Linearity of basin response as a function of scale in a semiarid watershed

Goodrich, David C.; Lane, L. J.; Shillito, Rose; Miller, Scott N.; Syed, Kamran H.; Woolhiser, David A.

doi:10.1029/97wr01422

Cited by 228 publications

(222 citation statements)

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“…Lateral redistribution processes including re-infiltration can thus substantially contribute to the non-linear hydrological response between wet and dry conditions in this type of environment. Similarly, Goodrich et al (1997) showed an increasingly non-linear response with increasing catchment area due to, among others, the effect of transmission losses in semi-arid basins. As a consequence of differences between wet and dry years, the inclusion of lateral redistribution processes in Model 1 also increased the interannual variability of total runoff at the scale of grid cells (see coefficients of variation in Table 2).…”

Section: Sensitivity To Lateral Redistribution Processesmentioning

confidence: 99%

“…With increasing catchment area, the importance of transmission losses of runoff that already became channel flow by re-infiltration into the channel bed also increases. This process has often been referred to as one reason for decreasing runoff coefficients (Cadier et al, 1996) and an increasing non-linearity of the runoff response (Goodrich et al, 1997) with increasing basin area in small semi-arid catchments. All examples show that runoff at the hillslope or small catchment scale in semi-arid areas is in general markedly less than what can be expected by simply summing up the contributions of individual landscape patches.…”

Section: Landscape Variability and Hydrological Processes In Semi-arimentioning

confidence: 99%

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Representation of landscape variability and lateral redistribution processes for large-scale hydrological modelling in semi-arid areas

Güntner

Bronstert

2004

Journal of Hydrology

114

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The spatial variability of landscape features such as topography, soils and vegetation defines the spatial pattern of hydrological state variables like soil moisture. Spatial variability thereby controls the functional behaviour of the landscape in terms of its runoff response. A consequence of spatial variability is that exchange processes between landscape patches can occur at various spatial scales ranging from the plot to the basin scale. In semi-arid areas, the lateral redistribution of surface runoff between adjacent landscape patches is an important process. For applications to large river basins of 10 4 -10 5 km 2 in size, a multi-scale landscape discretization scheme is presented in this paper. The landscape is sub-divided into modelling units within a hierarchy of spatial scale levels. By delineating areas characterized by a typical toposequence, organised and random variability of landscape characteristics is captured in the model. Using runoff -runon relationships with transition frequencies based on areal fractions of modelling units, lateral surface and subsurface water fluxes between modelling units at the hillslope scale are represented. Thus, the new approach allows for a manageable description of interactions between fine-scale landscape features for inclusion in coarse-scale models. Model applications for the State of Ceará (150,000 km 2 ) in the north-east of Brazil demonstrate the importance of taking into account landscape variability and interactions between landscape patches in a semiarid environment. Using mean landscape characteristics leads to a considerable underestimation of infiltration-excess surface runoff and total simulated runoff. Re-infiltration of surface runoff and lateral redistribution processes between landscape patches cause a reduction of runoff volumes at the basin scale and contribute to the amplification of variations in runoff volumes relative to variations in rainfall volumes for semi-arid areas. q 2004 Published by Elsevier B.V.

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Section: Sensitivity To Lateral Redistribution Processesmentioning

confidence: 99%

Section: Landscape Variability and Hydrological Processes In Semi-arimentioning

confidence: 99%

Representation of landscape variability and lateral redistribution processes for large-scale hydrological modelling in semi-arid areas

Güntner

Bronstert

2004

Journal of Hydrology

114

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“…To solve the problem of what the distribution of conductivity values of a finite-sized system is, one needs to know (1) the statistics of such clusters, (2) their physical extent, and (3) their internal structure. Aspects (2) and (3) are discussed first.…”

Section: Site Percolationmentioning

confidence: 99%

“…Flood statistics [1][2][3][4][5], water storage [6], drainage basin organization [7], relationships between channel dimensions and flow [8], extreme precipitation events [9], wind and weather fluctuations [10,11], stock and commodity markets fluctuations [12,13] , have all been noted to obey various power laws. Many physicists have searched for unifying concepts to explain such ubiquity.…”

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confidence: 99%

Relevance of percolation theory to power‐law behavior of dynamic processes including transport in disordered media

Hunt

2009

Complexity

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P ower-law behavior seems ubiquitous in nature as well as in human endeavors. Flood statistics [1][2][3][4][5], water storage [6], drainage basin organization [7], relationships between channel dimensions and flow [8], extreme precipitation events [9], wind and weather fluctuations [10,11], stock and commodity markets fluctuations [12,13] , have all been noted to obey various power laws. Many physicists have searched for unifying concepts to explain such ubiquity. Perhaps, however, powerlaw behavior is not quite as universal as thought. Multifractal distributions originating from cascade processes as a related, but somewhat more complex, organizing principle have often been proposed to be the appropriate universal description [33, 34]. Some [35][36][37] have questioned whether a ''class'' of stretched exponential functions might better represent a larger or smaller fraction of the data. In the ac conductivity of disordered insulators, for example, several other frequencydependences [38-40], universal or not, have been suggested. This small sample of alternate ideas need not imply that alternative scenarios are always correct either. But simply because it is often asserted that nature follows power laws does not require such; in most cases the range and quality of data are probably not sufficient to distinguish the subtle differences between the various proposed distributions. But the recognition of the simplicity of the explanation that self-similar geometrical structures [41] could be the basis of so many geophysical manifestations of apparent power laws has certainly provided impetus to the interpretation that a large number of natural phenomena do follow power-law behavior.In the case that one believes that the observed behavior conforms to true power laws, what kind of underlying mechanism should one seek? At least six such unifying concepts, nonlinear dynamics (chaos) [42], self-organized criticality [43], hierarchical dynamics [44], highly optimized tolerance [45], minimum effort

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“…In the present work, the focus is placed on the case that the net lateral inflow is wellapproximated by the following spatiotemporal distribution (e.g. Lane, 1982;Capsoni et al, 1987;Goodrich et al, 1997;Féral et al, 2003).…”

Section: Description Of the Problemmentioning

confidence: 99%

Variability of flow discharge in lateral inflow-dominated stream channels

Chang

Yeh

2015

Hydrol. Earth Syst. Sci.

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Abstract. The influence of the temporal changes in lateral inflow rate on the discharge variability in stream channels is explored through the analysis of the diffusion wave equation (i.e. the linearized Saint-Venant equation). To account for variability and uncertainty, the lateral inflow rate is regarded as a temporal random function. On the basis of the spectral representation theory, analytical expressions for the covariance function and evolutionary power spectral density of the random discharge perturbation process are derived to quantify variability in stream flow discharge induced by the temporal changes in lateral inflow rate. The treatment of the discharge variance (square root of the variance) gives us a quantitative estimate of uncertainty in predictions from the deterministic model. It is found that the discharge variability of stream flow is very large in the downstream reach, indicating large uncertainty anticipated from the use of the deterministic model. A larger temporal correlation scale of inflow rate fluctuations, representing more temporal consistency of fluctuations in inflow rate around the mean, introduces a higher variability in stream flow discharge.

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Linearity of basin response as a function of scale in a semiarid watershed

Cited by 228 publications

References 35 publications

Representation of landscape variability and lateral redistribution processes for large-scale hydrological modelling in semi-arid areas

Representation of landscape variability and lateral redistribution processes for large-scale hydrological modelling in semi-arid areas

Relevance of percolation theory to power‐law behavior of dynamic processes including transport in disordered media

Variability of flow discharge in lateral inflow-dominated stream channels

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