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The in(a/tan/β) index: how to calculate it and how to use it within the topmodel framework

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The in(a/tan/β) index : how to calculate it and how to use it within the topmodel framework. / Quinn, P. F.; Beven, Keith; Lamb, Rob.

In: Hydrological Processes, Vol. 9, No. 2, 02.1995, p. 161-182.

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Quinn PF, Beven K, Lamb R. The in(a/tan/β) index: how to calculate it and how to use it within the topmodel framework. Hydrological Processes. 1995 Feb;9(2):161-182. doi: 10.1002/hyp.3360090204

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Quinn, P. F. ; Beven, Keith ; Lamb, Rob. / The in(a/tan/β) index : how to calculate it and how to use it within the topmodel framework. In: Hydrological Processes. 1995 ; Vol. 9, No. 2. pp. 161-182.

Bibtex

@article{0b10961a25a84b858aaa9cc701743c46,
title = "The in(a/tan/β) index: how to calculate it and how to use it within the topmodel framework",
abstract = "Topographic indices may be used to attempt to approximate the likely distribution of variable source areas within a catchment. One such index has been applied widely using the distribution function catchment model, TOPMODEL, of Beven and Kirkby (1979). Validation of the spatial predictions of TOPMODEL may be affected by the algorithm used to calculate the model's topographic index. A number of digital terrain analysis (DTA) methods are therefore described for use in calculating the TOPMODEL topographic index, ln(a/tan beta) (a = upslope contributing area per unit contour; tan beta = local slope angle). The spatial pattern and statistical distribution of the index is shown to be substantially different for different calculation procedures and differing pixel resolutions. It is shown that an interaction between hillslope contributing area accumulation and the analytical definition of the channel network has a major influence on calculated ln(a/tan beta) index patterns. A number of DTA tests were performed to explore this interaction. The tests suggested that an 'optimum' channel. initiation threshold (CIT) may be identified for positioning river headwaters in a raster digital terrain model (DTM). This threshold was found to be dependent on DTM grid resolution. Grid resolution is also suggested to have implications for the validation of spatial model predictions, implying that 'optimum' TOPMODEL parameter sets may be unique to the grid scale used in their derivation. Combining existing DTA procedures with an identified CIT, a procedure is described to vary the directional diffusion of contributing area accumulation with distance from the channel network.",
keywords = "TOPMODEL , digital terrain analysis, soil moisture, spatial and temporal model predictions",
author = "Quinn, {P. F.} and Keith Beven and Rob Lamb",
year = "1995",
month = feb,
doi = "10.1002/hyp.3360090204",
language = "English",
volume = "9",
pages = "161--182",
journal = "Hydrological Processes",
issn = "0885-6087",
publisher = "John Wiley and Sons Ltd",
number = "2",

}

RIS

TY - JOUR

T1 - The in(a/tan/β) index

T2 - how to calculate it and how to use it within the topmodel framework

AU - Quinn, P. F.

AU - Beven, Keith

AU - Lamb, Rob

PY - 1995/2

Y1 - 1995/2

N2 - Topographic indices may be used to attempt to approximate the likely distribution of variable source areas within a catchment. One such index has been applied widely using the distribution function catchment model, TOPMODEL, of Beven and Kirkby (1979). Validation of the spatial predictions of TOPMODEL may be affected by the algorithm used to calculate the model's topographic index. A number of digital terrain analysis (DTA) methods are therefore described for use in calculating the TOPMODEL topographic index, ln(a/tan beta) (a = upslope contributing area per unit contour; tan beta = local slope angle). The spatial pattern and statistical distribution of the index is shown to be substantially different for different calculation procedures and differing pixel resolutions. It is shown that an interaction between hillslope contributing area accumulation and the analytical definition of the channel network has a major influence on calculated ln(a/tan beta) index patterns. A number of DTA tests were performed to explore this interaction. The tests suggested that an 'optimum' channel. initiation threshold (CIT) may be identified for positioning river headwaters in a raster digital terrain model (DTM). This threshold was found to be dependent on DTM grid resolution. Grid resolution is also suggested to have implications for the validation of spatial model predictions, implying that 'optimum' TOPMODEL parameter sets may be unique to the grid scale used in their derivation. Combining existing DTA procedures with an identified CIT, a procedure is described to vary the directional diffusion of contributing area accumulation with distance from the channel network.

AB - Topographic indices may be used to attempt to approximate the likely distribution of variable source areas within a catchment. One such index has been applied widely using the distribution function catchment model, TOPMODEL, of Beven and Kirkby (1979). Validation of the spatial predictions of TOPMODEL may be affected by the algorithm used to calculate the model's topographic index. A number of digital terrain analysis (DTA) methods are therefore described for use in calculating the TOPMODEL topographic index, ln(a/tan beta) (a = upslope contributing area per unit contour; tan beta = local slope angle). The spatial pattern and statistical distribution of the index is shown to be substantially different for different calculation procedures and differing pixel resolutions. It is shown that an interaction between hillslope contributing area accumulation and the analytical definition of the channel network has a major influence on calculated ln(a/tan beta) index patterns. A number of DTA tests were performed to explore this interaction. The tests suggested that an 'optimum' channel. initiation threshold (CIT) may be identified for positioning river headwaters in a raster digital terrain model (DTM). This threshold was found to be dependent on DTM grid resolution. Grid resolution is also suggested to have implications for the validation of spatial model predictions, implying that 'optimum' TOPMODEL parameter sets may be unique to the grid scale used in their derivation. Combining existing DTA procedures with an identified CIT, a procedure is described to vary the directional diffusion of contributing area accumulation with distance from the channel network.

KW - TOPMODEL

KW - digital terrain analysis

KW - soil moisture

KW - spatial and temporal model predictions

U2 - 10.1002/hyp.3360090204

DO - 10.1002/hyp.3360090204

M3 - Journal article

VL - 9

SP - 161

EP - 182

JO - Hydrological Processes

JF - Hydrological Processes

SN - 0885-6087

IS - 2

ER -