Modelling and Model Building

Environmental Modelling: Finding Simplicity in Complexity: Second Edition

Volumn , Issue , 2013, Pages 7-26

  Mulligan, Mark ^a   Wainwright, John ^b  

^a KING'S COLLEGE LONDON   (United Kingdom)

^b DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Environmental modelling; Errors; Model building; Model testing; Sensitivity analysis; Uncertainty

Indexed keywords

EID: 84886334206     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9781118351475.ch2     Document Type: Chapter

References (89)

1. Aber, J. (1997) Why don't we believe the models? Bulletin of the Ecological Society of America, 78, 232-3.
2. Aber, J. (1998) Mostly a misunderstanding, I believe. Bulletin of the Ecological Society of America, 79, 256-7.
3. Baker, V.R. (1998) Paleohydrology and the hydrological sciences, in Palaeohydrology and Environmental Change (eds G. Benito, V.R Baker and K.J. Gregory), John Wiley&Sons, Ltd, Chichester, pp. 1-10.
4. Baker, V.R. (2000) South American palaeohydrology: future prospects and global perspective. Quaternary International, 72, 3-5.
5. Barahona, E. and Iriarte, U.A. (2001) An overview of the present state of standardization of soil sampling in Spain. The Science of the Total Environment, 264, 169-74
6. Bärlund, I. and Tattari, S. (2001) Ranking of parameters on the basis of their contribution to model uncertainty. Ecological Modelling, 142, 11-23.
7. Beck, M.B. (1987) Water quality modelling: a review of the analysis of uncertainty. Water Resources Research, 23, 1393-442.
8. Beven, K. (1992) Future of distributed modelling (editorial). Hydrological Processes 6, 279-98.
9. Blackie, J.R. and Eeles, C.W.O. (1985) Lumped catchment models, in Hydrological Forecasting (eds M.G. Anderson and T.P. Burt), John Wiley & Sons, Ltd, Chichester, pp. 311-45.
10. Botterweg, P. (1995) The user's influence on model calibration results: an example of the model SOIL, independently calibrated by two users. Ecological Modelling, 81, 71-81.
11. Brown, A.G. (2011) The Anthropocene-a sedimentary perspective. Geoscientist, July, 22.
12. Brown, T.N. and Kulasiri, D. (1996) Validating models of complex, stochastic, biological systems. Ecological Modelling, 86, 129-34.
13. Bueso, M.C., Angulo, J.M. and Alonso, F.J. (1998) A state-space model approach to optimum spatial sampling design based on entropy. Environmental and Ecological Statistics, 5, 29-44.
14. Burke, S., Mulligan, M. and Thornes, J.B. (1998) Key parameters that control recharge at a catchment scale: using sensitivity analysis and path analysis to define homogenous recharge classes, in Hydrology in a Changing Environment. Volume II(H.S. Wheater and C. Kirby), John Wiley & Sons, Ltd, Chichester, pp. 229-43.
15. Chao, C.T. and Thompson, S.K. (2001) Optimal adaptive selection of sampling sites. Environmetrics 12, 517-38.
16. Cheng, C.T., Ou, C.P. and Chau, K.W. (2002) Combining a fuzzy optimal model with a genetic algorithm to solve multi-objective rainfall-runoff model calibration. Journal of Hydrology, 268, 72-86.
17. Cohn, J.P. (2002) Biosphere 2: turning an experiment into a research station. BioScience, 52, 218-23.
18. Collins, L. (1975) An Introduction to Markov Chain Analysis. Geo Abstracts, Norwich.
19. Cross, M. and A.O. Moscardini, (1985) Learning the Art of Mathematical Modelling John Wiley & Sons, Chichester.
20. Crutzen, P.J. (2002) Geology of mankind. Nature, 415, 23.
21. Dale, V.H. and Van Winkle, W. (1998) Models provide understanding, not belief. Bulletin of the Ecological Society of America, 79, 169-70.
22. Eckhardt, K. and Arnold, J.G. (2001) Automatic calibration of a distributed catchment model. Journal of Hydrology, 251, 103-9.
23. Fishman, G.S. and Kiviat, P.J. (1968) The statistics of discrete-event simulation. Simulation, 10, 185-91.
24. French, R.H. (1986) Open-Channel Hydraulics, McGraw Hill, New York.
25. Govindasamy, B., Caldeira, K. and Duffy, P.B. (2003) Geoengineering Earth's radiation balance to mitigate climate change from a quadrupling of CO2. Global and Planetary Change, 771, 1-12.
26. Grayson, R.B., Moore, I.D. and McMahon, T.A. (1992a) Physically based hydrologic modelling. 1. A terrain-based model for investigative purposes. Water Resources Research, 28, 2639-58.
27. Grayson, R.B., Moore, I.D. and McMahon, T.A. (1992b) Physically based hydrologic modelling. 2. Is the concept realistic? Water Resources Research, 28, 2659-66.
28. Hall, G.W (2001) Elevated atmospheric CO2 alleviates drought stress in wheat. Agriculture, Ecosystems and Environment, 87, 261-71.
29. Hall, J. and Anderson, M.G. (2002) Handling uncertainty in extreme or unrepeatable hydrological processes-the need for an alternative paradigm. Hydrological Processes, 16, 1867-70.
30. Hamby, D.M. (1994)Areview of techniques for parameter sensitivity analysis of environmental models. Environmental Monitoring and Assessment, 32, 135-54.
31. Hansen, D.P., Ye, W., Jakeman, A.J. (1996) Analysis of the effect of rainfall and streamflow data quality and catchment dynamics on streamflow prediction using the rainfall-runoff model IHACRES. Environmental Software, 11, 193-202.
32. Harding, S. (1976) Can Theories Be Refuted? Essays on the Duhem-Quine Thesis. Reidel, Dordrecht.
33. Harte, J. (1985) Consider a Spherical Cow. A Course in Environmental Problem Solving. William Kaufmann Inc., Los Altos, CA.
34. Haykin, S. (1999) Neural Networks. A Comprehensive Foundation, 2nd edn, Prentice Hall, Upper Saddle River, NJ.
35. Henebry, G.M. (1995) Spatial model error analysis using autocorrelation indices. Ecological Modelling, 82, 75-91.
36. Hofstadter, D.R. (1979) Gödel, Escher, Bach: An Eternal Golden Braid, Penguin Books, Harmondsworth.
37. Imai T., Sakayama, T. and Kanemori, T. (1987) Use of groundprobing radar and resistivity surveys for archaeological investigations. Geophysics, 52, 137-50.
38. Kirkby, M.J., Naden, P.S., Burt, T.P. and Butcher, D.P. (1992) Computer Simulation in Physical Geography. John Wiley & Sons, Chichester.
39. Klemeš, V. (1983) Conceptualization and scale in hydrology. Journal of Hydrology, 65, 1-23.
40. Klemeš, V. (1997) Of carts and horses in hydrological modelling. Journal of Hydrologic Engineering, 1, 43-9.
41. Klepper, O. (1997) Multivariate aspects of model uncertainty analysis: tools for sensitivity analysis and calibration. Ecological Modelling, 101, 1-13.
42. Lane, S.N. and Richards, K.S. (2001) The 'validation'of hydrodynamic models: some critical perspectives, in Model Validation: Perspectives in Hydrological Science (eds M.G. Anderson and P.D. Bates), John Wiley & Sons, Chichester, pp. 413-38.
43. Lark, R.M. (2001) Some tools for parsimonious modelling and interpretation of within-field variation of soil and crop systems. Soil and Tillage Research, 58, 99-111.
44. Madsen, H. (2000) Automatic calibration of a conceptual rainfall-runoff model using multiple objectives. Journal of Hydrology, 235, 276-88.
45. Madsen, H. (2003) Parameter estimation in distributed hydrological catchment modelling using automatic calibration with multiple objectives. Advances in Water Resources, 26, 205-16.
46. May, W. and Roeckner, E. (2001) A time-slice experiment with the ECHAM 4 AGCM at high resolution: the impact of horizontal resolution on annual mean climate change. Climate Dynamics, 17, 407-20.
47. Mellett, J.S. (1995) Ground-penetrating radar applications in engineering, environmental management and geology. Journal of Applied Geophysics, 33, 157-66.
48. Michaelides, K. and Wainwright, J. (2002) Modelling the effects of hillslope-channel coupling on catchment hydrological response. Earth Surface Processes and Landforms, 27, 1441-58.
49. Mode, N.A., Conquest, L.L. and Marker, D.A. (1999) Ranked set sampling for ecological research: accounting for the total costs of sampling. Environmetrics 10, 179-94.
50. Mode, N.A., L.L. Conquest and Marker, D.A. (2002) Incorporating prior knowledge in environmental sampling: ranked set sampling and other double sampling procedures. Environmetrics, 13, 513-21.
51. Monte, L., Håkanson, L., Bergström, U. et al. (1996) Uncertainty analysis and validation of environmental models: the empirically based uncertainty analysis. Ecological Modelling, 91, 139-52.
52. Morton, A. and Suárez, M. (2001) Kinds of models, in Model Validation: Perspectives in Hydrological Science (eds M.G. Anderson and P.D. Bates), John Wiley & Sons, Ltd, Chichester, pp. 11-21.
53. Mulligan, M. (1996) Modelling the complexity of landscape response to climatic variability in semi arid environments, in Advances in Hillslope Processes (eds M.G. Anderson and S.M. Brooks), John Wiley & Sons, Ltd, Chichester, pp. 1099-149.
54. Mulligan, M. (1998) Hydrology in a varying as well as changing environment, in Hydrology in a Changing Environment. Volume II (eds H.S. Wheater and C. Kirby), John Wiley & Sons, Ltd, Chichester, pp. 591-604.
55. Mulligan, M. and Wainwright, J. (2012) Building Environmental Models: A Primer on Simplifying Complexity, John Wiley & Sons, Ltd, Chichester.
56. Musters, P.A.D. and Bouten, W. (2000) A method for identifying optimum strategies of measuring soil water contents for calibrating a root water uptake model. Journal of Hydrology, 227, 273-86.
57. Nicollin, F. and Kofman, W. (1994) Ground-penetrating radar sounding of a temperate glacier-modelling of a multilayered medium. Geophysical Prospecting, 42, 715-34.
58. Oreskes, N. and Berlitz, K. (2001) Philosophical issues in model assessment, in Model Validation: Perspectives in Hydrological Science (eds M.G. Anderson and P.D. Bates), John Wiley & Sons, Ltd, Chichester, pp. 23-41.
59. Oreskes, N., Shrader-Frechette, K. and Bellitz, K. (1994) Verification, validation and confirmation of numerical models in the Earth sciences. Science, 263, 641-6.
60. Özelkan, E.C. and Duckstein, L. (2001) Fuzzy-conceptual rainfallrunoff models. Journal of Hydrology, 253, 41-68.
61. Parsons, A.J., J. Wainwright, Abrahams, A.D. and Simanton, J.R. (1997) Distributed dynamic modelling of interrill overland flow. Hydrological Processes, 11, 1833-59.
62. Parysow, P., Gertner, G. and Westervelt, J. (2000) Efficient approximation for building error budgets for process models. Ecological Modelling, 135, 111-25.
63. Ratto, M., Tarantola, S. and Saltelli, A. (2001) Sensitivity analysis in model calibration: GSA-GLUE approach. Computer Physics Communications. 136, 212-24.
64. Rayner, S. and Malone, E.L. (1998) Human Choice and Climate Change. Volume 1. Batelle Press, Columbus, OH.
65. Refsgaard, J.C. and Storm, B. (1996) Construction, calibration and validation of hydrological models, in Distributed Hydrological Modelling (eds M.B. Abbott and J.C. Refsgaard), Reidel, Dordrecht, pp. 41-5.
66. Ruddiman, W.F. (2007) Earth's Climate: Past and Future, 2nd edition, W.H. Freeman, New York.
67. RykielJr, E.J. (1996) Testing ecological models: the meaning of validation. Ecological Modelling, 90, 229-44.
68. Saltelli, A., Chan, K. and Scott, M. (2000) Sensitivity Analysis, John Wiley & Sons, Ltd, Chichester.
69. Schaetzen, W.B.F. de, Walters, G.A. and Savic, D.A. (2000) Optimal sampling design for model calibration using shortest path, genetic and entropy algorithms. Urban Water, 2, 141-52.
70. Seibert, J., Uhlenbrook, S., Leibundgut, C. and Halldin, S. (2000) Multiscale calibration and validation of a concenptual rainfall runoff model. Physics and Chemistry of the Earth B, 25, 59-64.
71. Senarath, S.U.S., Ogden, F., Downer, C.W. and Sharif, H.O. (2000) On the calibration and verification of two-dimensional, distributed, Hortonian, continuous watershed models. Water Resources Research, 36, 1495-510.
72. Steffen, W., Crutzen, P., McNeill, J.R. (2007) The Anthropocene: are humans now overwhelming the great forces of Nature? Ambio, 36, 614-21.
73. Tainaka, K.-I. (1996) Uncertainty in ecological catastrophe. Ecological Modelling, 86, 125-8.
74. Thornes, J.B. (1990) The interaction of erosional and vegetational dynamics in land degradation: spatial outcomes, in Vegetation and Erosion (ed. J.B. Thornes), John Wiley & Sons, Ltd, Chichester.
75. Torri, D. and Poesen, J. (1988) The effect of cup size on splash detachment and transport measurements. Part II: theoretical approach, in Geomorphic Processes in Environments with Strong Seasonal Contrasts. Volume 1 Hillslope Processes (eds A. Imeson and M. Sala), Catena Supplement 12 Catena, Cremlingen, pp. 127-37.
76. Torri, D., Poesen, J. and Borselli, L. (1997) Predictability and uncertainty of the soil erodibility factor using a global dataset, Catena, 31, 1-22.
77. Van Overmeeren, R.A., Sariowan, S.V., and Gehrels, J.C. (1997) Ground penetrating radar for determining volumetric water content; results of comparative measurements at two test sites. Journal of Hydrology, 197, 316-38.
78. Van Wesemael, B., Mulligan, M. and Poesen, J. (2000) Spatial patterns of soil water balance on intensively cultivated hillslopes in a semi-arid environment: the impact of rock fragments and soil thickness. Hydrological Processes, 14, 1811-28.
79. Van Winkle, W. and Dale, V.H. (1998) Model interactions: a reply to Aber, Bulletin of the Ecological Society of America, 79, 257-9.
80. Wainwright, J. (1996) A comparison of the infiltration, runoff and erosion characteristics of two contrasting 'badland'areas in S. France. Zeitschrift für Geomorphologie Supplementband, 106, 183-98.
81. Wainwright, J. (2009) Earth-system science, in Blackwell Companion to Environmental Geography (eds N. Castree, D. Liverman, B. Rhoads and D. Demerritt), Blackwell, Oxford, pp. 145-67.
82. Wainwright, J., Mulligan, M. and Thornes, J.B. (1999a) Plants and water in drylands, in Baird, A.J. and Wilby, R.L. (eds) Ecohydrology, Routledge, London, pp. 78-126.
83. Wainwright, J. and Parsons, A.J. (2002) The effect of temporal variations in rainfall on scale dependency in runoff coefficients. Water Resources Research, 38 (12), 1271. Doi: 10.1029/ 2000WR000188.
84. Wainwright, J., Parsons, A.J. and Abrahams, A.D. (2000) Plot-scale studies of vegetation, overland flow and erosion interactions: case studies from Arizona and New Mexico. Hydrological Processes, 14, 2921-43.
85. Wainwright, J, Parsons, A.J.,Müller, E.N. et al. (2008) A transportdistance approach to scaling erosion rates: 3. Evaluating scaling characteristics of Mahleran, Earth Surface Processes and Landforms, 33, 1113-28.
86. Wingle, W. L., Poeter, E.P. and McKenna, S.A. (1999) UNCERT: geostatistics, uncertainty analysis and visualization software applied to groundwater flow and contaminant transport modelling. Computers and Geosciences, 25, 365-76.
87. Wood, E.F., Sivapalan, M., Beven, K. and Band, L. (1988) Effects of spatial variability and scale with implications to hydrologic modelling. Journal of Hydrology, 102, 29-47.
88. Zalasiewicz, J, Williams, M., Steffen, W. and Crutzen, P. (2010) The new world of the Anthropocene. Environmental Science and Technology, 44, 2228-31.
89. Zimmermann, H.-J. (2000) An application-oriented view of modelling uncertainty. European Journal of Operational Research, 122, 190-8.