Catchments as simple dynamical systems: Catchment characterization, rainfall-runoff modeling, and doing hydrology backward

Water Resources Research

Volumn 45, Issue 2, 2009, Pages

  Kirchner, James W ^a,b,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b SWISS FEDERAL RESEARCH INSTITUTE WSL   (Switzerland)

^c ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; EARTH SCIENCES; EVAPOTRANSPIRATION; GAGES; METEOROLOGICAL INSTRUMENTS; NONLINEAR EQUATIONS; RAIN; RAIN GAGES; RUNOFF; STREAM FLOW; TIME SERIES; WATER SUPPLY;

ANTECEDENT MOISTURES; CATCHMENT HYDROLOGIES; DIRECT MEASUREMENTS; DIURNAL CYCLES; DYNAMIC STORAGES; FIRST ORDERS; GOVERNING EQUATIONS; HYDROGRAPHS; MATERIAL PROPERTIES; NON-LINEAR DIFFERENTIAL EQUATIONS; PARAMETERIZED; PENMAN MONTEITHS; PHYSICAL PROCESS; PRECIPITATION MEASUREMENTS; PRECIPITATION RATES; QUANTITATIVE ESTIMATES; RAIN GAUGES; RAINFALL-RUNOFF MODELING; RAINFALL-RUNOFF MODELS; STREAMFLOW HYDROGRAPH; STRONG TESTS; TIME-SCALES; WATER FLUXES;

CATCHMENTS;

ANNUAL VARIATION; CATCHMENT; EVAPOTRANSPIRATION; HEADWATER; HYDROGRAPH; MOISTURE; PENMAN-MONTEITH EQUATION; PRECIPITATION ASSESSMENT; RAINFALL-RUNOFF MODELING; RAINGAUGE; RECONSTRUCTION; STREAMFLOW; TIME SERIES ANALYSIS; WATER FLOW;

CEREDIGION; EURASIA; EUROPE; PLYNLIMON; SEVERN RIVER [UNITED KINGDOM]; UNITED KINGDOM; WALES; WESTERN EUROPE; WYE RIVER [ENGLAND-WALES];

EID: 62949194248     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2008WR006912     Document Type: Article

References (72)

1. Ambrose, B., K. Beven, and J. Freer (1996), Toward a generalization of the TOPMODEL concepts: Topographic indices of hydrological similarity, Water Resour. Res., 32, 2135-2145, doi:10.1029/95WR03716.
2. Bathurst, J. C. (1986), Sensitivity analysis of the Systeme Hydrologique Europeen for an upland catchment, J. Hydrol., 87, 103-123, doi:10.1016/0022-1694(86)90117-4.
3. Beven, K. (1979), Generalized kinematic routing method, Water Resour. Res., 15, 1238-1242, doi:10.1029/WR015i005p01238.
4. Beven, K. (1989), Changing ideas in hydrology-The case of physically based models, J. Hydrol., 105, 157-172, doi:10.1016/0022-1694(89)90101-7.
5. Beven, K. J. (2001), Rainfall-Runoff Modelling: The Primer, 360 pp., John Wiley, Chichester, U. K.
6. t=H(S, R, Δt)A as closure, Hydrol. Earth Syst. Sci., 10, 609-618.
7. Beven, K. J., and A. M. Binley (1992), The future of distributed models: Model calibration and predictive uncertainty, Hydrol. Processes, 6, 279-298, doi:10.1002/hyp.3360060305.
8. Boronina, A., S. Golubev, and W. Balderer (2005), Estimation of actual evapotranspiration from an alluvial aquifer of the Kouris catchment (Cyprus) using continuous streamflow records, Hydrol. Processes, 19, 4055-4068, doi:10.1002/hyp.5871.
9. Brutsaert, W. H. (1982), Evaporation Into the Atmosphere: Theory, History, and Applications, 299 pp., D. Reidel, Dordrecht, Netherlands.
10. Brutsaert, W. (2005), Hydrology: An Introduction, 605 pp., Cambridge Univ. Press, Cambridge, U.K.
11. Brutsaert, W., and J. P. Lopez (1998), Basin-scale geohydrologic drought flow features of riparian aquifers in the southern Great Plains, Water Resour. Res., 34, 233-240, doi:10.1029/97WR03068.
12. Brutsaert, W., and J. L. Nieber (1977), Regionalized drought flow hydro-graphs from a mature glaciated plateau, Water Resour Res., 13, 637-643, doi:10.1029/WR013i003p00637.
13. Calder, I. R. (1977), Model of transpiration and interception loss from a spruce forest in Plynlimon, central Wales, J. Hydrol., 33, 247-265, doi:10.1016/0022-1694(77)9003 8-5.
14. Czikowsky, M. J., and D. R. Fitzjarrald (2004), Evidence of seasonal changes in evapotranspiration in eastern U.S. hydrological records, J. Hydrometeorol., 5, 974-988, doi:10.1175/1525-7541 (2004)005<0974: EOSCIE<2.0.CO;2.
15. Daniel, J. F. (1976), Estimating groundwater evapotranspiration from streamflow records, Water Resour. Res., 12, 360-364, doi:10.1029/ WR012i003p00360.
16. Duan, J., and N. L. Miller (1997), A generalized power function for the subsurface transmissivity profile in TOPMODEL, Water Resour. Res., 33, 2559-2562, doi:10.1029/97WR02186.
17. Federer, C. A. (1973), Forest transpiration greatly speeds streamflow recession, Water Resour. Res., 9, 1599-1604, doi:10.1029/WR009i006p01599.
18. Hall, F. R. (1968), Base flow recessions - A review, Water Resour. Res., 4, 973-983, doi:10.1029/WR004i005p00973.
19. Haria, A. H., and P. Shand (2004), Evidence for deep sub-surface flow routing in forested upland Wales: Implications for contaminant transport and stream flow generation, Hydrol. Earth Syst. Sci., 8, 334-344.
20. Haria, A. H., and P. Shand (2006), Near-stream soil water-groundwater coupling in the headwaters of the Afon Hafren, Wales: Implications for surface water quality, J. Hydrol., 331, 567-579, doi:10.1016/j.jhydrol.2006.06. 004.
21. Horton, R. E. (1936), Natural stream channel-storage, Eos Trans. AGU, 17, 406.
22. Horton, R. E. (1937), Natural stream channel-storage (second paper), Eos Trans. AGU, 18, 440.
23. Horton, R. E. (1941), Virtual channel-inflow graphs, Eos Trans. AGU, 22, 811.
24. Iorgulescu, I., and A. Musy (1997), Generalization of TOPMODEL for a power law transmissivity profile, Hvdrol Processes, 11, 1353-1355, doi:10.1002/(SICI)1099-1085(i99707)11:9<1353::AID-HYP585>3.0.CO;2-U.
25. Kirby, C., M. D. Newson, and K. Gilman (Eds.) (1991), Plynlimon Research: The First Two Decades, Inst. of Hydrol., Wallingford, U.K.
26. Kirby, C., C. Neal, H. Turner, and P. Moorhouse (1997), A bibliography of hydrological, geomorphological, sedimentological, biological, and hydrochemical references to the Institute of Hydrology experimental catchment studies in Plynlimon, Hydrol. Earth Syst. Sci., 1, 755-763.
27. Kirchner, J. W. (2006), Getting the right answers for the right reasons: Linking measurements, analyses, and models to advance the science of hydrology, Water Resour. Res., 42, W03S04, doi:10.1029/2005WR004362.
28. Kirchner, J. W., X. Feng, and C. Neal (2000), Fractal stream chemistry and its implications for contaminant transport in catchments. Nature, 403, 524-527, doi:10.1038/35000537.
29. Kirchner, J. W., X. Feng, and C. Neal (2001), Catchment-scale advection and dispersion as a mechanism for fractal scaling in stream tracer concentrations, J. Hydrol, 254, 82-100, doi:10.1016/S0022-1694(01)00487- 5.
30. Klemes, V. (1986), Operational testing of hydrological simulation models, Hydrol Sci. J., 31, 13-24.
31. Lamb, R., and K. Beven (1997), Using interactive recession curve analysis to specify a general catchment storage model, Hydrol Earth Syst. Sci., 1, 101-113.
32. Lambert, A. O. (1969), A comprehensive rainfall-runoff model for an upland catchment, J. Inst. Water Eng., 23, 231-238.
33. Lambert, A. O. (1972), Catchment models based on ISO functions, J. Inst. Water Eng., 26, 413-422.
34. Laudon, H., J. Seibert, S. Köhler, and K. Bishop (2004), Hydrological flow paths during snowmelt: Congruence between hydrometric measurements and oxygen 18 in meltwater, soil water, and runoff, Water Resour. Res., 40, W03102, doi:10.1029/2003WR002455.
35. Laurenson, E. M. (1964), A catchment storage model for runoff routing, J. Hydrol, 2, 141-163, doi:10.1016/0022-1694(64)90025-3.
36. Linsley, R. K., M. A. Kohler, and J. L. H. Paulhus (1982), Hydrology for Engineers, 508 pp., McGraw-Hill, Toronto, Ont., Canada.
37. Lundquist, J, D., and D. R. Cayan (2002), Seasonal and spatial pattems in diurnal cycles in streamflow in the western United States, J. Hvdrometeorol, 3, 591-603, doi:10.1175/1525-7541(2002)003<0591:SASPID>2.0.CO;2.
38. Lyon, S. W., and P. A. Troch (2007), Hillslope subsurface flow similarity: Real-world tests of the hillslope Péclet number, Water Resour. Res., 43, W07450, doi:10.1029/2006WR005323.
39. Marc, V., and M. Robinson (2007), The long-term water balance (1972-2004) of upland forestry and grassland at Plynlimon, mid-Wales, Hydrol Earth Syst. Sci., 11, 44-60.
40. Mein, R. G., E. M. Laurenson, and T. A. McMahon (1974), Simple nonlinear model for flood estimation, J. Hydraul Div. Am. Soc. Civ. Eng., 100, 1507-1518.
41. Nash, J. E. (1957), The form of the instantaneous unit hydrograph, IASH Publ, 45, 114-121.
42. Nash, J. E. (1959), Systematic determination of unit hydrograph parameters, J. Geophys. Res., 64, 111-115, doi:10.1029/JZ064i001p00l 11.
43. Neal, C. (2004), The water quality functioning of the upper River Severn, Plynlimon, mid-Wales: Issues of monitoring, process understanding and forestry, Hydrol. Earth Syst. Sci., 8, 521-532.
44. Neal. C., and P. T. W. Rosier (1990), Chemical studies of chloride and stable oxygen isotopes in two conifer afforested and moorland sites in the British uplands, J. Hydrol, 115, 269-283, doi:10.1016/0022-1694(90)90209- G.
45. Neal, C, et al. (1997a), The occurrence of groundwater in the lower Palaeozoic rocks of upland Wales, Hydrol Earth Syst. Sci., 1, 3-18.
46. Neal, C, J. Wilkinson, M Neal, M. Harrow, H. Wickham, L. Hill, and C. Morfitt (1997b), The hydrochemistry of the River Severn, Plynlimon, Hydrol. Earth Syst. Sci., 1, 583-617.
47. Perrin, C., C. Michel, and V. Andreassian (2001), Does a large number of parameters enhance model performance? Comparative assessment of common catchment model structures on 429 catchments, J. Hydrol, 242, 275-301, doi:10.1016/S0022-1694(00)00393-0.
48. Rinaldo, A., A. Marani, and R. Rigon (1991), Geomorphological dispersion, Water Resour. Res., 27, 513-525, doi:10.1029/90WR02501.
49. Robinson, M., and A. Dupeyrat (2005), Effects of commercial timber harvesting on streamflow regimes in the Plynlimon catchments, mid-Wales, Hydrol Processes, 19, 1213-1226, doi:10.1002/hyp.5561.
50. Rodriguez-Iturbe, I., and J. B. Valdes (1979), The geomorphologic structure of hydrologic processes, Water Resour. Res., 15, 1409-1420, doi:10.1029/WR015i006p01409.
51. Rogers, C. C. M., K. J. Beven, E. M. Morris, and M. G. Anderson (1985), Sensitivity analysis, calibration and predictive uncertainty of the Institute of Hydrology distributed model, J. Hvdrol, 81, 179-191, doi:10.1016/0022-1694(85)90175-1.
52. Rupp, D. E., and J. S. Selker (2005), Drainage of a horizontal Boussinesq aquifer with a power law hydraulic conductivity profile. Water Resour. Res., 41, W11422, doi:10.1029/2005WR004241.
53. Rupp, D. E., and J. S. Selker (2006a), Information, artifacts, and noise in dQ/dt - Q recession analysis, Adv. Water Resour., 29, 154-160, doi:10.1016/j.advwatres.2005.03.019.
54. Rupp, D. E., and J. S. Selker (2006b), On the use of the Boussinesq equation for interpreting recession hydrographs from sloping aquifers, Water Resour. Res., 42, W12421, doi:10.1029/2006WR005080.
55. Rupp, D. E., and R. A. Woods (2008), Increased flexibility in base flow modelling using a power law transmissivity profile, Hydrol Processes, 22, 2667-2671, doi:10.1002/hyp.6863.
56. Seibert, J. (2003), Reliability of model predictions outside calibration conditions, Nord. Hydrol, 34, 477-492.
57. Shand, P., A. H. Haria, C. Neal, K. J. Griffiths, D. C. Gooddy, A. J. Dixon, T. Hill, D. K. Buckley, and J. E. Cunningham (2005), Hydrochemical heterogeneity in an upland catchment: Further characterisation of the spatial, temporal, and depth variations in soils, streams, and groundwaters of the Plynlimon forested catchment, Wales, Hydrol Earth Syst. Sci., 9, 621-644.
58. Sherlock, M. D., N. A. Chappell, and J. J. McDonnell (2000), Effects of experimental uncertainty on the calculation of hillslope flow paths, Hydrol Processes, 14, 2457-2471, doi:10.1002/1099-1085(20001015)14:14<2457::A1D- HYP106>3.0.CO;2-I.
59. Sklash, M. G., K. J. Beven, K. Gilman, and W. G. Darling (1996), Isotope studies of pipeflow at Plynlimon, Wales, UK, Hydrol. Processes, 10, 921-944, doi:10.1002/(SIC1)1099-1085(199607)10:7<921::AID-HYP3477lt;3.0. CO;2-B.
60. Smakhtin, V. U. (2001), Low flow hydrology: A review, J. Hydrol, 240, 147-186, doi:10.1016/S0022-1694(00)00340-1.
61. Spence, C. (2007), On the relation between dynamic storage and runoff: A discussion on thresholds, efficiency, and function, Water Resour. Res., 43, W12416, doi.T0.1029/2006WR005645.
62. Szilagyt, J., Z. Gribovszki, and P. Kalicz (2007), Estimation of catchment-scale evapotranspiration from baseflow recession data: Numerical model and practical application results, J. Hydrol, 336, 206-217, doi:10.1016/j.jhydrol.2007.01.004.
63. Tague, C., and G. E. Grant (2004), A geological framework for interpreting the low-flow regimes of Cascade streams, Willamette River Basin, Oregon, Water Resour. Res., 40, W04303, doi:10.1029/2003WR002629.
64. Tallaksen, L. M. (1995), A review of baseflow recession analysis, J. Hydrol, 165, 349-370, doi:10.1016/0022-1694(94)02540-R.
65. Troch, P. A., F. P. De Troch, and W. Brutsaert (1993), Effective water table depth to describe initial conditions prior to storm rainfall in humid regions, Water Resour. Res., 29, 427-434, doi:10.1029/92WR02087.
66. Tschinkel, H. M. (1963), Short-term fluctuation in streamflow as related to evaporation and transpiration, J. Geophys. Res., 68, 6459-6469.
67. Uchida, T., J. J. McDonnell, and Y. Asano (2006), Functional intercomparison of hillslopes and small catchments by examining water source, flowpath and mean residence time, J. Hydrol., 327, 621-642, doi:10.1016/j.jhydrol. 2006.02.037.
68. Van de Grind, A. A., J. J. De Vries, and E. Seyhan (2002), Groundwater discharge from areas with variable specific drainage resistance, J. Hydrol, 259, 203-220, doi:10.1016/S0022-1694(01)00583-2.
69. van der Tak, L. D., and R. L. Bras (1990), Incorporating hillslope effects into the geomorphologic instantaneous unit hydrograph, Water Resour. Res., 21, 743-754.
70. Wittenberg, H. (1999), Baseflow recession and recharge as nonlinear storage processes, Hydrol. Processes, 13, 715-726, doi:10.1002/(SICI) 1099-1085(19990415)13:5<715::AID-HYP775>3.0.CO;2-N.
71. Wittenberg, H. (2003), Effects of season and man-made changes on base-flow and flow recession: Case studies, Hydrol. Processes, 17, 2113-2123, doi:10.1002/hyp. 1324.
72. Wittenberg, H., and M. Sivapalan (1999), Watershed groundwater balance estimation using streamflow recession analysis and baseflow separation, J. Hydrol., 219, 20-33. doi:10.1016/S0022-1694(99)00040-2.