Cenozoic river profile development in the Upper Lachlan catchment (SE Australia) as a test of quantitative fluvial incision models

[1] We have used early Miocene valley-filling basalts to reconstruct fluvial long profiles in the Upper Lachlan catchment, SE Australia, in order to use these as well-constrained initial conditions in a forward model of fluvial incision. Many different fluvial incision algorithms have been proposed, and it is not clear at present which one of these best captures the behavior of bedrock rivers. We test five different formulations; the ability of these models to reproduce the observed present-day stream profiles and amounts of incision is assessed using a weighted-mean misfit criterion as well as the structure of the misfit function. The results show that for all models, parameter combinations can be found that reproduce the amounts of incision reasonably well. However, for some models, these best fit parameter combinations do not seem to have a physical significance, whereas for some others, best fit parameter combinations are such that the models tend to mimic the behavior of other models. Overall, best fit model predictions are obtained for a detachment-limited stream power model or an “undercapacity” model that includes a river width term that varies as a function of drainage area. The uncertainty in initial conditions does not have a strong impact on model outcomes. The model results suggest, however, that lithological variation may be responsible for variations in parameter values of a factor of 3–5.

[1]  G. Tucker,et al.  Landscape response to tectonic forcing: Digital elevation model analysis of stream profiles in the Mendocino triple junction region, northern California , 2000 .

[2]  P. Bishop,et al.  Geomorphological evolution of the East Australian continental margin , 2000 .

[3]  D. Montgomery,et al.  Distribution of bedrock and alluvial channels in forested mountain drainage basins , 1996, Nature.

[4]  P. Talling,et al.  Erosion, deposition and basin‐wide variations in stream power and bed shear stress , 1998 .

[5]  K. Lambeck,et al.  THE STATE OF STRESS WITHIN THE AUSTRALIAN CONTINENT , 1984 .

[6]  P. Bishop,et al.  Horizontal stability of the Australian continental drainage divide in south central New South Wales during the Cainozoic , 1986 .

[7]  Kelin X. Whipple,et al.  Topographic outcomes predicted by stream erosion models: Sensitivity analysis and intermodel comparison , 2002 .

[8]  G. Tucker,et al.  Drainage basin responses to climate change , 1997 .

[9]  R. Bras,et al.  Downstream fining through selective particle sorting in an equilibrium drainage network , 1999 .

[10]  D. Merritts,et al.  Bedrock Fluvial Incision and Longitudinal Profile Development Over Geologic Time Scales Determined by Fluvial Terraces , 2013 .

[11]  Jean Braun,et al.  Numerical modelling of landscape evolution on geological time‐scales: a parameter analysis and comparison with the south‐eastern highlands of Australia , 1998 .

[12]  I. Rodríguez‐Iturbe,et al.  A coupled channel network growth and hillslope evolution model: 1. Theory , 1991 .

[13]  William E. Dietrich,et al.  Modeling fluvial erosion on regional to continental scales , 1994 .

[14]  Robert S. Anderson,et al.  Evolution of the Santa Cruz Mountains, California, through tectonic growth and geomorphic decay , 1994 .

[15]  J. Avouac,et al.  Investigation of the relationships between basin morphology, tectonic uplift, and denudation from the study of an active fold belt in the Siwalik Hills, central Nepal , 1999 .

[16]  W. Dietrich,et al.  Sediment and rock strength controls on river incision into bedrock , 2001 .

[17]  T. W. Gardner,et al.  Experimental study of knickpoint and longitudinal profile evolution in cohesive, homogeneous material: Discussion and reply , 1983 .

[18]  David R. Montgomery,et al.  Geologic constraints on bedrock river incision using the stream power law , 1999 .

[19]  G. Tucker,et al.  Dynamics of the stream‐power river incision model: Implications for height limits of mountain ranges, landscape response timescales, and research needs , 1999 .

[20]  K. Marin,et al.  Evolution of river elevation profiles by bedrock incision; analytical solutions for transient river profiles related to changing uplift and precipitation rates , 2000 .

[21]  K. Lambeck,et al.  Post-Palaeozoic uplift history of southeastern Australia revisited: results from a process-based model of landscape evolution , 1999 .

[22]  I. Mcdougall,et al.  Potassium‐argon ages on the Cainozoic volcanic rocks of New South Wales , 1974 .

[23]  Sean D. Willett,et al.  Orogeny and orography: The effects of erosion on the structure of mountain belts , 1999 .

[24]  David R. Montgomery,et al.  Spatial coincidence of rapid inferred erosion with young metamorphic massifs in the Himalayas , 2002 .

[25]  G. Tucker,et al.  Implications of sediment‐flux‐dependent river incision models for landscape evolution , 2002 .

[26]  Geoff Goldrick A one‐person, one‐instrument method for precision barometric altimetry , 1994 .

[27]  Philippe Fullsack,et al.  Erosional control of active compressional orogens , 1992 .

[28]  Alan D. Howard,et al.  Long Profile Development of Bedrock Channels: Interaction of Weathering, Mass Wasting, Bed Erosion, and Sediment Transport , 2013 .

[29]  Ellen Wohl,et al.  Rivers Over Rock: Fluvial Processes in Bedrock Channels , 1998 .

[30]  D. Montgomery,et al.  Effects of orographic precipitation variations on the concavity of steady-state river profiles , 2002 .

[31]  Frank J. Pazzaglia,et al.  Quantitative testing of bedrock incision models for the Clearwater River, NW Washington State , 2003 .

[32]  N. Hovius,et al.  Climate-Driven Bedrock Incision in an Active Mountain Belt , 2002, Science.

[33]  W. Hay Detrital sediment fluxes from continents to oceans , 1998 .

[34]  Kelin X. Whipple,et al.  Rates and processes of bedrock incision by the Upper Ukak River since the 1912 Novarupta ash flow in the Valley of Ten Thousand Smokes, Alaska , 2000 .

[35]  W. Dietrich,et al.  Longitudinal Profile Development into Bedrock: An Analysis of Hawaiian Channels , 1994, The Journal of Geology.

[36]  K. Whipple,et al.  Quantifying differential rock-uplift rates via stream profile analysis , 2001 .

[37]  Michael A. Ellis,et al.  Landsliding and the evolution of normal‐fault‐bounded mountains , 1998 .

[38]  M. Brandon,et al.  A Fluvial Record of Long-term Steady-state Uplift and Erosion Across the Cascadia Forearc High, Western Washington State , 2001 .

[39]  Ian McDougall,et al.  Stream Profile Change and Longterm Landscape Evolution: Early Miocene and Modern Rivers of the East Australian Highland Crest, Central New South Wales, Australia , 1985, The Journal of Geology.

[40]  William H. Press,et al.  Numerical Recipes in Fortran 77 , 1992 .

[41]  R. Bagnold Bed load transport by natural rivers , 1977 .

[42]  G. Tucker,et al.  Importance of a stochastic distribution of floods and erosion thresholds in the bedrock river incision problem , 2003 .

[43]  H. Kooi,et al.  Coupled tectonic-surface process models with applications to rifted margins and collisional orogens. , 2000 .

[44]  William E. Dietrich,et al.  The Problem of Channel Erosion into Bedrock , 1992 .

[45]  H. Kooi,et al.  Escarpment evolution on high‐elevation rifted margins: Insights derived from a surface processes model that combines diffusion, advection, and reaction , 1994 .

[46]  J. Braun,et al.  Controls on post‐mid‐Cretaceous landscape evolution in the southeastern highlands of Australia: Insights from numerical surface process models , 1999 .

[47]  P. Bishop,et al.  Differentiating the Roles of Lithology and Uplift in the Steepening of Bedrock River Long Profiles: An Example from Southeastern Australia , 1995, The Journal of Geology.

[48]  Roderic Brown,et al.  Denudational isostatic rebound of intraplate highlands: The lachlan river valley, Australia , 1992 .

[49]  M. Caffee,et al.  Cosmogenic exposure and erosion history of Australian bedrock landforms , 2002 .

[50]  William E. Dietrich,et al.  Soil production on a retreating escarpment in southeastern Australia , 2000 .

[51]  P. Bishop Southeast Australian late Mesozoic and Cenozoic denudation rates: A test for late Tertiary increases in continental denudation , 1985 .

[52]  Kelin X. Whipple,et al.  River incision into bedrock: Mechanics and relative efficacy of plucking, abrasion and cavitation , 2000 .

[53]  K. Lambeck,et al.  The post‐Palaeozoic uplift history of south‐eastern Australia , 1986 .

[54]  G. Tucker,et al.  Erosional dynamics, flexural isostasy, and long-lived escarpments: A numerical modeling study , 1994 .

[55]  Jérôme Lavé,et al.  Fluvial incision and tectonic uplift across the Himalayas of central Nepal , 2001 .