Numerical modeling of the response of alluvial rivers to Quaternary climate change

Abstract A numerical model, which simulates the dynamics of alluvial river channels on geological (Quaternary) time scales, is presented. The model includes water flow, channel dimensions, sediment transport and channel planform type. A number of numerical experiments, which investigate the response of an alluvial river to imposed sequences of water and sediment supply, with special emphasis on the time lags between these controlling variables, as well as a downstream discharge increase, are presented. It is found that the influence of the time lags can be substantial, having major implications for the reconstructions of palaeo climate based on river channel behavior documented in the geological record. The model is further applied to both a conceptual warm–cold–warm cycle and a reconstructed evolution of the river Meuse, the Netherlands, during the Late Glacial–Holocene warming. Results show that the model is capable of explaining the response of this river, although better validation against palaeoenvironmental data remains necessary.

[1]  Richard D. Hey.  Causal and functional relations in fluvial geomorphology , 1979 .

[2]  Keith Beven,et al.  TOPMODEL : a critique. , 1997 .

[3]  E. Stouthamer,et al.  Factors Controlling the Holocene Avulsion History of the Rhine-Meuse Delta (The Netherlands) , 2000 .

[4]  J. H. Berg.  Prediction of alluvial channel pattern of perennial rivers , 1995 .

[5]  J. Bridge,et al.  The interaction between channel geometry, water flow, sediment transport and deposition in braided rivers , 1993, Geological Society, London, Special Publications.

[6]  R. F. Houtgast,et al.  Neotectonics of the Roer Valley Rift System, the Netherlands , 2000 .

[7]  J. Vandenberghe,et al.  Climatic change and fluvial dynamics of the Maas during the Late Weichselian and Early Holocene. , 1995 .

[8]  V. Baker,et al.  Palaeohydrology and Environmental Change , 1998 .

[9]  M. Walker,et al.  Radiocarbon Dating the Last Glacial-Interglacial Transition (Ca. 14–9 14C Ka Bp) in Terrestrial and Marine Records: The Need for New Quality Assurance Protocols 1 , 2000, Radiocarbon.

[10]  H. Renssen,et al.  The two major warming phases of the last deglaciation at ; 14.7 and ; 11.5 ka cal BP in Europe: climate reconstructions and AGCM experiments , 2001 .

[11]  Jonathan D. Phillips,et al.  The instability of hydraulic geometry , 1990 .

[12]  M. Huisink.  Late‐glacial sedimentological and morphological changes in a lowland river in response to climatic change: the Maas, southern Netherlands , 1997 .

[13]  J. A. Jones.  Global Hydrology: Processes, Resources and Environmental Management , 1997 .

[14]  Jonathan D. Phillips,et al.  Multiple modes of adjustment in unstable river channel cross-sections , 1991 .

[15]  S. Ikeda,et al.  STABLE CHANNEL CROSS SECTIONS OF STRAIGHT SAND RIVERS , 1991 .

[16]  M. Wolman,et al.  Magnitude and Frequency of Forces in Geomorphic Processes , 1960, The Journal of Geology.

[17]  H. Renssen,et al.  The impact of the North Atlantic Ocean on the Younger Dryas climate in northwestern and central Europe , 1998 .

[18]  D. García-Castellanos,et al.  Modelling the Middle Pleistocene uplift in the Ardennes-Rhenish Massif: Thermo-mechanical weakening under the Eifel? , 2000 .

[19]  Rudy Slingerland,et al.  Stream Profile Adjustment to Crustal Warping: Nonlinear Results from a Simple Model , 1990, The Journal of Geology.

[20]  W. Broecker,et al.  Evidence for massive discharges of icebergs into the North Atlantic ocean during the last glacial period , 1992, Nature.

[21]  Rudy Slingerland,et al.  Mathematical Modeling of Graded River Profiles , 1987, The Journal of Geology.

[22]  A. Howard.  A detachment-limited model of drainage basin evolution , 1994 .

[23]  J. Vandenberghe,et al.  European river activity and climatic change during the lateglacial and early Holocene , 1995 .

[24]  Törnqvist.  Longitudinal profile evolution of the Rhine–Meuse system during the last deglaciation: interplay of climate change and glacio‐eustasy? , 1998 .

[25]  P. Allen,et al.  Earth Surface Processes , 1997 .

[26]  Stuart N. Lane,et al.  Linking River Channel Form and Process: Time, Space and Causality Revisited , 1997 .

[27]  A. Howard.  Equilibrium and time scales in geomorphology: Application to sand-bed alluvial streams , 1982 .

[28]  R. Snow,et al.  Character of hearwaters adjustment to base level drop, investigated by digital modeling , 1992 .

[29]  M. Kirkby,et al.  Sediment supply and climate change: implications for basin stratigraphy , 1998 .

[30]  A. Alabyan,et al.  Types of river channel patterns and their natural controls , 1998 .

[31]  J. Vandenberghe.  Changing fluvial processes under changing periglacial conditions. , 1993 .

[32]  J. Vandenberghe,et al.  Sediment budget and tectonic evolution of the Meuse catchment in the Ardennes and the Roer Valley Rift System , 2000 .

[33]  S. Schumm,et al.  Time, space, and causality in geomorphology , 1965 .

[34]  J. Vandenberghe.  Timescales, climate and river development , 1995 .

[35]  J. V. Dijke,et al.  Simulating internal and external controls on fluvial terrace stratigraphy : a qualitative comparison with the Maas record , 2000 .

[36]  S. Kroonenberg,et al.  Fluvial incision and channel downcutting as a response to Late‐glacial and Early Holocene climate change: the lower reach of the River Meuse (Maas), The Netherlands , 2000 .

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

[38]  Richard D. Hey,et al.  Dynamic process-response model of river channel development , 1979 .

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

[40]  S. Schumm.  PATTERNS OF ALLUVIAL RIVERS , 1985 .

[41]  G. Parker,et al.  Stable width and depth of straight gravel rivers with heterogeneous bed materials , 1988 .

[42]  J. Vandenberghe,et al.  Climate‐related river activity at the Weichselian‐Holocene transition: a comparative study of the Warta and Maas rivers , 1994 .

[43]  W. Bull,et al.  Geomorphic Responses to Climatic Change , 1991 .

[44]  D. Robinson,et al.  Soil Erosion and Conservation , 1988 .

[45]  Faculteit der Aard en Levenswetenschappen,et al.  Palaeogeography of Lateglacial Vegetations , 1997 .

[46]  M. Huisink.  Changing river styles in response to climate change , 1999 .

[47]  L. Tebbens.  Late quaternary evolution of the Meuse fluvial system and its sediment composition: a reconstruction based on bulk sample geochemistry and forward modelling , 1999 .

[48]  K. Richards.  The magnitude-frequency concept in fluvialgeomorphology: a component of a degenerating research programme? , 1999 .

[49]  L. B. Leopold,et al.  River channel patterns: Braided, meandering, and straight , 1957 .

[50]  S. Ikeda,et al.  Width and depth of self‐formed straight gravel rivers with bank vegetation , 1990 .

[51]  H. Heinrich,et al.  Origin and Consequences of Cyclic Ice Rafting in the Northeast Atlantic Ocean During the Past 130,000 Years , 1988, Quaternary Research.