Analytical model for a geomorphological instantaneous unit hydrograph

Hydrological Processes

Volumn 20, Issue 18, 2006, Pages 3879-3895

  Fleurant, Cyril ^a   Kartiwa, B ^b   Roland, B ^a  

^a Institut National d'Horticulture   (France)

^b Center for Soil and Agroclimate Research Bogor   (Indonesia)

Author keywords

Geomorphological function; Rainfall runoff; River basin; Transfer function

Indexed keywords

COMPUTER SIMULATION; GEOMORPHOLOGY; MATHEMATICAL MODELS; RAIN; RIVERS; RUNOFF; TRANSFER FUNCTIONS;

GEOMORPHOLOGICAL INSTANTANEOUS UNIT HYDROGRAPH; PRODUCTION FUNCTION; RAINFALL-RUNOFF MODELLING;

CATCHMENTS;

CATCHMENTS; COMPUTER SIMULATION; GEOMORPHOLOGY; MATHEMATICAL MODELS; RAIN; RIVERS; RUNOFF; TRANSFER FUNCTIONS;

ANALYTICAL METHOD; DIGITAL ELEVATION MODEL; GEOMORPHOLOGY; HYDROGRAPH; RAINFALL-RUNOFF MODELING; RIVER BASIN; TRANSFER FUNCTION;

EID: 33845372643     PISSN: 08856087     EISSN: 10991085     Source Type: Journal    
DOI: 10.1002/hyp.6162     Document Type: Article

References (50)

1. Beven K, Wood E. 1993. Channel network hydrology. In Flow Routing and the Hydrological Response of Channel Networks, Beven K, Kirkby M (eds). Wiley.
2. Chow V. 1959. Open-Channel Hydraulics. McGraw-Hill: New York.
3. Chow V, Maidment D, Mays L. 1988. Applied Hydrology. McGraw-Hill: New York.
4. Cudennec C. 2000. Description mathématique de l'organisation du réseau hydrographique et modélisation hydrologique. PhD thesis, Ecole Nationale Supérieure d'Agronomie de Rennes.
5. Cudennec C, Fouad Y, Sumarjo Gatot I, Duchesne J. 2004. A geomorphological explanation of the unit hydrograph concept. Hydrological Processes 18: 603-621.
6. Dooge J. 1959. A general theory of the unit hydrograph. Journal of Geophysical Research 64(2): 241-256.
7. Duchesne J, Cudennec C, Corbierre V. 1997. Relevance of the H2U model to predict the discharge of a catchment. Water Science and Technology 36: 169-175.
8. Duchesne J, Raimbault P, Fleurant C. 2002. Towards a universal law of tree morphometry by combining fractal geometry and statistical physics. In Proceeding: Emergent Nature, Patterns, Growth and Scaling in the Sciences; 93-102.
9. Feder J. 1988. Fractals. Plenum Press.
10. Feller W. 1971. An Introduction to Probability Theory and its Applications. Wiley.
11. Fleurant C, Boulestreau P. 2005. Comment on 'Cudennec, Fouad, Sumarjo Gatot, Duchesne, A geomorphological explanation of the unit hydrograph concept. Hydrological Processes, 18 (2004) 603-621'. Hydrological Processes 19: 541-543.
12. Fleurant C, Duchesne J, Raimbault P. 2004. An allometric model for trees. Journal of Theoretical Biology 227: 137-147.
13. Green WE, Ampt GA. 1911. Studies on soils physics: 1, flow of air and water through soils. Journal of Agricultural Science 4: 1-24.
14. Gupta V, Waymire E. 1983. On the formulation of an analytical approach to hydrologic response and similarity at the basin scale. Journal of Hydrology 65: 95-123.
15. Gupta V, Waymire E, Wang C. 1980. A representation of an instantaneous unit hydrograph from geomorphology. Water Resources Research 16(5): 855-862.
16. Hills RC. 1970. The Determination of the Infiltration Capacity on Field Soils using the Cylinder Infiltrometer. British Geomorphological Research Group, Technical Bulletin No. 3. Geo Abstracts.
17. Holtan HN. 1961. A Concept for Infiltration Estimates in Watershed Engineering. Agricultural Research Service Bulletin 51. USDA: Washington, DC.
18. Horton RE. 1933. The role of infiltration in the hydrologic cycle. Eos, Transactions of the AGU 14: 446-460.
19. Horton R. 1945. Erosional development of streams and their drainage basins; hydrological approach to quantitative morphology. Bulletin of the Geological Society of America 56: 275-370.
20. Jin C. 1992. A deterministic gamma-type geomorphologic instantaneous unit hydrograph based on path types. Water Resources Research 28(2): 479-486.
21. Kartiwa B. 2004. Modélisation du fonctionnement hydrologique des bassins versants. Application sur des bassins versants de Java et Sumatra (Indonésie). PhD thesis, Institut National d'Horticulture.
22. Kirchner J, Feng X, Neal C. 2001. Catchment-scale advection and dispersion as a mechanism for fractal scaling in stream tracer concentrations. Journal of Hydrology 254: 82-101.
23. Kirshen D, Bras R. 1983. The linear channel and its effects on the geomorphological IUH. Journal of Hydrology 65: 175-208.
24. LaBarbera P, Rosso R. 1987. Fractal geometry of river networks. Eos, Transactions of the AGU 68: 12-76.
25. LaBarbera P, Rosso R. 1989. On the fractal dimension of stream networks. Water Resources Research 25(4): 735-741.
26. LaBarbera P, Rosso R. 1990. On the fractal dimension of stream networks. Water Resources Research 26: 2245-2248.
27. Lienhard J. 1964. A statistical mechanical prediction of the dimensionless UH. Journal of Geophysical Research 69: 5231-5238.
28. Mandelbrot B. 1988. Fractal Geometry of Nature. W.H. Freeman and Compagny: NY.
29. Mathai A. 1982. Storage capacity of a dam with gamma type inputs. Annals of the Institute of Statistical Mathematics 34: 591-597.
30. Moschopoulos P. 1985. The distribution of the sum of independent gamma random variables. Annals of the Institute of Statistical Mathematics 37: 541-544.
31. Nash J. 1957. The form of the instantaneous unit hydrograph. International Association of Science and Hydrology 45(3): 114-121.
32. Nash J. 1959. Synthetic determination of unit hydrograph parameters. Journal of Geophysical Research 64(1): 112-114.
33. Nash J. 1960. A unit hydrograph study, with particular reference to British catchments. Proceedings of the Institution of Civil Engineers 17: 249-282.
34. Nash J, Sutcliffe J. 1970. River flow forecasting though conceptual models: 1. Discussion and principles. Journal of Hydrology 10: 282-290.
35. Philip J. 1957. The theory of infiltration: 1. The infiltration equation and its solution. Soil Science 83: 345-357.
36. Poole G, Stanford JA, Frissell CA, Running SW. 2002. Three-dimensional mapping of geomorphic controls on flood-plain hydrology and connectivity from aerial photos. Geomorphology 48(4): 329-347.
37. Rodriguez-Iturbe I, Rinaldo A. 1997. Fractal River Basins. Cambridge University Press.
38. Rodriguez-Iturbe I, Valès J. 1979. The geomorphologic structure of hydrologic response. Water Resources Research 15(6): 1409-1420.
39. Rosso R. 1984. Nash model relation to Horton order ratios. Water Resources Research 20: 914-920.
40. Rosso R, Bacchi B, LaBarbera P. 1991. Fractal relation of mainstream length to catchment area in river networks. Water Resources Research 27(3): 381-387.
41. Schumm S. 1956. Evolution of drainage system and slopes in badlands at Pearth Amboy. Bulletin of the Geological Society of America 87: 597-646.
42. Sherman L. 1932. Streamflow from rainfall by unit-graph method. Engineering News-Record 501-505.
43. Shreve R. 1969. Stream lengths and basin areas in topologically random channel networks. Journal of Geology 77: 397-414.
44. Sim C. 1992. Point processes with correlated gamma interarrival times. Statistics and Probability Letters 15: 135-141.
45. Strahler A. 1952. Hypsometric, analysis of erosional topography. Geol. Soc. Am. Bull., 63: 1117-1142.
46. Strahler A. 1957. Quantitative analysis of watershed geomorphology. Transactions of the AGU 38: 913-920.
47. Strahler A. 1964. Quantitative geomorphology of drainage and channel networks. In Van.Te.Chow (ed.). Handbook of Applied Hydrology. McGraw Hill Book Compagny: NY; 39-76.
48. Tarboton D, Bras R, Rodriguez-Iturbe I. 1990. Comment on 'On the fractal dimension of stream networks' by P. LaBarbera and R. Rosso. Water Resources Research 26: 2243-2244.
49. Van der Tak L, Bras R. 1990. Incorporating hillslope effects into the geomorphologic instantaneous unit hydrograph. Water Resources Research 26(10): 2393-2400.
50. Yair A, Raz-Yassif N. 2004. Hydrological processes in a small and catchment: scale effects of rainfall and slope length. Geomorphology 61(1-2): 155-169.