Topographic outcomes predicted by stream erosion models: Sensitivity analysis and intermodel comparison

Journal of Geophysical Research: Solid Earth

Volumn 107, Issue 9, 2002, Pages

  Tucker, G E ^a   Whipple, K X ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Erosion; Geomorphology; Landscape evolution; Relief; Streams; Topography

Indexed keywords

DENUDATION; EROSION; FLUVIAL GEOMORPHOLOGY; LANDSCAPE EVOLUTION; SENSITIVITY ANALYSIS; TOPOGRAPHY;

EID: 0037058541     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: None     Document Type: Article

References (75)

1. Adams, J., Large-scale tectonic geomorphology of the Southern Alps, New Zealand, in Tectonic Geomorphology. Binghamton Symposia in Geomorphology, Int. Ser., vol. 15, edited by M. Morisawa and J. T. Hack, pp. 105-128, Allen and Unwin, Concord. Mass., 1985.
2. Anderson, R. S., Evolution of the Santa Cruz Mountains, California, through tectonic growth and geomorphic decay, J. Geophys. Res., 99, 20,161-20,179, 1994.
3. Anderson, R. S., and N. F. Humphrey, Interaction of weathering and transport processes in the evolution of arid landscapes, in Quantitative Dynamic Stratigraphy, edited by T. Cross, pp. 349-361, Prentice-Hall, Englewood Cliffs, N. J., 1990.
4. Baldwin, J. A., K. X. Whipple, and G. E. Tucker, Implications of the shear-stress river incision model for the timescale of postorogenic decay of topography, J. Geophys. Res., 107, doi: 10.1029/2001JB000550, in press, 2002.
5. Beaumont, C., P. Fullsack, and J. Hamilton, Erosional control of active compressional orogens, in Thrust Tectonics, edited by K. R. McClay, pp. 1-18, Chapman and Hall, New York, 1992.
6. Burbank, D., J. Leland, E. Fielding, R. S. Anderson, N. Brozovic, M. R. Reid, and C. Duncan, Bedrock incision, rock uplift and threshold hillslopes in the northwestern Himalayas, Nature, 379, 505-510, 1994.
7. California Division of Mines and Geology, Geologic map of California, Death Valley sheet, scale 1:250,000 geologic map, Sacramento, 1977.
8. Carson, M. A., and D. J. Petley, The existence of threshold hillslopes in the denudation of the landscape, Trans. Inst. Br. Geogr., 49, 71-95, 1970.
9. Chase, C. G., Fluvial landsculpting and the fractal dimension of topography, Geomorphology, 5, 39-57, 1992.
10. Cockburn, H. A. P., R. W. Brown, M. A. Summerfield, and M. A. Seidl, Quantifying passive margin denudation and landscape development using a combined fission-track thermochronology and cosmogenic isotope analysis approach, Earth Planet. Sci. Lett., 179(3-4), 429-435, 2000.
11. Dahlen, F. A., and J. Suppe, Mechanics, growth, and erosion of mountain belts, in Processes in Continental Lithospheric Deformation, edited by S. P. Clark Jr., B. C. Burchfiel, and J. Suppe, Spec. Pap. Geol. Soc. Am., 218, 161-178, 1988.
12. Davis, W. M., The geographical cycle, Geogr. J., 14, 481-504, 1899.
13. Densmore, A. L., M. A. Ellis, and R. S. Anderson, Landsliding and the evolution of normal-fault-bounded mountains, J. Geophys. Res., 103, 15,203-15,219, 1998.
14. Foley, M., Bed-rock incision by streams, Geol. Soc. Am. Bull. Part II, 91, 664-672, 1980.
15. Foster, G. R., and L. D. Meyer, A closed-form erosion equation for upland areas, in Sedimentation: Symposium to Honor Professor H. A. Einstein, edited by H. W. Shen, pp. 12.1-12.19, Colo, State Univ., Fort Collins, 1972.
16. Gasparini, N. M., G. E. Tucker, and R. L. Bras, Downstream fining through selective particle sorting in an equilibrium drainage network, Geology, 27(12), 1079-1082, 1999.
17. Gilchrist, A. R., H. Kooi, and C. Beaumont, Post-Gondwana geomorphic evolution of southwestern Africa; implications for the controls on landscape development from observations and numerical experiments, J. Geophys. Res., 99, 12,211-12,228, 1994.
18. Hack, J. T., Studies of longitudinal stream profiles in Virginia and Maryland, U.S. Geol. Surv. Prof. Pap., 294-B, 97 pp., 1957.
19. Howard, A. D., Simulation model of stream capture, Geol. Soc. Am. Bull., 82, 1355-1376, 1971.
20. Howard, A. D., Thresholds in river regimes, in Thresholds in Geomorphology, edited by D. R. Coates and J. D. Vitek, pp. 227-258, Allen and Unwin, Concord, Mass., 1980.
21. Howard, A. D., A detachment-limited model of drainage basin evolution, Water Resour. Res., 30, 2261-2285, 1994.
22. Howard, A. D., Badland morphology and evolution: Interpretation using a simulation model, Earth Surf. Processes Landforms, 22, 211-227, 1997.
23. Howard, A. D., and G. Kerby, Channel changes in badlands, Geol. Soc. Am. Bull., 94, 739-752, 1983.
24. Howard, A. D., W. E. Dietrich, and M. A. Seidl, Modeling fluvial erosion on regional to continental scales, J. Geophys. Res., 99, 13,971-13,986, 1994.
25. Hurtrez, J. E., F. Lucazeau, J. Lave, and J.-P. Avouac, Investigations of the relationships between basin morphology, tectonic uplift, and denudation from study of an active fold belt in the Siwalik Hills, central Nepal, J. Geophys. Res., 104, 12,779-12,796, 1999.
26. King, L. C., Canons of landscape evolution, Geol. Soc. Am. Bull., 64, 721-752, 1953.
27. Kirby, E., and K. X. Whipple, Quantifying differential rock uplift rates via stream profile analysis, Geology, 29, 415-418, 2001.
28. Kirkby, M. J., Modelling some influences of soil erosion, landslides and valley gradient on drainage density and hollow development, Catena Suppl., 10, 1-14, 1987.
29. Kooi, H., and C. Beaumont, Escarpment evolution on high-elevation rifted margins: Insights derived from a surface processes model that combines diffusion, advection, and reaction, J. Geophys. Res., 99, 12,191-12,209, 1994.
30. Kooi, H., and C. Beaumont, Large-scale geomorphology: Classical concepts reconciled and integrated with contemporary ideas via a surface processes model, J. Geophys. Res., 101, 3361-3386, 1996.
31. Molnar, P., and P. England, Late Cenozoic uplift of mountain ranges and global climate change: Chicken or egg? Nature, 346, 29-34, 1990.
32. Montgomery, D. R., and W. E. Dietrich, Where do channels begin?, Nature, 336, 232-234, 1988.
33. Montgomery, D. R., and W. E. Dietrich, Channel initiation and the problem of landscape scale, Science, 255, 826-830, 1992.
34. Montgomery, D. R., T. B. Abbe, J. M. Buffington, N. P. Peterson, K. M. Schmidt, and J. D. Stock, Distribution of bedrock and alluvial channels in forested mountain drainage basins, Nature, 381, 587-589, 1996.
35. Oguchi, T., Drainage density and relative relief in humid steep mountains with frequent slope failure, Earth Surf. Processes Landforms, 22, 107-120, 1997.
36. Ohmori, H., Morphotectonic evolution of Japan, in Geomorphology and Global Tectonics, edited by M. A. Summerfield, pp. 147-166, John Wiley, New York, 2000.
37. Paola, C., P. L. Heller, and C. L. Angevine, The large-scale dynamics of grain-size variation in alluvial basins, 1, Theory, Basin Res., 4, 73-90, 1992.
38. Penck, W., Morphological Analysis of Land Forms: A Contribution to Physical Geography, translated by H. Czech and K. C. Boswell, 429 pp., Macmillan, Old Tappan, N. J., 1921.
39. Reneau, S. L., and W. E. Dietrich, Erosion rates in the southern Oregon coast range: Evidence for an equilibrium between hillslope erosion and sediment yield, Earth Surf. Processes Landforms, 16, 307-322, 1991.
40. Rigon, R., I. Rodriguez-Iturbe, A. Maritan, A. Giacometti, D. G. Tarboton, and A. Rinaldo, On Hack's law, Water Resour. Res., 32, 3367-3374, 1996.
41. Rodriguez Iturbe, I., and A. Rinaldo, Fractal River Basins: Chance and Self-Organization, 547 pp., Cambridge Univ. Press, New York, 1997.
42. Roering, J. J., J. W. Kirchner, and W. E. Dietrich, Evidence for nonlinear, diffusive sediment transport on hillslopes and implications for landscape morphology, Water Resour. Res., 35, 853-870, 1999.
43. Rosenbloom, N. A., and R. S. Anderson, Hillslope and channel evolution in a marine terraced landscape, Santa Cruz, California, J. Geophys. Res., 99, 14,013-14,030, 1994.
44. Royden, L. H., M. K. Clark, and K. X. Whipple, Evolution of river elevation profiles by bedrock incision: Analytical solutions for transient river profiles related to changing uplift and precipitation rates, Eos Trans. AGU, 81(48), Fall Meet. Suppl., Abstract T62F-09, 2000.
45. Schmidt, K., and D. Montgomery, Limits to relief, Science, 270, 617-620, 1995.
46. Seidl, M. A., and W. E. Dietrich, The problem of channel erosion into bedrock, Catena Suppl., 23, 101-124, 1992.
47. Seidl, M. A., W. E. Dietrich, and J. W. Kirchner, Longitudinal profile development into bedrock: An analysis of Hawaiian channels, J. Geol., 102, 457-474, 1994.
48. Sklar, L., and W. E. Dietrich, River longitudinal profiles and bedrock incision models: Stream power and the influence of sediment supply, in Rivers Over Rock: Fluvial Processes in Bedrock Channels. Geophysical Monogr. Ser., vol. 107, edited by E. Wohl and K. Tinkler, pp. 237-260, AGU, Washington, D. C., 1998.
49. Slingerland, R., S. D. Willett, and H. L. Hennessey, A new fluvial bedrock erosion model based on the work-energy principle, Eos Trans. AGU, 78(46), Fall Meet, Suppl., F299, 1997.
50. Snow, R. S., and R. L. Slingerland, Mathematical modeling of graded river profiles, J. Geol., 95, 15-33, 1987.
51. Snyder, N. P., K. X. Whipple, G. E. Tucker, and D. J. Merritts, Landscape response to tectonic forcing: DEM analysis of stream profiles in the Mendocino triple junction region, northern California, Geol. Soc. Am. Bull., 112, 1250-1263, 2000a.
52. Snyder, N. P., K. X. Whipple, and G. E. Tucker, The influence of a stochastic distribution of storms and a critical shear stress for detachment on the relation between steady-state bedrock channel gradient and rock-uplift rate, paper presented at Annual Meeting, Geol. Soc. of Am., Reno, Nev., 12-16 Nov., 2000b.
53. Stock, J., and W. E. Dietrich, Valley incision by debris flows: Field evidence and hypotheses linking flow frequency to morphology, Eos Trans. AGU, 80(46), Fall Meet. Suppl., F473, 1999.
54. Talling, P., Self-organization of river networks to threshold states. Water Resour. Res., 36, 1119-1128, 2000.
55. Tarboton, D. G., R. L. Bras, and I. Rodriguez-Iturbe, On the extraction of channel networks from digital elevation data, Hydrol. Processes, 5, 81-100, 1991.
56. Tucker, G. E., Modeling the large-scale interaction of climate, tectonics, and topography, Tech. Rep. 96-003, Earth Syst. Sci. Cent., Pa. State Univ., University Park, 1996.
57. Tucker, G. E., and R. L. Bras, Hillslope processes, drainage density, and landscape morphology, Water Resour. Res., 34, 2751-2764, 1998.
58. Tucker, G. E., and R. L. Bras, A stochastic approach to modeling the role of rainfall variability in drainage basin evolution, Water Resour. Res., 36, 1953-1964, 2000.
59. Tucker, G. E., and R. L. Slingerland, Erosional dynamics, flexural isostasy, and long-lived escarpments: A numerical modeling study, J. Geophys. Res., 99, 12,229-12,243, 1994.
60. Tucker, G. E., and R. L. Slingerland, Predicting sediment flux from fold and thrust belts, Basin Res., 8, 329-349, 1996.
61. Tucker, G. E., and R. L. Slingerland, Drainage basin response to climate change, Water Resour. Res., 33, 2031-2047, 1997.
62. Tucker, G. E., F. Catani, A. Rinaldo, and R. L. Bras, Statistical analysis of drainage density from digital terrain data, Geomorphology, 36(3-4), 187-202, 2001a.
63. Tucker, G. E., S. T. Lancaster, N. M. Gasparini, and R. L. Bras, The Channel-Hillslope Integrated Landscape Development model (CHILD), in Landscape Erosion and Evolution Modeling, edited by R. S. Harmon and W. W. Doe III, pp. 349-388, Kluwer Acad., Norwell, Mass., 2001b.
64. Tucker, G. E., S. T. Lancaster, N. M. Gasparini, R. L. Bras, and S. M. Rybarczyk, An object-oriented framework for hydrologic and geomorphic modeling using triangulated irregular networks, Comput. Geosci., 27(8), 959-973, 2001c.
65. van der Beek, P., and J. Braun, Numerical modelling of landscape evolution on geological time-scales: A parameter analysis and comparison with the south-eastern highlands of Australia, Basin Res., 10, 49-68, 2000.
66. Weissel, J. K., and M. A. Seidl, Inland propagation of erosional escarpments and river profile evolution across the southeast Australian passive continental margin, in Rivers Over Rock: Fluvial Processes in Bedrock Channels, Geophys. Monogr. Ser., vol. 107, edited by E. Wohl and K. Tinkler, pp. 189-206, AGU, Washington, D. C., 1998.
67. Whipple, K. X., Fluvial landscape response time: How plausible is steady-state denudation?, Am. J. Sci., 301, 313-325, 2001.
68. Whipple, K. X., and C. R. Trayler, Tectonic control of fan size: The importance of spatially variable subsidence rates, Basin Res., 8, 351-365, 1996.
69. Whipple, K. X., and G. E. Tucker, Dynamics of the stream power river incision model: Implications for height limits of mountain ranges, landscape response timescales and research needs, J. Geophys. Res., 104, 17,661-17,674, 1999.
70. Whipple, K. X., and G. E. Tucker, Implications of sediment-flux-dependent river incision models for landscape evolution, J. Geophys. Res., 107(B2), 10.1029/2000JB000044, 2002.
71. Whipple, K. X., E. Kirby, and S. H. Brocklehurst, Geomorphic limits to climate-induced increases in topographic relief, Nature, 401, 39-43, 1999.
72. Whipple, K. X., G. S. Hancock, and R. S. Anderson, River incision into bedrock: Mechanics and relative efficacy of plucking, abrasion, and cavitation, Geol. Soc. Am. Bull., 112, 490-503, 2000.
73. Willett, S. D., C. Beaumont, and P. Fullsack, Mechanical model for the tectonics of doubly vergent compressional orogens, Geology, 21, 371-374, 1993.
74. Willgoose, G. R., A physical explanation for an observed area-slope-elevation relationship for catchments with declining relief, Water Resour. Res., 30, 151-159, 1994.
75. Willgoose, G. R., R. L. Bras, and I. Rodriguez-Iturbe, A physically based coupled network growth and hillslope evolution model, 1, Theory, Water Resour. Res., 27, 1671-1684, 1991.