Pattern‐process relationships in surface hydrology: hydrological connectivity expressed in landscape metrics

The degree of hydrological connectivity is mainly determined by the spatial organisation of heterogeneity. A meaningful and aggregate abstraction of spatial patterns is one of the promising means to gain fundamental insights into this complex interaction and can, moreover, be used as a tool to acquire a profound understanding of the major controls of catchment hydrology. In order to disclose such controls, pattern-process relationships and the explanatory power of landscape metrics were tested by simulating the runoff of differently patterned virtual basins, generated by neutral landscape models and fractal networks and solved by a surface hydrological model composed of kinematic wave routing and Green-Ampt infiltration. A total of 23 landscape metrics quantified the spatial patterns and were subsequently related to the functional connectivity, assessed as the proportion of internal runoff generation constituting the hydrological response at the outlet. Landscape metrics allowed the identification of dominant features of heterogeneity that explained the observed connectivity, and to disclose changes in control with class abundance. Therefore, landscape metrics are a useful tool for basin comparison and classification in terms of the dominant processes and the corresponding model structure requirements. Copyright © 2011 John Wiley & Sons, Ltd.

[1]  J. Kirchner.  Getting the right answers for the right reasons: Linking measurements, analyses, and models to advance the science of hydrology , 2006 .

[2]  Nigel T. Roulet,et al.  Investigating hydrologic connectivity and its association with threshold change in runoff response in a temperate forested watershed , 2007 .

[3]  Mathieu Javaux,et al.  What indicators can capture runoff-relevant connectivity properties of the micro-topography at the plot scale? , 2009 .

[4]  T. Keitt.  Spectral representation of neutral landscapes , 2004, Landscape Ecology.

[5]  Hanoch Lavee,et al.  Analysis of soil surface component patterns affecting runoff generation. An example of methods applied to Mediterranean hillslopes in Alicante (Spain) , 2008 .

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

[7]  Juan Puigdefábregas,et al.  The role of vegetation patterns in structuring runoff and sediment fluxes in drylands , 2005 .

[8]  Günter Blöschl,et al.  Scaling in hydrology , 2001 .

[9]  S. Attinger,et al.  Importance of spatial structures in advancing hydrological sciences , 2006 .

[10]  J. Peyrière,et al.  Processus de naissance avec interaction des voisins, évolution de graphes , 1981 .

[11]  John Gowing,et al.  Parched-Thirst: development and validation of a process-based model of rainwater harvesting , 2002 .

[12]  Jay M. Ver Hoef,et al.  Geostatistical modelling on stream networks: developing valid covariance matrices based on hydrologic distance and stream flow , 2007 .

[13]  John B. Vogler,et al.  Hydrological consequences of landscape fragmentation in mountainous northern Vietnam: Buffering of Hortonian overland flow , 2007 .

[14]  Jeffrey J. McDonnell,et al.  Connectivity at the hillslope scale: identifying interactions between storm size, bedrock permeability, slope angle and soil depth. , 2009 .

[15]  Susana Bautista,et al.  Measurement of the connectivity of runoff source areas as determined by vegetation pattern and topography: A tool for assessing potential water and soil losses in drylands , 2008 .

[16]  W. Green,et al.  Studies on Soil Phyics. , 1911, The Journal of Agricultural Science.

[17]  M. Turner,et al.  LANDSCAPE ECOLOGY : The Effect of Pattern on Process 1 , 2002 .

[18]  Nicolas Bellin,et al.  Application of connectivity theory to model the impact of terrace failure on runoff in semi‐arid catchments , 2009 .

[19]  Simon Mockler,et al.  Sediment concentration changes in runoff pathways from a forest road network and the resultant spatial pattern of catchment connectivity , 2005 .

[20]  R. O'Neill,et al.  A hierarchical neutral model for landscape analysis , 1992, Landscape Ecology.

[21]  Jeffrey J. McDonnell,et al.  Testing nutrient flushing hypotheses at the hillslope scale: A virtual experiment approach , 2006 .

[22]  Harry Vereecken,et al.  ESTIMATING THE SOIL MOISTURE RETENTION CHARACTERISTIC FROM TEXTURE, BULK DENSITY, AND CARBON CONTENT , 1989 .

[23]  Jean Poesen,et al.  Soil and water components of banded vegetation patterns , 1999 .

[24]  R. Warner,et al.  Natural and artificial linkages and discontinuities in a Mediterranean landscape: Some case studies from the Durance Valley, France , 2006 .

[25]  Matthew D. Wilson,et al.  Uncertainty in predicted runoff due to patterns of spatially variable infiltration , 2007 .

[26]  D. Auclair,et al.  Neutral models for patchy landscapes , 2006 .

[27]  D. R. Nielsen,et al.  How useful are small-scale soil hydraulic property measurements for large-scale vadose zone modeling? , 2002 .

[28]  Boris Schröder,et al.  Analysis of pattern–process interactions based on landscape models—Overview, general concepts, and methodological issues , 2006 .

[29]  Bruce T. Milne,et al.  The utility of fractal geometry in landscape design , 1991 .

[30]  P. Legendre.  Spatial Autocorrelation: Trouble or New Paradigm? , 1993 .

[31]  Robert H. Gardner,et al.  Neutral Models: Useful Tools for Understanding Landscape Patterns , 1997 .

[32]  Jeffrey J. McDonnell,et al.  Where does water go when it rains? Moving beyond the variable source area concept of rainfall‐runoff response , 2003 .

[33]  Murugesu Sivapalan,et al.  Downward approach to hydrological prediction , 2003 .

[34]  Robert H. Gardner,et al.  Neutral models for testing landscape hypotheses , 2007, Landscape Ecology.

[35]  Baxter E. Vieux,et al.  Impact on Sahelian runoff of stochastic and elevation-induced spatial distributions of soil parameters , 2002 .

[36]  Anthony W. King,et al.  The Use and Misuse of Neutral Landscape Models in Ecology , 1997 .

[37]  L. H. Cammeraat,et al.  Scale dependent tresholds in hydrological and erosion response of a semi-arid catchment in Southeast Spain , 2004 .

[38]  F. Fiedler,et al.  International Journal for Numerical Methods in Fluids a Numerical Method for Simulating Discontinuous Shallow Flow over an Infiltrating Surface , 2022 .

[39]  Hartmut Jürgens,et al.  Chaos and Fractals: New Frontiers of Science , 1992 .

[40]  Matthias M. Boer,et al.  Effects of spatially structured vegetation patterns on hillslope erosion in a semiarid Mediterranean environment: a simulation study , 2005 .

[41]  Keith Beven,et al.  Prophecy, reality and uncertainty in distributed hydrological modelling , 1993 .

[42]  R. Grayson,et al.  Toward capturing hydrologically significant connectivity in spatial patterns , 2001 .

[43]  Keith Beven,et al.  A manifesto for the equifinality thesis , 2006 .

[44]  André G. Roy,et al.  Revisiting Hydrologic Sampling Strategies for an Accurate Assessment of Hydrologic Connectivity in Humid Temperate Systems , 2009 .

[45]  Jeffrey J. McDonnell,et al.  Virtual experiments: a new approach for improving process conceptualization in hillslope hydrology , 2004 .

[46]  A. Williams,et al.  Soil moisture variability in a semi-arid gully catchment: implications for runoff and erosion control , 1998 .

[47]  Günter Blöschl,et al.  Preferred states in spatial soil moisture patterns: Local and nonlocal controls , 1997 .

[48]  Susana Bautista,et al.  Plant Spatial Pattern Predicts Hillslope Runoff and Erosion in a Semiarid Mediterranean Landscape , 2007, Ecosystems.

[49]  Doerthe Tetzlaff,et al.  Connectivity between landscapes and riverscapes—a unifying theme in integrating hydrology and ecology in catchment science? , 2007 .

[50]  Günter Blöschl,et al.  Spatial correlation of soil moisture in small catchments and its relationship to dominant spatial hydrological processes , 2004 .

[51]  Boris Schröder,et al.  Pattern, process, and function in landscape ecology and catchment hydrology – how can quantitative landscape ecology support predictions in ungauged basins? , 2006 .

[52]  S. Hartley,et al.  Uses and abuses of fractal methodology in ecology , 2004 .

[53]  Peter Troch,et al.  Dealing with Landscape Heterogeneity in Watershed Hydrology: A Review of Recent Progress toward New Hydrological Theory , 2009 .

[54]  Günter Blöschl,et al.  Advances in the use of observed spatial patterns of catchment hydrological response , 2002 .

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

[56]  Vijay P. Singh,et al.  Kinematic wave modelling in water resources: a historical perspective , 2001 .

[57]  Jesús Carrera,et al.  On the relationship between indicators of geostatistical, flow and transport connectivity , 2005 .

[58]  Hanoch Lavee,et al.  THE IMPACT OF CLIMATE CHANGE ON GEOMORPHOLOGY AND DESERTIFICATION ALONG A MEDITERRANEAN- ARID TRANSECT , 1998 .

[59]  F. Pappenberger,et al.  Ignorance is bliss: Or seven reasons not to use uncertainty analysis , 2006 .

[60]  M. Turner.  Landscape ecology: what is the state of the science? , 2005 .

[61]  P. E. O'connell,et al.  IAHS Decade on Predictions in Ungauged Basins (PUB), 2003–2012: Shaping an exciting future for the hydrological sciences , 2003 .

[62]  Shuqing Zhang,et al.  Vector analysis theory on landscape pattern (VATLP) , 2006 .

[63]  Pierre Y. Julien,et al.  Similarity and length scale for spatially varied overland flow. , 1990 .

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

[65]  Robert V. O'Neill,et al.  Neutral models for the analysis of broad-scale landscape pattern , 1987, Landscape Ecology.

[66]  Hanoch Lavee,et al.  Soil erosion and climate change: the transect approach and the influence of scale , 1998 .

[67]  D. Saupe.  Algorithms for random fractals , 1988 .

[68]  M. R. Savabi,et al.  Infiltration parameters for rangeland soils. , 1989 .

[69]  B. Ambroise,et al.  Variable ‘active’ versus ‘contributing’ areas or periods: a necessary distinction , 2004 .

[70]  Jetse D. Kalma,et al.  Regional-scale hydrological modelling using multiple-parameter landscape zones and a quasi-distributed water balance model , 2001 .

[71]  W. Rawls.  Estimating soil bulk density from particle size analysis and organic matter content. , 1983 .

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

[73]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[74]  S. Galle,et al.  Overland flow and infiltration modelling for small plots during unsteady rain: numerical results versus observed values , 2000 .

[75]  Jeroen M. Schoorl,et al.  Modelling runoff and erosion for a semi-arid catchment using a multi-scale approach based on hydrological connectivity , 2009 .