Isotopes 28(10–11): 855 – 860. ISSN 0020-708X. doi: http://dx.doi.org/10.1016/0020-708X(77)90026-6.

Pattison I, Lane SN, Hardy RJ, Reaney SM, 2014. The role of tributary relative timing and sequencing in controlling large floods. Water Resources Research 50(7): 5444–5458. ISSN 1944-7973. doi:10.1002/2013WR014067.

Rigon R, D’Odorico P, Bertoldi G, 2011. The geomorphic structure of the runoff peak. Hydrol. Earth Syst. Sci. 15(6): 1853–1863. doi:10.5194/hess-15-1853-2011.

Rinaldo A, Beven KJ, Bertuzzo E, Nicotina L, Davies J, Fiori A, Russo D, Botter G, 2011. Catchment travel time distributions and water flow in soils. Water Resources Research ,47(7): n/a–n/a. ISSN 1944-7973. doi:10.1029/2011WR010478.

Rinaldo A, Marani A, 1987. Basin scale model of solute transport. Water Resources Research 23(11): 2107–2118. ISSN 1944-7973. doi:10.1029/WR023i011p02107.

Rinaldo A, Marani A, Rigon R, 1991. Geomorphological dispersion. Water Resour. Res.
27(4): 513–525. ISSN 0043-1397.

Rinaldo A, Rodríguez-Iturbe I, 1996. Geomorphological theory of the hydrological re- sponse. Hydrol. Process. 10(6): 803–829. ISSN 1099-1085. doi:10.1002/(SICI)1099- 1085(199606)10:6<803::AID-HYP373>3.0.CO;2-N.

Rinaldo A, Vogel GK, Rigon R, Rodriguez-Iturbe I, 1995. Can one gauge the shape of a basin? Water Resour. Res. 31(4): 1119–1127. ISSN 0043-1397. doi: 10.1029/94WR03290.

Robinson JS, Sivapalan M, Snell JD, 1995. On the relative roles of hillslope processes, chan- nel routing, and network geomorphology in the hydrologic response of natural catchments. Water Resour. Res. 31(12): 3089–3101. ISSN 0043-1397.

Rodríguez-Iturbe I, González-Sanabria M, Bras RL, 1982. A geomorphoclimatic theory of the instantaneous unit hydrograph. Water Resour. Res. 18(4): 877–886. doi: doi:10.1029/WR018i004p00877.

Rodríguez-Iturbe I, Rinaldo A, 1997. Fractal River Basins: Chance and Self-Organization. Cambridge University Press, Cambridge (UK). doi:10.2277/0521004055.

Rodríguez-Iturbe I, Valdés JB, 1979. The geomorphologic structure of hydrologic response. Water Resour. Res. 15(6): 1409–1420. ISSN 0043-1397.

Saco PM, Kumar P, 2002a. Kinematic dispersion in stream networks 1. Coupling hydraulic and network geometry. Water Resour. Res. 38: 14 PP. doi:200210.1029/2001WR000695.

Saco PM, Kumar P, 2002b. Kinematic dispersion in stream networks 2. Scale issues and self-similar network organization. Water Resour. Res. 38(11): 1245. ISSN 0043-1397. doi:10.1029/2001WR000694.

Sivapalan M, 2003. Process complexity at hillslope scale, process simplicity at the watershed scale: is there a connection? Hydrol. Process. 17(5): 1037–1041. ISSN 0885-6087. doi: 10.1002/hyp.5109.

Sivapalan M, Jothityangkoon C, Menabde M, 2002. Linearity and nonlinearity of basin re- sponse as a function of scale: Discussion of alternative definitions. Water Resour. Res. 38: 5. doi:200210.1029/2001WR000482.

Smith MB, Koren VI, Zhang Z, Reed SM, Pan JJ, Moreda F, 2004. Runoff response to spatial variability in precipitation: an analysis of observed data. Journal of Hydrology 298(1–4): 267 – 286. ISSN 0022-1694. doi:http://dx.doi.org/10.1016/j.jhydrol.2004.03.039. The Distributed Model Intercomparison Project (DMIP).

Snell JD, Sivapalan M, 1994. On geomorphological dispersion in natural catchments and the geomorphological unit hydrograph. Water Resour. Res. 30(7): 2311–2323. ISSN 0043-1397.

Tarboton DG, Bras RL, Rodriguez-Iturbe I, 1991. On the extraction of channel networks from digital elevation data. Hydrological Processes 5(1): 81–100. ISSN 1099-1085. doi: 10.1002/hyp.3360050107.

Valdés JB, Fiallo Y, Rodríguez-Iturbe I, 1979. A rainfall-runoff analysis of the geomor- phologic IUH. Water Resources Research 15(6): 1421–1434. ISSN 1944-7973. doi: 10.1029/WR015i006p01421.

van der Tak LD, Bras RL, 1990. Incorporating hillslope effects into the geomorphologic instantaneous unit hydrograph. Water Resources Research 26(10): 2393–2400. ISSN 1944-7973. doi:10.1029/WR026i010p02393.

Wang CT, Gupta VK, Waymire E, 1981. A geomorphologic synthesis of nonlinearity in sur- face runoff. Water Resour. Res. 17(3): 545–554. doi:198110.1029/WR017i003p00545.

Wilkinson L, Friendly M, 2009. The History of the Cluster Heat Map. The American Statistician 63(2): 179–184. doi:10.1198/tas.2009.0033.

Woods R, Sivapalan M, 1999. A synthesis of space-time variability in storm response: Rainfall, runoff generation, and routing. Water Resour. Res. 35(8): 2469–2485. doi: 199910.1029/1999WR900014.

Zoccatelli D, Borga M, Viglione A, Chirico GB, Blöschl G, 2011. Spatial moments of catch- ment rainfall: rainfall spatial organisation, basin morphology, and flood response. Hydrol- ogy and Earth System Sciences 15(12): 3767–3783. doi:10.5194/hess-15-3767-2011.


Zoch RT, 1937. On the relation between rainfall and stream flow. Monthly Weather Review 55: 135–147.

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