Physics-based hydrologic-response simulation: Seeing through the fog of equifinality

Hydrological Processes

Volumn 20, Issue 13, 2006, Pages 2887-2900

  Ebel, Brian A ^a   Loague, Keith ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747453823     PISSN: 08856087     EISSN: 10991085     Source Type: Journal    
DOI: 10.1002/hyp.6388     Document Type: Note

References (115)

1. Aktosun T, Newton RG. 1985. Non-uniqueness in the one-dimensional inverse scattering problem. Inverse Problems 1: 291-300.
2. Allison H. 1979. Inverse unstable problems and some of their applications. The Mathematical Scientist 4: 9-30.
3. Ambroise B, Beven KJ, Freer J. 1996a. Toward a generalization of the TOPMODEL concepts: Topographic indices of hydrological similarity. Water Resources Research 32: 2135-2145.
4. Ambroise B, Freer J, Beven KJ. 1996b. Application of a generalised TOPMODEL to the small ringelbach catchment, Vosges, France. Water Resources Research 32: 2147-2159.
5. Anderson SP. 1995. Flow paths, solute sources, weathering, and denudation rates: The chemical geomorphology of a small catchment. PhD Dissertation, University of California, Berkeley.
6. Anderson SP, Dietrich WE. 2001. Chemical weathering and runoff chemistry in a steep headwater catchment. Hydrological Processes 15: 1791-1815.
7. Anderson SP, Dietrich WE, Brimhall GH. 2002. Weathering profiles, mass balance analysis, and rates of solute loss: Linkages between weathering and erosion in a small, steep catchment. Geological Society of America Bulletin 114: 1143-1158.
8. Anderson SP, Dietrich WE, Montgomery DR, Torres R, Loague K. 1993. A case for geochemical control of concentration- discharge relationships. Chemical Geology 107: 369-371.
9. Anderson SP, Dietrich WE, Montgomery DR, Torres R, Loague K. 1997a. Concentration discharge relationships in runoff from a steep, unchanneled catchment. Water Resources Research 33: 211-225.
10. Anderson SP, Dietrich WE, Montgomery DR, Torres R, Conrad ME, Loague K. 1997b. Subsurface flowpaths in a steep, unchanneled catchment. Water Resources Research 33: 2637-2653.
11. Anderssen RS. 1968. Note on conductivity models for the earth. Journal of Geophysical Research 73: 6535-6543.
12. Aronica G, Hankin B, Beven K. 1998. Uncertainty and equifinality in calibrating distributed roughness coefficients in a flood propagation model with limited data. Advances in Water Resources 22: 349-365.
13. Beck MB. 2002. We have a problem. In Environmental Foresight and Models: A Manifesto, Beck MB (ed). Elsevier Science: Amsterdam, 11-33.
14. Beven KJ. 1989. Changing ideas in hydrology: the case of physically-hased models. Journal of Hydrology 105: 157-172.
15. Beven K. 1996a. Equifinality and uncertainty in geomorphological modeling. In The Scientific Nature of Geomorphology, Rhoads BL, Thorn CE (eds). Wiley: Chichester, 289-313.
16. Beven K. 1996b. A discussion of distributed hydrological modelling. In Distributed Hydrological Modelling, Abbott MB, Refsgaard JC (eds). Kluwer Academic Publishers: Dordrecht, 255-278.
17. Beven KJ. 1997. TOPMODEL: A critique. Hydrological Processes 11: 1069-1086.
18. Beven KJ. 2000. Uniqueness of place and process representations in hydrological modeling. Hydrology and Earth System Sciences 4: 203-213.
19. Beven K. 2002a. Towards an alternative blueprint for a physically based digitally simulated hydrologic response modelling system. Hydrological Processes 16: 189-206.
20. Beven K. 2002b. Towards a coherent philosophy for modelling the environment. Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences 458: 2465-2484.
21. Beven K. 2004a. Infiltration excess at the Horton hydrology laboratory (or not?). Journal of Hydrology 293: 219-234.
22. Beven K. 2004b. Erratum to Infiltration excess at the Horton hydrology laboratory (or not?). Journal of Hydrology 294: 294-295.
23. Beven K. 2004c. Robert Horton and abrupt rises of groundwater. Hydrological Processes 18: 3687-3696.
24. Beven K. 2004d. Robert Horton's perceptual model of infiltration processes. Hydrological Processes 18: 3447-3460.
25. Beven KJ (ed). 2006a. Streamflow Generation Processes. IAHS Press: Wallingford, Oxfordshire.
26. Beven K. 2006b. A manifesto for the equifinality thesis. Journal of Hydrology 320: 18-36.
27. Beven K, Freer J. 2001. Equifinality, data assimilation, and uncertainty estimation in mechanistic modeling of complex environmental systems using the GLUE methodology. Journal of Hydrology 249: 11-29.
28. Binley A, Beven KJ. 2003. Vadose zone model uncertainty as conditioned on geophysical data. Ground Water 41: 119-127.
29. Bird P, Rosenstock RW. 1984. Kinematics of present crust and mantle flow in Southern California. Geological Society of America Bulletin 95: 946-957.
30. Blazkova S, Beven KJ. 2002. Flood frequency estimation by continuous simulation for a catchment treated as ungauged (with uncertainty). Water Resources Research 38: 14, 10-1029/2001WR000500.
31. Blazkova S, Beven KJ, Kulasova A. 2002. On constraining TOPMODEL hydrograph simulations using partial saturated area information. Hydrological Processes 16: 441-458.
32. Bloschl G. 2006. Hydrologic synthesis: Across processes, places, and scales. Water Resources Research 42: W03S02, DOI:10.1029/2005WR004319.
33. Brazier RE, Beven KJ, Freer J, Rowan JS. 2000. Equifinality and uncertainty in physically based soil erosion models: Application of the GLUE methodology to WEPP - The water erosion prediction project - For sites in the UK and USA. Earth Surface Processes and Landforms 25: 825-845.
34. Bredehoeft J. 2005. The conceptualization model problem -surprise. Hydrogeology Journal 13: 37-46.
35. Burt TP. 2005. A third paradox in catchment hydrology and biogeochemistry: Decoupling in the riparian zone. Hydrological Processes 19: 2087-2089.
36. Carrera J, Neuman SP. 1986. Estimation of aquifer parameters under transient and steady state conditions: Uniqueness, stability, and solution algorithms. Water Resources Research 22: 211-227.
37. Chavent G. 1974. Identification of functional parameters in partial differential equations. In Identification of Parameters in Distributed Systems, Goodson RE, Polis M (eds). American Society of Mechanical Engineers: New York, 31-48.
38. Christiaens K, Feyen J. 2002. Constraining soil hydraulic parameter and output uncertainty of the distributed hydrological MIKE SHE model using the GLUE framework. Hydrological Processes 16: 373-391.
39. Church M. 2005. Continental drift. Earth Surface Processes and Landforms 30: 129-130.
40. Cooley RL, Sinclair P. 1976. Uniqueness of a model of steady-state groundwater flow. Journal of Hydrology 31: 245-269.
41. Culling WEH. 1987. Equifinality: Modern approaches to dynamical systems and their potential for geographical thought. Transactions of the Institute of British Geographers 12: 57-72.
42. Dooge JC. 1972. Mathematical models of hydrological systems. Proceedings of the Symposium on Modelling Techniques in Water Resources Systems, vol. 1. Environment Canada: Ottawa, 171-189.
43. Doty DH, Glick WH, Huber GP. 1993. Fit, equifinality, and organizational effectiveness: A test of two configurational theories. Academy of Management Journal 36: 1196-1250.
44. Ebel BA, Loague K, Dietrich WE, Montgomery DR, Torres R, Anderson SP, Giambelluca TW. 2006a. Near-surface hydrologic response for a steep, unchanneled catchment near Coos Bay, Oregon: 1. Sprinkling experiments. American Journal of Science (to be submitted).
45. Ebel BA, Loague K, VanderKwaak JE, Dietrich WE, Montgomery DR, Torres R, Anderson SP. 2006b. Near-surface hydrologic response for a steep, unchanneled catchment near Coos Bay, Oregon: 2. Comprehensive physics-based simulations. American Journal of Science (to be submitted).
46. Falkovich G, Sreenivasan KR. 2006. Lessons from hydrodynamic turbulence. Physics Today 59: 43-49.
47. Feyen L, Beven KJ, De Smedt F, Freer J. 2001. Stochastic capture zones delineated within the generalized likelihood uncertainty estimation methodology: conditioning on head observations. Water Resources Research 37: 625-638.
48. Freeze RA. 1971. Three-dimensional, transient, saturated- unsaturated flow in a groundwater basin. Water Resources Research 7: 347-366.
49. Freeze RA. 1972a. Role of subsurface flow in generating surface runoff, 1, Base flow contributions to channel flow. Water Resources Research 8: 609-623.
50. Freeze RA. 1972b. Role of subsurface flow in generating surface runoff, 2, Upstream source areas. Water Resources Research 8: 1272-1283.
51. Gottlieb G. 2001. The relevance of developmental-psychobiological metatheory to developmental neuropsychology. Developmental Neuropsychology 19: 1-9.
52. Gresov C, Drazin R. 1997. Equifinality: Functional equivalence in organization design. Academy of Management Review 22: 403-428.
53. Gupta VK, Sorooshian S. 1983. Uniqueness and observability of conceptual rainfall-runoff model parameters; the percolation process examined. Water Resources Research 19: 269-276.
54. Hadamard J. 1902. Sur les probl'emes aux derivees partielles et leur signification physique. Princeton University Bulletin 13: 49-52.
55. Haines-Young RH, Petch JR. 1983. Multiple working hypotheses: Equifinality and the study of landforms. Transactions of the Institute of British Geographers 8: 458-466.
56. Hall FR. 1987. Contributions of Robert E. Horton. In The History of Hydrology, Landa ER, Ince S (eds). American Geophysical Union: Washington, 113-117.
57. Hankin BG, Beven KJ. 1998. Modelling dispersion in complex open channel flows: Equifinality of model structure (1). Stochastic Hydrology and Hydraulics 12: 377-396.
58. Heppner CS, Ran Q, VanderKwaak JE, Loague K. 2006a. Adding sediment transport to the integrated hydrology model (InHM): Development and testing. Advances in Water Resources 9: 930-943.
59. Heppner CS, Loague K, VanderKwaak JE. 2006b. Hydrologic response and sediment transport for the R-5 catchment: 2. Long-terms simulations with InHM. Earth Surface Processes and Landforms (submitted).
60. Hreiche A, Mezher D, Bocquillon C, Dezetter A, Servant E, Najem W. 2002. Parallel processing for a better understanding of equifinality in hydrological models. In Integrated Assessment and Decision Support, Rizzoli AE, Jakeman AJ (eds). International Environmental Modelling and Software Society: Switzerland, 410-415.
61. Jones JP, Sudicky EA, Brookfield AE, park Y-J. 2006. An assessment of the tracer-based approach to quantifying groundwater contributions to streamflow. Water Resources Research 42: W02 407, DOI:10.1029/ 2005WR004130.
62. Khatibi RH, Wormleaton PR, Williams JR. 2000. Parameter quality conditions in open-channel inverse problems. Journal of Hydraulic Research 38: 447-458.
63. Kirchner JW. 2006. Getting the right answers for the right reasons: Linking measurements, analyses, and models to advance the science of hydrology. Water Resources Research 42: W03S04, DOI:10.1029/2005WR004362.
64. Kirkby MJ. 1975. Hydrograph modeling strategies. In Process in Physical and Human Geography, Peel R Chisolm M, Hagett P (eds). Heinemann: London, 69-90.
65. Kirkby MJ. 1996. A role for theoretical models in geomorphology? In The Scientific Nature of Geomorphology: Proceedings of the 27th Binghamton Symposium in Geomorphology, Rhoads BL, Thorn CE (eds). John Wiley and Sons: New York, 257-272.
66. Klemes V. 1997. Of carts and horses in hydrologic modeling. Journal of Hydrologic Engineering 2: 43-49.
67. Konikow LF. 1986. Predictive accuracy of a ground-water model-lessons from a postaudit. Ground Water 24: 173-184.
68. Konikow LF, Bredehoeft JD. 1992. Groundwater models cannot be validated. Advances in Water Resources 15: 75-83.
69. Lamb R, Beven KJ, Myrabo S. 1998. Use of spatially distributed water table observations to constrain uncertainty in a rainfall-runoff model. Advances in Water Resources 22: 305-317.
70. Leliavsky S. 1965. River and Canal Hydraulics. Chapman and Hall: London.
71. Loague K, Green RE. 1991. Statistical and graphical methods for evaluating solute transport models: Overview and application. Journal of Contaminant Hydrology 7: 51-73.
72. Loague K, VanderKwaak JE. 2002. Simulating hydrologic response for the R-5 catchment: Comparison of two models and the impact of the roads. Hydrological Processes 16: 1015-1032.
73. Loague K, VanderKwaak JE. 2004. Physics-based hydrologic response simulation: Platinum bridge, 1958 Edsel, or useful tool. Hydrological Processes 18: 2949-2956.
74. Loague K, Heppner CS, Abrams RH, VanderKwaak JE, Carr AE, Ebel BA. 2005. Further testing of the Integrated Hydrology Model (InHM): Event-based simulations for a small rangeland catchment located near Chickasha, Oklahoma. Hydrological Processes 19: 1373-1398.
75. Loague K, Heppner CS, Mirus BB, Ebel BA, Ran Q, Carr AE, BeVille SH, VanderKwaak JE. 2006. Physics-based hydrologic-response simulation: Foundation for hydroecology and hydrogeomorphology. Hydrological Processes 20: 1231-1237.
76. McClure J, Densley L, Liu JH, Allen M. 2001. Constraints on equifinality: Goals are good explanations only for controllable outcomes. British Journal of Social Psychology 40: 99-115.
77. McDonnell JJ. 2003. Where does water go when it rains? Moving beyond the variable source area concept of rainfall-runoff response. Hydrological Processes 17: 1869-1875.
78. McElwee CD. 1982. Sensitivity analysis and the groundwater inverse problem. Ground Water 20: 723-735.
79. Mirus BB, Ebel BA, Loague K, Wemple BC. 2006. Simulated effect of a forest road on near-surface hydrologic response: Redux. Earth Surface Processes and Landforms (in press).
80. Mohanty BP, Ankeny MD, Horton R, Kanwar RS. 1994. Spatial analysis of hydraulic conductivity measured using disc infiltrometers. Water Resources Research 30: 2489-2498.
81. Montgomery DR. 1991. Channel initiation and landscape evolution. PhD Dissertation, University of California, Berkeley.
82. Montgomery DR, Dietrich WE. 2002. Runoff generation in a steep, soil-mantled landscape. Water Resources Research 38: 168: DOI:10.1029/ 2001WR000822.
83. Montgomery DR, Dietrich WE, Heffner JT. 2002. Piezometric response in shallow bedrock at CB1: Implication for runoff generation and landsliding. Water Resources Research 38: 1274, DOI:10.1029/2002WR001429.
84. Montgomery DR, Dietrich WE, Torres R, Anderson SP, Heffner JT, Loague K. 1997. Hydrologic response of a steep, unchanneled valley to natural and applied rainfall. Water Resources Research 33: 91-109.
85. Nash JE, Sutcliffe JV. 1970. River flow forecasting through conceptual models, Part I-A discussion of principles. Journal of Hydrology 10: 282-290.
86. Neuman SP. 1973. Calibration of distributed parameter groundwater flow models viewed as a multi-objective decision process under uncertainty. Water Resources Research 9: 1006-1021.
87. Neuman SP, Guadagnini A. 1999. A new look at traditional deterministic flow models and their calibration in the context of randomly heterogeneous media. In Proceedings of the International Conference on Calibration and Reliability in Groundwater Modeling, ModelCARE99: Zurich; 189-197.
88. Oreskes N, Schrader-Frechette K, Belitz K. 1994. Verification, validation, and confirmation of numerical models in the earth sciences. Science 263: 641-644.
89. Panday S, Huyakorn PS. 2004. A fully coupled physically-based spatially-distributed model for evaluating surface/subsurface flow. Advances in Water Resources 27: 361-382.
90. Paola C, Foufoula-Georgiou E, Dietrich WE, Hondzo M, Mohrig D, Parker G, Power ME, Rodriguez-Iturbe I, Voller V, Wilcox P. 2006. Toward a unified science of the earth's surface: Opportunities for synthesis among hydrology, geomorphology, geochemistry, and ecology. Water Resources Research 42: W03S10, DOI:10.1029/2005WR004336.
91. Pebesma EJ, Switzer P, Loague K. 2005. Error analysis for the evaluation of model performance: Rainfall-runoff event time series data. Hydrological Processes 19: 1529-1548.
92. Pebesma EJ, Switzer P, Loague K. 2006. Error analysis for the evaluation of model performance: Rainfall-runoff event summary variables. Hydrological Processes (in press).
93. Richards LA. 1931. Capillary conduction of liquids through porous mediums. Physics 1: 318-333.
94. Rogers AR. 2000. On equifinality in faunal analysis. American Antiquity 65: 709-723.
95. Roy A. 1962. Ambiguity in geophysical interpretation. Geophysics 27: 90-99.
96. Saulnier GM, Datin R. 2004. Analytical solution to a bias in the TOPMODEL framework balance. Hydrological Processes 18: 1195-1218.
97. Savenije HHG. 2001. Equifinality, a blessing in disguise? Hydrological Processes 15: 2835-2838.
98. Schulz K, Beven K, Huwe B. 1999. Equifinality and the problem of robust calibration in nitrogen budget simulations. Soil Science Society of America Journal 63: 1934-1941.
99. Sidle RC. 2006. Field observations and process understanding in hydrology: Essential components in scaling. Hydrological Processes 20: 1439-1445.
100. Sorooshian S, Gupta VJ. 1983. Automatic calibration of conceptual rainfall-runoff models: The question of parameter observability and uniqueness. Water Resources Research 19: 260-268.
101. Sorooshian S, Gupta VJ, Fulton JL. 1983. Evaluation of maximum likelihood parameter estimation techniques for conceptual rainfall-runoff models: Influence of calibration data variability and length on model credibility. Water Resources Research 19: 251-259.
102. Stephenson GR, Freeze RA. 1974. Mathematical simulation of subsurface flow contributions to snowmelt runoff, Reynolds Creek, Idaho. Water Resources Research 10: 294-298.
103. Sudicky EA, Therrien R, Park Y-J, McLaren RG, Jones JP, Lemieux J-M, Brookfield AE, Colautti D, Panday S, Guvanasen V. 2005. On the challenge of integrated surface-subsurface flow and transport modelling at multiple catchment scales. Geological Society of America Abstracts with Programs 37: 28.
104. Torres R. 1997. Unsaturated zone processes and the hydrologic response of a steep, unchanneled valley. PhD Dissertation, University of California, Berkeley.
105. Torres R, Dietrich WE, Montgomery DR, Anderson SP, Loague K. 1998. Unsaturated zone processes and the hydrologic response of a steep, unchanneled catchment. Water Resources Research 34: 1865-1879.
106. VanderKwaak JE. 1999. Numerical simulation of flow and chemical transport in integrated surface-subsurface hydrologic systems. PhD dissertation, University of Waterloo: Waterloo, Ontario.
107. VanderKwaak JE, Loague K. 2001. Hydrologic-response simulations for the R-5 catchment with a comprehensive physics-based model. Water Resources Research 37: 999-1013.
108. Vertessy RA, Elsenbeer H. 1999. Distributed modeling of storm flow generation in an Amazonian rain forest catchment: Effects of model parameterization. Water Resources Research 35: 2173-2187.
109. Weiler M, McDonnell JJ. 2004. Virtual experiments: a new approach for improving process conceptualization in hillslope hydrology. Journal of Hydrology 285: 3-18, DOI:10.1016/S00221694(03)00271-3.
110. Wierenga PJ, Toorman AF, Hudson DB, Vinson J, Nash M, Hills RG. 1989. Soil physical properties and the Las Cruces trench site. Report NUREG/ CR-5441. U.S. Nuclear Regulatory Commission, Washington, DC.
111. Wigmosta MS, Lettenmaier DP. 1999. A comparison of simplified methods for routing topographically-driven subsurface flow. Water Resources Research 35: 255-264.
112. Yeh WWG. 1986. Review of parameter identification procedures in groundwater hydrology: The inverse problem. Water Resources Research 22: 95-108.
113. Young P, Parkinson S, Lees M. 1996. Simplicity out of complexity in environmental modelling: Occam's razor revisited. Journal of Applied Statistics 23: 165-210.
114. Zak S, Beven KJ. 1999. Equifinality, sensitivity and uncertainty in the estimation of critical loads. Science of the Total Environment 236: 191-214.
115. Zimmerman DM, de Marsily G, Gotway CA, Marietta MG, Axness CL, Beauheim RL, Bras RL, Carrera J, Dagan G, Davies PB, Gallegos DP, Galli A, Gómez-Hernández J, Grindrod P, Gutjahr AL, Kitanidis PK, Lavenue AM, McLaughlin D, Neuman SP, RamaRao BS, Ravenne C, Rubin Y. 1998. A comparison of seven geostatistically based inverse approaches to estimate transmissivities for modeling advective transport by groundwater flow. Water Resources Research 34: 1373-1413.