tRIBS-Erosion: A parsimonious physically-based model for studying catchment hydro-geomorphic response

Our goal is to develop a model capable to discern the response of a watershed to different erosion mechanisms. We propose a framework that integrates a geomorphic component into the physically-based and spatially distributed TIN-based Real-time Integrated Basin Simulator (tRIBS) model. The coupled model simulates main erosive processes of hillslopes (raindrop impact detachment, overland flow entrainment, and diffusive processes) and channel (erosion and deposition due to the action of water flow). In addition to the spatially distributed, dynamic hydrologic variables, the model computes the sediment transport discharge and changes in elevation, which feedback to hydrological dynamics through local changes of terrain slope, aspect, and drainage network configuration. The model was calibrated for the Lucky Hills basin, a semi-arid watershed nested in the Walnut Gulch Experimental Watershed (Arizona, USA). It is demonstrated to be capable of reproducing main runoff and sediment yield events and accumulated volumes over the long term. The model was also used to study the response of two first-order synthetic basins representative of landforms dominated by fluvial and diffusive erosion processes to a 100-year long stationary climate. The analysis of the resultant slope-contributing area relationships for the two synthetic basins illustrates that the model is consistent with assumed principles of behavior and capable of reproducing the main mechanisms of erosion.

[1]  Christian Salles,et al.  Statistical and physical analysis of soil detachment by raindrop impact: Rain erosivity indices and threshold energy , 2000 .

[2]  William P. Kustas,et al.  Simulating Surface Energy Fluxes and Radiometric Surface Temperatures for Two Arid Vegetation Communities Using the SHAW Model , 1998 .

[3]  R. Bras,et al.  Modeling the effects of vegetation‐erosion coupling on landscape evolution , 2004 .

[4]  T. Verhaegen.  The use of small flumes for the determination of soil erodibility , 1987 .

[5]  W. G. Knisel,et al.  CREAMS: a field scale model for Chemicals, Runoff, and Erosion from Agricultural Management Systems [USA] , 1980 .

[6]  Gregory E. Tucker,et al.  Hillslope processes, drainage density, and landscape morphology , 1998 .

[7]  W. Bull.  Discontinuous ephemeral streams , 1997 .

[8]  M. S. Moran,et al.  Soil water evaluation using a hydrologic model and calibrated sensor network , 2000 .

[9]  G. R. Foster,et al.  Transport of Soil Particles by Shallow Flow , 1972 .

[10]  M. A. Nearinga,et al.  Modeling response of soil erosion and runoff to changes in precipitation and cover , 2005 .

[11]  J. R. Simanton,et al.  Small watershed automatic water quality sampler , 1986 .

[12]  Edwin T. Engman,et al.  Roughness coefficients for routing surface runoff , 1983 .

[13]  Enrique R. Vivoni,et al.  The implications of geology, soils, and vegetation on landscape morphology: Inferences from semi-arid basins with complex vegetation patterns in Central New Mexico, USA , 2010 .

[14]  D. Greenway,et al.  Vegetation and slope stability , 1987 .

[15]  Shafiqul Islam,et al.  Prediction of Ground Surface Temperature and Soil Moisture Content by the Force‐Restore Method , 1995 .

[16]  The Modeling of Hydrological Cycle and its Interaction with Vegetation in the Framework of Climate Change , 2010 .

[17]  Leonardo Noto,et al.  Physically-based and distributed approach to analyze rainfall-triggered landslides at watershed scale , 2009 .

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

[19]  Corinne Le Quéré,et al.  Climate Change 2013: The Physical Science Basis , 2013 .

[20]  J. Monteith.  Evaporation and environment. , 1965, Symposia of the Society for Experimental Biology.

[21]  Michael C. Slattery,et al.  Slope–channel linkage and sediment delivery on North Carolina coastal plain cropland , 2002 .

[22]  G. Epema,et al.  Fall velocity of waterdrops at different heights as a factor influencing erosivity of simulated rain , 1983 .

[23]  A.P.J. de Roo,et al.  Modelling runoff and sediment transport in catchments using GIS , 1998 .

[24]  W. H. Wischmeier,et al.  Predicting rainfall erosion losses : a guide to conservation planning , 1978 .

[25]  Enrique R. Vivoni,et al.  Vegetation‐hydrology dynamics in complex terrain of semiarid areas: 2. Energy‐water controls of vegetation spatiotemporal dynamics and topographic niches of favorability , 2008 .

[26]  Donald A. Parsons,et al.  The relation of raindrop-size to intensity , 1943 .

[27]  V. Ivanov,et al.  Simulation of future climate scenarios with a weather generator , 2011 .

[28]  M. Church,et al.  Numerical modelling of landscape evolution: geomorphological perspectives , 2004 .

[29]  Jürgen Schmidt,et al.  Application of the EROSION 3D model to the CATSOP watershed, The Netherlands , 1999 .

[30]  Daryl B. Simons,et al.  Sediment transport technology , 1977 .

[31]  K. Renard,et al.  Transmission Losses in Ephemeral Stream Beds , 1962 .

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

[33]  Nicole M. Gasparini,et al.  An object-oriented framework for distributed hydrologic and geomorphic modeling using triangulated irregular networks , 2001 .

[34]  D. Weyman,et al.  THROUGHFLOW ON HILLSLOPES AND ITS RELATION TO THE STREAM HYDROGRAPH , 1970 .

[35]  W. J. Shuttleworth,et al.  Integration of soil moisture remote sensing and hydrologic modeling using data assimilation , 1998 .

[36]  John Wainwright,et al.  Environmental Issues in the Mediterranean: Processes and Perspectives from the Past and Present , 2003 .

[37]  M. Macklin,et al.  Modelling differential catchment response to environmental change , 2005 .

[38]  R. D. Black,et al.  An Experimental Investigation of Runoff Production in Permeable Soils , 1970 .

[39]  M. Caffee,et al.  Using cosmogenic nuclides to contrast rates of erosion and sediment yield in a semi‐arid, arroyo‐dominated landscape, Rio Puerco Basin, New Mexico , 2005 .

[40]  G. Hancock,et al.  An evaluation of landscape evolution models to simulate decadal and centennial scale soil erosion in grassland catchments , 2011 .

[41]  Enrique R. Vivoni,et al.  Real-world hydrologic assessment of a fully-distributed hydrological model in a parallel computing environment , 2011 .

[42]  A. Parsons,et al.  Sensitivity of Sediment-Transport Equations to Errors in Hydraulic Models of Overland Flow , 1998 .

[43]  B. Wilkinson,et al.  THE IMPACT OF HUMANS ON CONTINENTAL EROSION AND SEDIMENTATION (Invited) , 2007 .

[44]  J. Refsgaard.  Parameterisation, calibration and validation of distributed hydrological models , 1997 .

[45]  Kenneth G. Renard,et al.  PRECIPITATION CHANGES FROM 1956 TO 1996 ON THE WALNUT GULCH EXPERIMENTAL WATERSHED 1 , 2002 .

[46]  R. Bras.  Hydrology : an introduction to hydrologic science , 1990 .

[47]  D. A. Woolhiser,et al.  KINEROS - a kinematic runoff and erosion model , 1995 .

[48]  Fritz Schlunegger,et al.  Drainage basin response to climate change in the Pisco valley, Peru , 2009 .

[49]  R. Bras,et al.  Vegetation-modulated landscape evolution: Effects of vegetation on landscape processes, drainage density, and topography , 2004 .

[50]  Mike Kirkby,et al.  THROUGHFLOW, OVERLAND FLOW AND EROSION , 1967 .

[51]  M. Jha,et al.  Erosion Predictions by Empirical Models in a Mountainous Watershed in Nepal , 2010 .

[52]  Nicole M. Gasparini,et al.  The Channel-Hillslope Integrated Landscape Development Model (CHILD) , 2001 .

[53]  Dara Entekhabi,et al.  Generation of triangulated irregular networks based on hydrological similarity , 2004 .

[54]  P. Kinnell.  Simulations demonstrating interaction between coarse and fine sediment loads in rain‐impacted flow , 2006 .

[55]  R. Horton.  The Rôle of infiltration in the hydrologic cycle , 1933 .

[56]  D. Pimentel,et al.  Environmental and Economic Costs of Soil Erosion and Conservation Benefits , 1995, Science.

[57]  John R. Williams,et al.  A modeling approach to determining the relationship between erosion and soil productivity [EPIC, Erosion-Productivity Impact Calculator, mathematical models] , 1984 .

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

[59]  D. Tarboton,et al.  Modeling of the interactions between forest vegetation, disturbances, and sediment yields , 2004 .

[60]  Chih Ted Yang,et al.  Sediment transport : theory and practice / Chih Ted Yang , 1995 .

[61]  M. Kirkby.  A basis for soil profile modelling in a geomorphic context , 1985 .

[62]  David C. Goodrich,et al.  KINEROS: A kinematic runoff and erosion model documentation and user manual , 1986 .

[63]  Lubos Mitas,et al.  Role of dynamic cartography in simulations of landscape processes based on multivariate fields , 1997 .

[64]  Dara Entekhabi,et al.  Preserving high-resolution surface and rainfall data in operational-scale basin hydrology: a fully-distributed physically-based approach , 2004 .

[65]  Kenneth J. Tobin,et al.  Using SWAT to Model Streamflow in Two River Basins With Ground and Satellite Precipitation Data 1 , 2009 .

[66]  M. Kirkby,et al.  A cellular model of Holocene upland river basin and alluvial fan evolution , 2002 .

[67]  Hatim O. Sharif,et al.  On the calibration and verification of two‐dimensional, distributed, Hortonian, continuous watershed models , 2000 .

[68]  L. Benda,et al.  Stochastic forcing of sediment supply to channel networks from landsliding and debris flow , 1997 .

[69]  Keith Loague,et al.  The quixotic search for a comprehensive understanding of hydrologic response at the surface: Horton, Dunne, Dunton, and the role of concept‐development simulation , 2010 .

[70]  R. Young,et al.  AGNPS: A nonpoint-source pollution model for evaluating agricultural watersheds , 1989 .

[71]  B. Bates,et al.  Climate change and water. , 2008 .

[72]  L. D. Norton,et al.  Soil erosion by surface water flow on a stony, semiarid hillslope , 1999 .

[73]  F. Ogden,et al.  Two-Dimensional Watershed-Scale Erosion Modeling With CASC2D , 2001 .

[74]  J. D. Lin.  On the force-restore method for prediction of ground surface temperature , 1980 .

[75]  L. D. Meyer,et al.  Susceptibility of Agricultural Soils to Interrill Erosion , 1984 .

[76]  R. Morgan.  Effect of Corn and Soybean Canopy on Soil Detachment by Rainfall , 1985 .

[77]  J. Niemann,et al.  Modelling the potential impacts of groundwater hydrology on long‐term drainage basin evolution , 2006 .

[78]  A. Rutter,et al.  A predictive model of rainfall interception in forests, 1. Derivation of the model from observations in a plantation of Corsican pine , 1971 .

[79]  L. J. Lane,et al.  Sensitivity Analysis of the WEPP Watershed Model for Rangeland Applications I: Hillslope Processes , 1993 .

[80]  G. Gaucher.  Vers une classification pedologique naturelle basee sur la geochimie de la pedogenese , 1977 .

[81]  E. Brater,et al.  Separating storm‐hydrographs from small drainage‐areas into surface‐ and subsurface‐flow , 1941 .

[82]  L. Benda,et al.  Stochastic forcing of sediment routing and storage in channel networks , 1997 .

[83]  James P. Bennett,et al.  Concepts of mathematical modeling of sediment yield , 1974 .

[84]  G. K. Gilbert.  The Convexity of Hilltops , 1909, The Journal of Geology.

[85]  L. F. Huggins,et al.  ANSWERS: A Model for Watershed Planning , 1980 .

[86]  J. Marshall,et al.  THE DISTRIBUTION OF RAINDROPS WITH SIZE , 1948 .

[87]  W. H. Wischmeier,et al.  Predicting rainfall-erosion losses from cropland east of the Rocky Mountains , 1965 .

[88]  R. Seager,et al.  Model Projections of an Imminent Transition to a More Arid Climate in Southwestern North America , 2007, Science.

[89]  G. R. Foster,et al.  A Process-Based Soil Erosion Model for USDA-Water Erosion Prediction Project Technology , 1989 .

[90]  A. Rutter,et al.  A Predictive Model of Rainfall Interception in Forests. II. Generalization of the Model and Comparison with Observations in Some Coniferous and Hardwood Stands , 1975 .

[91]  E. Vivoni,et al.  Effects of vegetation, albedo, and solar radiation sheltering on the distribution of snow in the Valles Caldera, New Mexico , 2008 .

[92]  M. Selim Yalin,et al.  Mechanics of sediment transport , 1972 .

[93]  Enrique R. Vivoni,et al.  Vegetation‐hydrology dynamics in complex terrain of semiarid areas: 1. A mechanistic approach to modeling dynamic feedbacks , 2008 .

[94]  J. G. King,et al.  Mountain erosion over 10 yr, 10 k.y., and 10 m.y. time scales , 2001 .

[95]  S. Wood,et al.  Fire, storms, and erosional events in the Idaho batholith , 2001 .

[96]  E. Vivoni,et al.  Catchment hydrologic response with a fully distributed triangulated irregular network model , 2004 .

[97]  P. I. A. Kinnell,et al.  Raindrop‐impact‐induced erosion processes and prediction: a review , 2005 .

[98]  Coen J. Ritsema,et al.  LISEM: a new physically-based hydrological and soil erosion model in a GIS-environment, theory and implementation , 1994 .

[99]  Joshua R. Smith,et al.  Long‐term precipitation database, Walnut Gulch Experimental Watershed, Arizona, United States , 2008 .

[100]  Jeffrey G. Arnold,et al.  Model Evaluation Guidelines for Systematic Quantification of Accuracy in Watershed Simulations , 2007 .

[101]  Gerrit Lohmann,et al.  Regional Climate Projections. , 2010 .

[102]  Daniel C. Yoder,et al.  RUSLE revisited: Status, questions, answers, and the future , 1994 .

[103]  S. Sorooshian,et al.  Automatic calibration of conceptual rainfall-runoff models: sensitivity to calibration data , 1996 .

[104]  J. Bathurst,et al.  SHESED: a physically based, distributed erosion and sediment yield component for the SHE hydrological modelling system , 1996 .

[105]  R. Bras,et al.  Climatic control of sediment yield in dry lands following climate and land cover change , 2008 .

[106]  J. M. Bradford,et al.  Interrill soil erosion processes. I: Effect of surface sealing on infiltration, runoff, and soil splash detachment , 1987 .

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

[108]  H. L. Penman.  Natural evaporation from open water, bare soil and grass , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[109]  J. Niemann,et al.  Self‐similarity and multifractality of fluvial erosion topography: 1. Mathematical conditions and physical origin , 2000 .

[110]  Jeffrey G. Arnold,et al.  Simulator for Water Resources in Rural Basins , 1985 .

[111]  Mario Tiscareno-Lopez.  Sensitivity analysis of the WEPP Watershed model , 1991 .