Link slope distribution in channel networks

Flint, Jean-Jacques

doi:10.1029/wr012i004p00645

Cited by 5 publications

(2 citation statements)

References 14 publications

(20 reference statements)

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“…The elevation characteristics of a landform are largely characterized by the relationship between the area (or number of pixels when using a DTM) draining through a point and the slope at that point in the catchment, the area-slope relationship. It is generally recognized that catchments exhibit a loglog linear relationship between area and slope for areas greater than a few square kilometers [e.g., Flint, 1976;Tarboton et al, 1989]. This relationship can be explained in terms of the equilibrium balance between tectonic forcings, runoff, and erosion [Willgoose et al, 1991c;Willgoose, 1994a].…”

Section: Three-dimensional Measuresmentioning

confidence: 99%

Channel network simulation models compared with data from the Ashley River, New Zealand

Ibbitt¹,

Willgoose²,

Duncan³

1999

Water Resources Research

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Abstract. This paper compares the ability of two channel network simulation models to simulate the channel network properties of the Ashley River in the foothills of the Southern Alps of the South Island of New Zealand. The basin was chosen because it contains a large-scale topographic feature, a central ridge, the simulation of which would provide a measure of each model's ability to handle spatial nonuniformities. The two models assessed were the optimal channel network (OCN) model and a catchment evolution model (SIBERIA) catchment evolution model. The ability of these models to replicate observed geomorphic statistics and relationships was assessed. The models were also compared against each other to assess their relative suitability for simulating the observed geomorphology. Model performance was gauged using the single-valued measures of catchment convergence, hypsometric integral, and energy expenditure by the network; and plots of the width function, the slope of the cumulative area diagram, and the hypsometric curve of basin topography. The effects of different forcings were examined. The basic forcing was one in which the climate and the geological and tectonic properties of the basin were assumed to be unchanging in both space and time. The first variant on the basic forcing looked at what happens when there is a permanent spatial gradient in the rainfall over a basin with spatially uniform geological and tectonic properties. The second variant considered the effects of constant, spatially uniform rainfall on a basin in which spatially variable tectonic uplift is occurring. Neither model adequately simulated the observed geomorphology when the spatially nonuniform tectonic forcing was ignored. When spatially nonuniform tectonic effects at length scales of tens of kilometers were simulated, SIBERIA performed more satisfactorily. The effect of nonuniform rainfall was found to be small for both models. The performance of the OCN as gauged by single-valued measures improved markedly when energy expenditure calculations were consistent with the geometric length of flow paths.

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Section: Three-dimensional Measuresmentioning

confidence: 99%

Channel network simulation models compared with data from the Ashley River, New Zealand

Ibbitt¹,

Willgoose²,

Duncan³

1999

Water Resources Research

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“…The summations 002 8,008 31,824 125,970 497,420 1,961,256 7,726,160 To compare calculated values for t(d, n) with natural stream data, tributaries to 84 watersheds of magnitude 10 were recorded from basins published by Melton [1957] and Coates [1958]. in addition, 56 basins from Flint [1976] were obtained as a further and independent test for slightly larger magnitude (n = 15) watersheds. Table 3 shows the observed number of tributaries of different diameters as well as expected values derived from (8).…”

Section: Probabilitiesmentioning

confidence: 99%

Tributary diameter in topologically random channel networks

Flint¹,

Proctor²

1979

Water Resources Research

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The analysis of drainage network composition

Smart

1978

Earth Surf. Process.

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SUMMARYThe Horton method of analyzing drainage network composition is reviewed, with the conclusion that it has not been very effective either in improving understanding or in developing useful methods of characterizing drainage basins. New methods which are based on the link rather than the Horton (or Strahler) stream are described. A number of detailed examples of the application of these new methods to the topologic and geometric properties of networks are provided. The results are compared with the predictions of the random model.Data used in the analysis were obtained from 1 :24,OOO U.S.G.S. topographic maps of eastern Kentucky. Thirty drainage basins were selected and their channel networks were outlined first by the contour-crenulation (CC) method and then by another, more objective, method (SC) in which stream sources were identified by a quantitative slope criterion. The CC and SC samples comprise about 8,700 and 1,700 links, respectively.The three most important results of the analysis are: (1) the channel networks are slightly but significantly more elongated than predicted by the random model, (2) there are fewer second magnitude links than predicted, and (3) the length distribution for interior links depends upon the kind of link (interior or exterior) joined downstream. These features are found in both CC and SC networks.

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Link slope distribution in channel networks

Cited by 5 publications

References 14 publications

Channel network simulation models compared with data from the Ashley River, New Zealand

Channel network simulation models compared with data from the Ashley River, New Zealand

Tributary diameter in topologically random channel networks

The analysis of drainage network composition

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