Macropores and water flow in soils revisited

The original review of macropores and water flow in soils by Beven and Germann is now 30 years old and has become one of the most highly cited papers in hydrology. This paper attempts to review the progress in observations and theoretical reasoning about preferential soil water flows over the intervening period. It is suggested that the topic has still not received the attention that its importance deserves, in part because of the ready availability of software packages rooted firmly in the Richards domain, albeit that there is convincing evidence that this may be predicated on the wrong experimental method for natural conditions. There is still not an adequate physical theory linking all types of flow, and there are still not adequate observational techniques to support the scale dependent parameterizations that will be required at practical field and hillslope scales of application. Some thoughts on future needs to develop a more comprehensive representation of soil water flows are offered.

[1]  N. L. M. B. van Schaik,et al.  Spatial variability of infiltration patterns related to site characteristics in a semi-arid watershed , 2009 .

[2]  George M. Hornberger,et al.  Inferences about solute transport in macroporous forest soils from time series models. , 1990 .

[3]  Tammo S. Steenhuis,et al.  Preferential paths of flow under conventional and conservation tillage , 1990 .

[4]  Keith Beven,et al.  Robert E. Horton's perceptual model of infiltration processes , 2004 .

[5]  M. Donatelli,et al.  SOILPAR 2.00: software to estimate soil hydrological parameters and functions , 2003 .

[6]  Nick A. Chappell,et al.  Soil pipe distribution and hydrological functioning within the humid tropics: a synthesis , 2010 .

[7]  Budiman Minasny,et al.  From pedotransfer functions to soil inference systems , 2002 .

[8]  David Russo,et al.  Numerical analysis of flow and transport in a combined heterogeneous vadose zone–groundwater system , 2000 .

[9]  Stephen R. Green,et al.  Preferential flow and transport in soil: progress and prognosis , 2007 .

[10]  J. A. Jones,et al.  Soil piping and catchment response , 2010 .

[11]  Brian L. McGlynn,et al.  A review of the evolving perceptual model of hillslope flowpaths at the Maimai catchments, New Zealand , 2002 .

[12]  A. Bejan Shape and Structure, from Engineering to Nature , 2000 .

[13]  Peter F. Germann,et al.  Gravity‐Driven and Viscosity‐Dominated Infiltration into a Full‐Scale Sand Model , 2008 .

[14]  Hanoch Lavee,et al.  Overland flow generation and continuity on stone‐covered soil surfaces , 1991 .

[15]  P. Germann,et al.  Impact of initial and boundary conditions on preferential flow. , 2009, Journal of contaminant hydrology.

[16]  Aldo Fiori,et al.  Numerical analyses of subsurface flow in a steep hillslope under rainfall: The role of the spatial heterogeneity of the formation hydraulic properties , 2007 .

[17]  K. E. Thatcher,et al.  Combining unsaturated and saturated hydraulic observations to understand and estimate groundwater recharge through glacial till , 2010 .

[18]  J. Klaus,et al.  A novel explicit approach to model bromide and pesticide transport in soils containing macropores , 2011 .

[19]  I. Cordery,et al.  Formation of runoff at the hillslope scale during intense precipitation , 2006 .

[20]  Markus Weiler,et al.  New Dimensions of Hillslope Hydrology , 2011 .

[21]  Younes Alila,et al.  Subsurface flow velocities in a hillslope with lateral preferential flow , 2009 .

[22]  Stefan Uhlenbrook,et al.  Catchment hydrology—a science in which all processes are preferential , 2006 .

[23]  Peter F. Germann,et al.  Rivulet Approach to Rates of Preferential Infiltration , 2007 .

[24]  Johan Bouma,et al.  Soil morphology and preferential flow along macropores , 1981 .

[25]  Keith Beven,et al.  FLOW SEPARATION IN UNDISTURBED SOIL USING MULTIPLE ANIONIC TRACERS. PART 2. STEADY‐STATE CORE‐SCALE RAINFALL AND RETURN FLOWS AND DETERMINATION OF DISPERSION PARAMETERS , 1996 .

[26]  Thomas J. Nicholson,et al.  Flow and transport through unsaturated fractured rock , 1987 .

[27]  J. Bouma,et al.  Comment on “Micro-, Meso-, and Macroporosity of Soil” , 1981 .

[28]  Takahisa Mizuyama,et al.  Effects of pipeflow on hydrological process and its relation to landslide: a review of pipeflow studies in forested headwater catchments , 2001 .

[29]  Jeffrey J. McDonnell,et al.  A rationale for old water discharge through macropores in a steep, humid catchment. , 1990 .

[30]  Lars Bergström,et al.  Simulation of dichlorprop and bentazon leaching in soils of contrasting texture using the MACRO model , 1994 .

[31]  Karsten H. Jensen,et al.  Visualizing Unsaturated Flow Phenomena Using High‐Resolution Reflection Ground Penetrating Radar , 2011 .

[32]  K. Beven,et al.  A physically based model of heterogeneous hillslopes: 2. Effective hydraulic conductivities , 1989 .

[33]  Adrian Bejan,et al.  Heterogeneous porous media as multiscale structures for maximum flow access , 2006 .

[34]  Jeffrey J. McDonnell,et al.  Integrating tracer experiments with modeling to assess runoff processes and water transit times , 2007 .

[35]  M. V. Genuchten,et al.  A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media , 1993 .

[36]  Jeffrey J. McDonnell,et al.  Hydrological connectivity of hillslopes and streams: Characteristic time scales and nonlinearities , 2010 .

[37]  B. McGlynn,et al.  Hierarchical controls on runoff generation: Topographically driven hydrologic connectivity, geology, and vegetation , 2011 .

[38]  E O Frind,et al.  Transport in preferential flow domains of the soil porous system: measurement, interpretation, modelling, and upscaling. , 2009, Journal of contaminant hydrology.

[39]  Markus Weiler,et al.  Hillslope dynamics modeled with increasing complexity , 2008 .

[40]  David Russo,et al.  First‐order and numerical analyses of flow and transport in heterogeneous bimodal variably saturated formations , 2010 .

[41]  Markus Weiler,et al.  Interactions and connectivity between runoff generation processes of different spatial scales , 2014 .

[42]  J. A. A. Jones,et al.  A semi-distributed simulation model for natural pipeflow , 2002 .

[43]  S. R. Workman,et al.  PREFLO: A WATER MANAGEMENT MODEL CAPABLE OF SIMULATING PREFERENTIAL FLOW , 1990 .

[44]  Tammo S. Steenhuis,et al.  Quantifying Pore‐Size Spectrum of Macropore‐Type Preferential Pathways , 2005 .

[45]  Keith Beven,et al.  Flow separation in undisturbed soil using multiple anionic tracers (2) steady state core scale rainfall and return flows. , 1996 .

[46]  Jirka Šimůnek,et al.  Modeling Nonequilibrium Flow and Transport Processes Using HYDRUS , 2008 .

[47]  J. Wösten,et al.  The HYPRES database of hydraulic properties of European soils , 2000 .

[48]  Peter Lehmann,et al.  Hydrology and Earth System Sciences Rainfall Threshold for Hillslope Outflow: an Emergent Property of Flow Pathway Connectivity , 2022 .

[49]  Keith Beven,et al.  The role of bedrock topography on subsurface storm flow , 2002 .

[50]  Markus Weiler,et al.  Conceptualizing lateral preferential flow and flow networks and simulating the effects on gauged and ungauged hillslopes , 2007 .

[51]  John Maximilian Köhne,et al.  A review of model applications for structured soils: a) Water flow and tracer transport. , 2009, Journal of contaminant hydrology.

[52]  B. Griffiths,et al.  An investigation into sources of soil crack heterogeneity using fractal geometry , 1997 .

[53]  Martin Kaupenjohann,et al.  Water flow patterns and pesticide fluxes in an upland soil in northern Thailand , 2005 .

[54]  Keith Beven,et al.  Isotope studies of pipeflow at Plynlimon, Wales, UK. , 1996 .

[55]  Keith Beven,et al.  Searching for the Holy Grail of scientific hydrology: Q t =( S, R, Δt ) A as closure , 2006 .

[56]  John F. Dowd,et al.  A new interpretation of kinematic stormflow generation , 2002 .

[57]  Adrian P. Butler,et al.  Controls on preferential recharge to Chalk aquifers , 2011 .

[58]  T. Günther,et al.  Comparison of Heterogeneous Transport Processes Observed with Electrical Resistivity Tomography in Two Soils , 2010 .

[59]  Keith Beven Micro-, Meso-, Macroporosity and Channeling Flow Phenomena in Soils , 1981 .

[60]  James M. Buttle,et al.  Coupled vertical and lateral preferential flow on a forested slope , 2002 .

[61]  J. C. van Dam,et al.  Parameterization of Macropore Flow Using Dye‐Tracer Infiltration Patterns in the SWAP Model , 2010 .

[62]  Lars Nyberg Soil- and groundwater distribution, flowpaths, and transit times in a small till catchment , 1995 .

[63]  K. Beven,et al.  Macropores and water flow in soils , 1982 .

[64]  Katerina Michaelides,et al.  Connectivity as a concept for characterising hydrological behaviour , 2009 .

[65]  W. J. Rawls,et al.  Fractal Description of Macroporosity , 1992 .

[66]  J. B. Sisson,et al.  Simple Method for Predicting Drainage from Field Plots1 , 1980 .

[67]  Keith Beven,et al.  Three‐dimensional modelling of hillslope hydrology , 1992 .

[68]  Keith Loague,et al.  Physics‐based hydrologic‐response simulation: Seeing through the fog of equifinality , 2006 .

[69]  Keith Beven,et al.  Changing ideas in hydrology — The case of physically-based models , 1989 .

[70]  Teamrat A. Ghezzehei,et al.  Liquid fragmentation and intermittent flow regimes in unsaturated fractured media , 2005 .

[71]  J. Dam,et al.  Advances of Modeling Water Flow in Variably Saturated Soils with SWAP , 2008 .

[72]  Artemi Cerdà,et al.  Soil hydrological response under simulated rainfall in the Dehesa land system (Extremadura, SW Spain) under drought conditions , 1998 .

[73]  Allan L. Gutjahr,et al.  Stochastic Analysis of Unsaturated Flow in Heterogeneous Soils: 1. Statistically Isotropic Media , 1985 .

[74]  Aristotelis Mantoglou,et al.  Stochastic modeling of large‐scale transient unsaturated flow systems , 1987 .

[75]  Bernd Huwe,et al.  A risk index for characterising flow pattern in soils using dye tracer distributions. , 2005, Journal of contaminant hydrology.

[76]  Suzanne E. Allaire,et al.  Quantifying preferential flow in soils: A review of different techniques , 2009 .

[77]  Keith Loague,et al.  A Type Transfer Function Approach for Regional-Scale Pesticide Leaching Assessments , 1999 .

[78]  R. Bryan,et al.  The significance of soil piping processes: inventory and prospect , 1997 .

[79]  Takahisa Mizuyama,et al.  A three-dimensional model of the effect of stemflow on soil water dynamics around a tree on a hillslope. , 2009 .

[80]  David R. Montgomery,et al.  Piezometric response in shallow bedrock at CB1: Implications for runoff generation and landsliding , 2002 .

[81]  Peter F. Germann,et al.  Comment on “Theory for Source‐Responsive and Free‐Surface Film Modeling of Unsaturated Flow” , 2010 .

[82]  Kevin Bishop,et al.  Resolving the Double Paradox of rapidly mobilized old water with highly variable responses in runoff chemistry , 2004 .

[83]  Keith Beven,et al.  WATER FLOW IN SOIL MACROPORES I. AN EXPERIMENTAL APPROACH , 1981 .

[84]  Keith Beven,et al.  FLOW SEPARATION IN UNDISTURBED SOIL USING MULTIPLE ANIONIC TRACERS. PART 3: UNSTEADY CORE-SCALE INFILTRATION EXPERIMENTS , 1996 .

[85]  Peter Kienzler,et al.  Vectors of subsurface stormflow in a layered hillslope during runoff initiation , 2005 .

[86]  K. Beven Rainfall-Runoff Modelling: The Primer , 2012 .

[87]  Pavol Prokop,et al.  Reedbed structure and habitat preference of reed passerines during the post-breeding period , 2006, Biologia.

[88]  Takahisa Mizuyama,et al.  Runoff characteristics of pipeflow and effects of pipeflow on rainfall-runoff phenomena in a mountainous watershed , 1999 .

[89]  Felix Naef,et al.  Subsurface storm flow formation at different hillslopes and implications for the ‘old water paradox’ , 2008 .

[90]  Carlos Ochoa,et al.  Water Movement through a Shallow Vadose Zone: A Field Irrigation Experiment , 2009 .

[91]  Mark O. Cuthbert,et al.  Linking soil moisture balance and source-responsive models to estimate diffuse and preferential components of groundwater recharge , 2012 .

[92]  P. Blackwell,et al.  Management of water repellency in Australia, and risks associated with preferential flow, pesticide concentration and leaching. , 2000 .

[93]  G. W. Thomas,et al.  Kinematic wave approximation to the transport of Escherichia coli in the vadose zone , 1987 .

[94]  H.W.G. Booltink,et al.  Using fractal dimensions of stained flow patterns in a clay soil to predict bypass flow. , 1992 .

[95]  Keith Beven,et al.  Preferential flows and travel time distributions: defining adequate hypothesis tests for hydrological process models , 2010 .

[96]  F. Naef,et al.  A combined field and numerical approach to investigate flow processes in natural macroporous soils under extreme precipitation , 1997 .

[97]  Allen G. Hunt,et al.  Relevance of percolation theory to power-law behavior of dynamic processes including transport in disordered media , 2009, Complex..

[98]  Todd C. Rasmussen,et al.  Tracer vs. pressure wave velocities through unsaturated saprolite , 2000 .

[99]  Erwin Zehe,et al.  The principle of ‘maximum energy dissipation’: a novel thermodynamic perspective on rapid water flow in connected soil structures , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[100]  John Ewen,et al.  ‘SAMP’ model for water and solute movement in unsaturated porous media involving thermodynamic subsystems and moving packets: l. Theory , 1996 .

[101]  M. V. Genuchten,et al.  Review and comparison of models for describing non-equilibrium and preferential flow and transport in the vadose zone , 2003 .

[102]  Peter F. Germann,et al.  Dissipation of momentum during flow in soils , 1998 .

[103]  Tomomi Terajima,et al.  Experimental studies on the effects of pipeflow on throughflow partitioning , 1995 .

[104]  S. Colbeck,et al.  A Theory of Water Percolation in Snow , 1972, Journal of Glaciology.

[105]  M J Lighthill,et al.  ON KINEMATIC WAVES.. , 1955 .

[106]  P. Germann,et al.  WATER FLOW IN SOIL MACROPORES II. A COMBINED FLOW MODEL , 1981 .

[107]  John Bennet Lawes,et al.  On the amount and composition of the rain and drainage-waters collected at Rothamsted , 1881 .

[108]  Todd C. Rasmussen,et al.  Pressure wave vs. tracer velocities through unsaturated fractured rock , 2013 .

[109]  H. D. Scott,et al.  A SOIL CLASSIFICATION SYSTEM FOR DESCRIBING WATER AND CHEMICAL TRANSPORT , 1993 .

[110]  Gunnar Nützmann,et al.  Controls of land use and soil structure on water movement: lessons for pollutant transfer through the unsaturated zone. , 2009 .

[111]  L. B. Owens,et al.  Profiles of Bromide and Increased Soil Moisture after Infiltration into Soils with Macropores1 , 1984 .

[112]  K. Beven Kinematic subsurface stormflow , 1981 .

[113]  B. Cardinale,et al.  Dynamic interactions of life and its landscape: feedbacks at the interface of geomorphology and ecology , 2010 .

[114]  J.-Y. Parlange,et al.  Fractals in soil science , 1998 .

[115]  Hannes Flühler,et al.  SUSCEPTIBILITY OF SOILS TO PREFERENTIAL FLOW OF WATER : A FIELD STUDY , 1994 .

[116]  Louise J. Bracken,et al.  The concept of hydrological connectivity and its contribution to understanding runoff‐dominated geomorphic systems , 2007 .

[117]  Victor Jetten,et al.  The influence of preferential flow on hillslope hydrology in a semi‐arid watershed (in the Spanish Dehesas) , 2008 .

[118]  M. Schaap,et al.  ROSETTA: a computer program for estimating soil hydraulic parameters with hierarchical pedotransfer functions , 2001 .

[119]  B. Cobb,et al.  An Experimental Approach , 1957 .

[120]  Liliana Di Pietro,et al.  Predicting preferential water flow in soils by traveling-dispersive waves , 2003 .

[121]  Jeffrey J. McDonnell,et al.  Hillslope threshold response to rainfall: (2) Development and use of a macroscale model , 2010 .

[122]  Andrew Binley,et al.  Electrical imaging of saline tracer migration for the investigation of unsaturated zone transport mechanisms. , 1997 .

[123]  Yuichi Onda,et al.  Are headwaters just the sum of hillslopes? , 2005 .

[124]  Liliana Di Pietro,et al.  Scales and dimensions of momentum dissipation during preferential flow in soils , 1999 .

[125]  Tammo S. Steenhuis,et al.  A Simple Equation for Predicting Preferential Flow Solute Concentrations. , 1994, Journal of environmental quality.

[126]  J. McDonnell,et al.  Effect of bedrock permeability on subsurface stormflow and the water balance of a trenched hillslope at the Panola Mountain Research Watershed, Georgia, USA , 2007 .

[127]  Keith Beven,et al.  Dalton Medal Lecture: How far can we go in distributed hydrological modelling? , 2001 .

[128]  Keith Beven Robert Horton’s perceptual model of infiltration. , 2004 .

[129]  R. D. Barker,et al.  The use of electrical resistivity tomography in deriving local-scale models of recharge through superficial deposits , 2009 .

[130]  John A. Dunbar,et al.  Geoelectric Studies of Seasonal Wetting and Drying of a Texas Vertisol , 2007 .

[131]  Jeffrey J. McDonnell,et al.  Tracer and hydrometric study of preferential flow in large undisturbed soil cores from the Georgia Piedmont, USA , 1999 .

[132]  Tammo S. Steenhuis,et al.  Preferential flow in water-repellent sands , 1998 .

[133]  R. J. Luxmoore,et al.  Micro-, Meso-, and Macroporosity of Soil , 1981 .

[134]  Stéphane Zaleski,et al.  Modeling water infiltration in unsaturated porous media by interacting lattice gas‐cellular automata , 1994 .

[135]  Jeffrey J. McDonnell,et al.  High‐frequency field‐deployable isotope analyzer for hydrological applications , 2009 .

[136]  Marc B. Parlange,et al.  Vadose Zone Hydrology: Cutting Across Disciplines , 1999 .

[137]  Tammo S. Steenhuis,et al.  Quantifying the Pore Size Spectrum of Macropore‐Type Preferential Pathways under Transient Flow , 2006 .

[138]  Kevin Bishop,et al.  Water transit times and flow paths from two line injections of 3H and 36Cl in a microcatchment at Gårdsjön, Sweden , 1999 .

[139]  Tomomi Terajima,et al.  Morphology, structure and flow phases in soil pipes developing in forested hillslopes underlain by a Quaternary sand–gravel formation, Hokkaido, northern main island in Japan , 2000 .

[140]  John Maximilian Köhne,et al.  A review of model applications for structured soils: b) Pesticide transport. , 2009, Journal of contaminant hydrology.

[141]  Keith Beven,et al.  On the Variation of Infiltration Into a Homogeneous Soil Matrix Containing a Population of Macropores , 1986 .

[142]  J. Moncrief,et al.  Water and solute movement in soil as influenced by macropore characteristics 1. Macropore continuity , 1999 .

[143]  J. Davies,et al.  Scaling implications of a new multiple interacting pathways hillslope model , 2010 .

[144]  Taro Uchida,et al.  Spatial variability in the flowpath of hillslope runoff and streamflow in a meso‐scale catchment , 2010 .

[145]  Yutaka Ichikawa,et al.  A physically based distributed subsurface–surface flow dynamics model for forested mountainous catchments , 2005 .

[146]  Felix Naef,et al.  Simulating surface and subsurface initiation of macropore flow , 2003 .

[147]  Karsten H. Jensen,et al.  Flow and transport processes in a macroporous subsurface-drained glacial till soil I: Field investigations , 1998 .

[148]  Keith Beven,et al.  A discrete particle representation of hillslope hydrology: hypothesis testing in reproducing a tracer experiment at Gårdsjön, Sweden , 2011 .

[149]  C. Duffy,et al.  A semidiscrete finite volume formulation for multiprocess watershed simulation , 2007 .

[150]  Nick A. Chappell,et al.  Effects of experimental uncertainty on the calculation of hillslope flow paths , 2000 .

[151]  A. Musy,et al.  Flow, mixing, and displacement in using a data‐based hydrochemical model to predict conservative tracer data , 2007 .

[152]  R. J. Luxmoore,et al.  Estimating Macroporosity in a Forest Watershed by use of a Tension Infiltrometer1 , 1986 .

[153]  Shuangcai Li,et al.  Quantification of 3-D soil macropore networks in different soil types and land uses using computed tomography , 2010 .

[154]  S. A. Hagrey,et al.  Preferential flow: first results of a full-scale flow model , 1999 .

[155]  Richard P. Hooper,et al.  Moving beyond heterogeneity and process complexity: A new vision for watershed hydrology , 2007 .

[156]  T. Mayr,et al.  MACRO—DB: a decision-support tool for assessing pesticide fate and mobility in soils , 1997 .

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

[158]  P. F. Germann,et al.  Rate, kinetic energy and momentum of preferential flow estimated from in situ water content measurements , 2002 .

[159]  Erwin Zehe,et al.  Preferential transport of isoproturon at a plot scale and a field scale tile-drained site , 2001 .

[160]  Younes Alila,et al.  Piezometric response in zones of a watershed with lateral preferential flow as a first‐order control on subsurface flow , 2010 .

[161]  Markus Weiler,et al.  Continuous in situ measurements of stable isotopes in liquid water , 2012 .

[162]  J. Skopp,et al.  Comment on “Micro-, Meso-, and Macroporosity of Soil” , 1981 .

[163]  Peter F. Germann,et al.  Kinematic Wave Approach to Infiltration and Drainage into and from Soil Macropores , 1985 .

[164]  Keith Beven,et al.  Data‐based modelling of runoff and chemical tracer concentrations in the Haute‐Mentue research catchment (Switzerland) , 2005 .

[165]  Hannes Flühler,et al.  Inferring flow types from dye patterns in macroporous soils , 2004 .

[166]  J. Nieber,et al.  Soil pipe contribution to steady subsurface stormflow , 1991 .

[167]  Michal Sněhota,et al.  Tracing the Entrapped Air in Heterogeneous Soil by Means of Magnetic Resonance Imaging , 2010 .

[168]  Tammo S. Steenhuis,et al.  A GIS‐Based Ground Water Contamination Risk Assessment Tool for Pesticides , 2005 .

[169]  Tammo S. Steenhuis,et al.  Fingered flow in two dimensions: 2. Predicting finger moisture profile , 1992 .

[170]  S. O. Prasher,et al.  Mass fractal dimension of soil macropores using computed tomography: from the box‐counting to the cube‐counting algorithm , 2003 .

[171]  C. B. Graham,et al.  Controls and Frequency of Preferential Flow Occurrence: A 175‐Event Analysis , 2011 .

[172]  Stefan Geyer,et al.  Water percolation through the deep vadose zone and groundwater recharge: Preliminary results based on a new vadose zone monitoring system , 2007 .

[173]  J.-Y. Parlange Simple Method for Predicting Drainage from Field Plots , 1982 .

[174]  Abdallah Alaoui,et al.  Evaluation of soil compaction using hydrodynamic water content variation: Comparison between compacted and non-compacted soil , 2006 .

[175]  Shoji Noguchi,et al.  Morphological Characteristics of Macropores and the Distribution of Preferential Flow Pathways in a Forested Slope Segment , 1999 .

[176]  Randall J. Charbeneau,et al.  Kinematic Models for Soil Moisture and Solute Transport , 1984 .

[177]  A. P. Annan,et al.  Electromagnetic determination of soil water content: Measurements in coaxial transmission lines , 1980 .

[178]  Bärbel Tiemeyer,et al.  Artificially Drained Catchments—From Monitoring Studies towards Management Approaches , 2010 .

[179]  Jens Christian Refsgaard,et al.  Fluorescence imaging applied to tracer distributions in variably saturated fractured clayey till. , 2008, Journal of environmental quality.

[180]  Jeff Warburton,et al.  Significance of geomorphological and subsurface drainage controls on failures of peat‐covered hillslopes triggered by extreme rainfall , 2007 .

[181]  Peter F. Germann,et al.  Preferential transport of water and 131 Iodide in a clay loam assessed with TDR-techniques and boundary-layer flow theory , 1997 .

[182]  R. E. Phillips,et al.  Consequences of Water Movement in Macropores 1 , 1979 .

[183]  Christine Doughty Investigation of conceptual and numerical approaches for evaluating moisture, gas, chemical, and heat transport in fractured unsaturated rock , 1999 .

[184]  Murugesu Sivapalan,et al.  A preferential flow leaching index , 2009 .

[185]  Richard Teeuw,et al.  Variations in soil dispersivity across a gully head displaying shallow sub‐surface pipes, and the role of shallow pipes in rill initiation , 2004 .

[186]  A. Binley,et al.  Imaging Brilliant Blue Stained Soil by Means of Electrical Resistivity Tomography , 2009 .

[187]  Erwin Zehe,et al.  Applied tracers for the observation of subsurface stormflow at the hillslope scale , 2009 .

[188]  Michael T. Goodrich,et al.  Application of a validation strategy to Darcy's experiment , 1992 .

[189]  Ole H. Jacobsen,et al.  Field Investigations and Modeling of Particle‐Facilitated Pesticide Transport in Macroporous Soil , 2000 .

[190]  L. A. Richards Capillary conduction of liquids through porous mediums , 1931 .

[191]  Lowe,et al.  Numerical evaluation of the permeability and the Kozeny constant for two types of porous media. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[192]  Chittaranjan Ray,et al.  A screening tool for vulnerability assessment of pesticide leaching to groundwater for the islands of Hawaii, USA. , 2007, Pest management science.

[193]  Gedeon Dagan,et al.  Unsaturated flow in spatially variable fields: 1. Derivation of models of infiltration and redistribution , 1983 .

[194]  Markus Flury,et al.  Experimental evidence of transport of pesticides through field soils - a review , 1996 .

[195]  J. Kirchner A double paradox in catchment hydrology and geochemistry , 2003 .

[196]  N. J. Jarvis,et al.  Evaluation of a dual-porosity model to predict field-scale solute transport in a macroporous soil , 1999 .

[197]  A. Binley,et al.  Snowmelt infiltration: monitoring temporal and spatial variability using time-lapse electrical resistivity , 2004 .

[198]  John L. Nieber,et al.  How do disconnected macropores in sloping soils facilitate preferential flow? , 2010 .

[199]  N. Jarvis A review of non‐equilibrium water flow and solute transport in soil macropores: principles, controlling factors and consequences for water quality , 2007 .

[200]  Erwin Zehe,et al.  Slope scale variation of flow patterns in soil profiles , 2001 .

[201]  Shoji Noguchi,et al.  Stormflow generation in steep forested headwaters: a linked hydrogeomorphic paradigm , 2000 .

[202]  L. C. Brown,et al.  Pesticide Transport to Subsurface Tile Drains in Humid Regions of North America , 2001 .

[203]  Jeffrey J. McDonnell,et al.  The role of lateral pipe flow in hillslope runoff response: an intercomparison of non-linear hillslope response , 2005 .

[204]  D. K. Solomon,et al.  Numerical simulation of unsaturated flow along preferential pathways: implications for the use of mass balance calculations for isotope storm hydrograph separation , 2002 .

[205]  Erwin Zehe,et al.  Use of soil moisture dynamics and patterns at different spatio-temporal scales for the investigation of subsurface flow processes , 2009 .

[206]  K. Beven On subsurface stormflow: Predictions with simple kinematic theory for saturated and unsaturated flows , 1982 .

[207]  Donald L. Turcotte,et al.  Fractal River Basins–Chance and Self‐organization , 1998 .

[208]  Peter Greminger Physikalisch ökologische Standortsuntersuchung über den Wasserhaushalt im offenen Sickersystem Boden unter Vegetation am Hang , 1982 .

[209]  Michael Zimmermann,et al.  Directions of preferential flow in a hillslope soil, 1. Quasi‐steady flow , 2005 .

[210]  David Russo,et al.  Stochastic Analysis of the Velocity Covariance and the Displacement Covariance Tensors in Partially Saturated Heterogeneous Anisotropic Porous Formations , 1995 .

[211]  Markus Weiler,et al.  An infiltration model based on flow variability in macropores: development, sensitivity analysis and applications , 2005 .

[212]  A. Gutjahr,et al.  Stochastic Analysis of Unsaturated Flow in Heterogeneous Soils: 2. Statistically Anisotropic Media With Variable α , 1985 .

[213]  B. Mohanty,et al.  Uncertainty in dual permeability model parameters for structured soils , 2012, Water resources research.

[214]  Peter F. Germann,et al.  Drag force approach to the transport of colloids in unsaturated soils , 2002 .

[215]  Julian Klaus,et al.  Modelling rapid flow response of a tile‐drained field site using a 2D physically based model: assessment of ‘equifinal’ model setups , 2010 .

[216]  S. O. Prasher,et al.  Three‐Dimensional Quantification of Macropore Networks in Undisturbed Soil Cores , 1999 .

[217]  Chris Moran,et al.  3D reconstruction and quantification of macropores using X-ray computed tomography and image analysis , 2002 .

[218]  S. R. Hencher,et al.  Preferential flow paths through soil and rock and their association with landslides , 2010 .

[219]  Philippe Baveye,et al.  Preferential Transport of Cryptosporidium parvum Oocysts in Variably Saturated Subsurface Environments , 2003, Water environment research : a research publication of the Water Environment Federation.

[220]  Roger E. Smith Approximate Soil Water Movement by Kinematic Characteristics1 , 1983 .

[221]  Horst H. Gerke,et al.  Combining dual-continuum approach with diffusion wave model to include a preferential flow component in hillslope scale modeling of shallow subsurface runoff , 2012 .

[222]  Keith Beven,et al.  Robert E. Horton and abrupt rises of ground water , 2004 .

[223]  Adrian Bejan,et al.  Constructal theory of pattern formation , 2006 .

[224]  M. A. Sabry,et al.  Mineralogy of Compacted Clay-Lime Mixtures 1 , 1981 .

[225]  N. J. Jarvis,et al.  Quantifying the impact of preferential flow on solute transport to tile drains in a sandy field soil , 1999 .

[226]  Zbigniew W. Kundzewicz,et al.  Editorial—Quantifying the impact of hydrological studies , 2007 .

[227]  Keith Beven,et al.  WATER FLOW IN SOIL MACROPORES III. A STATISTICAL APPROACH , 1981 .

[228]  Kevin Bishop,et al.  Transit Times for Water in a Small Till Catchment from a Step Shift in the Oxygen 18 Content of the Water Input , 1996 .

[229]  A. Binley,et al.  Flow pathways in porous media: electrical resistance tomography and dye staining image verification , 1996 .

[230]  Aldo Fiori,et al.  Travel time distribution in a hillslope: Insight from numerical simulations , 2008 .

[231]  Felix Naef,et al.  An experimental tracer study of the role of macropores in infiltration in grassland soils , 2003 .

[232]  Vijay P. Singh,et al.  Momentum of flow in soils assessed with TDR-moisture readings , 1997 .

[233]  Keith Beven,et al.  Comparison of a Multiple Interacting Pathways model with a classical kinematic wave subsurface flow solution , 2012 .

[234]  Benjamin B. Mirus,et al.  Physics‐based hydrologic‐response simulation: foundation for hydroecology and hydrogeomorphology , 2006 .

[235]  G. Wilson Understanding soil‐pipe flow and its role in ephemeral gully erosion , 2011 .

[236]  Per-Erik Jansson,et al.  Modelling water and solute transport in macroporous soil. I. Model description and sensitivity analysis , 1991 .

[237]  John L. Nieber,et al.  Enhancement of seepage and lateral preferential flow by biopores on hillslopes , 2006, Biologia.

[238]  Peter F. Germann,et al.  Water Content Wave Approach Applied to Neutron Radiographs of Finger Flow , 2010 .

[239]  Peter F. Germann,et al.  Abstraction from Infiltrating Water Content Waves during Weak Viscous Flows , 2009 .

[240]  Satish C. Gupta,et al.  Water and solute movement in soil as influenced by macropore characteristics. 2. Macropore tortuosity , 2000 .

[241]  Younes Alila,et al.  Dye staining and excavation of a lateral preferential flow network. , 2008 .

[242]  K. Kung,et al.  Preferential flow in a sandy vadose zone: 1. Field observation , 1990 .

[243]  Bhavna Arora,et al.  Inverse estimation of parameters for multidomain flow models in soil columns with different macropore densities , 2011, Water resources research.

[244]  Jeffrey J. McDonnell,et al.  Hillslope threshold response to rainfall: (1) A field based forensic approach , 2010 .

[245]  Keith Beven,et al.  On subsurface stormflow: an analysis of response times , 1982 .

[246]  Tammo S. Steenhuis,et al.  Are preferential flow paths perpetuated by microbial activity in the soil matrix? A review , 2010 .

[247]  Keith Beven,et al.  Kinematic Wave Approximation to Infiltration Into Soils With Sorbing Macropores , 1985 .

[248]  Takahisa Mizuyama,et al.  Anomalous behavior of soil mantle groundwater demonstrates the major effects of bedrock groundwater on surface hydrological processes , 2008 .

[249]  John L. Nieber,et al.  Preferential and Unstable Flow: From the Pore to the Catchment Scale , 2010 .

[250]  L. Di Pietro Application of a lattice-gas numerical algorithm to modelling water transport in fractured porous media , 1996 .

[251]  Adrian Bejan,et al.  The constructal law of design and evolution in nature , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[252]  Horst H. Gerke,et al.  Two‐Dimensional Dual‐Permeability Analyses of a Bromide Tracer Experiment on a Tile‐Drained Field , 2007 .

[253]  Peter A. Troch,et al.  Intercomparing hillslope hydrological dynamics: Spatio‐temporal variability and vegetation cover effects , 2012 .

[254]  Tammo S. Steenhuis,et al.  Impact of Preferential Flow on the Transport of Adsorbing and Non-Adsorbing Tracers , 2000 .

[255]  Keith Beven,et al.  On the Value of Local Measurements for Prediction of Pesticide Transport at the Field Scale , 2006 .

[256]  John R. Nimmo,et al.  Theory for Source‐Responsive and Free‐Surface Film Modeling of Unsaturated Flow , 2010 .

[257]  Jeffrey J. McDonnell,et al.  Gypsies in the palace: experimentalist's view on the use of 3‐D physics‐based simulation of hillslope hydrological response , 2010 .

[258]  Kai Uwe Totsche,et al.  Pesticide displacement along preferential flow pathways in a Brazilian Oxisol , 2002 .

[259]  Hannes Flühler,et al.  Multiple tracing of fast solute transport in a drained grassland soil , 2002 .

[260]  Karin Laursen,et al.  A conceptual model of preferential flow systems in forested hillslopes: evidence of self‐organization , 2001 .

[261]  Sally D. Logsdon,et al.  FLOW MECHANISMS THROUGH CONTINUOUS AND BURIED MACROPORES , 1995 .

[262]  M. Lighthill,et al.  On kinematic waves I. Flood movement in long rivers , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[263]  Horst H. Gerke,et al.  Preferential flow descriptions for structured soils , 2006 .

[264]  Brent Clothier,et al.  Measurement of Sorptivity and Soil Water Diffusivity in the Field , 1981 .

[265]  Younes Alila,et al.  A model of rapid preferential hillslope runoff contributions to peak flow generation in a temperate rain forest watershed , 2004 .

[266]  Gunnar Nützmann,et al.  Benchmarking of Two Dual‐Permeability Models under Different Land Use and Land Cover , 2010 .

[267]  Keith Beven,et al.  Kinematic wave approximation to the initiation of subsurface storm flow in a sloping forest soil , 1986 .

[268]  Carlos Sancho,et al.  Quantitative study of piping processes in badland areas of the Ebro Basin, NE Spain , 1997 .