The Mixed Gamma Model for channel link lengths

The Mixed Gamma Model for channel link lengths An investigation of the lengths of exterior and interior links in 12 disparate areas suggests that link length distributions for most, if not all, natural landscapes represent a mixture of link length populations from different parts of the landscape characterized by different ground slope and/or environmental conditions. The mixed gamma density is derived for link lengths by assuming that both the component link length distribution for each relatively homogeneous part of the landscape and the mixing distribution of weights assigned to the various component distributions can be represented by gamma distributions. The mixed gamma density satisfactorily fits 84% of the 70 link length distributions examined, compared with 67% fitted by the log normal and 59% fitted by the gamma density. Deviations from the mixed gamma density are largely ascribed to spatial distributions of slope and environmental conditions which give rise to nongamma‐mixing distributions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Water Resources Research Wiley

The Mixed Gamma Model for channel link lengths

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Publisher
Wiley
Copyright
Copyright © 1982 by the American Geophysical Union.
ISSN
0043-1397
eISSN
1944-7973
D.O.I.
10.1029/WR018i004p01126
Publisher site
See Article on Publisher Site

Abstract

An investigation of the lengths of exterior and interior links in 12 disparate areas suggests that link length distributions for most, if not all, natural landscapes represent a mixture of link length populations from different parts of the landscape characterized by different ground slope and/or environmental conditions. The mixed gamma density is derived for link lengths by assuming that both the component link length distribution for each relatively homogeneous part of the landscape and the mixing distribution of weights assigned to the various component distributions can be represented by gamma distributions. The mixed gamma density satisfactorily fits 84% of the 70 link length distributions examined, compared with 67% fitted by the log normal and 59% fitted by the gamma density. Deviations from the mixed gamma density are largely ascribed to spatial distributions of slope and environmental conditions which give rise to nongamma‐mixing distributions.

Journal

Water Resources ResearchWiley

Published: Aug 1, 1982

References

  • Factor analysis of drainage basin properties: Evidence for stream abstraction accompanying the degradation of relief
    Abrahams, Abrahams
  • A classification of channel links in stream networks
    Mock, Mock
  • Statistical properties of stream lengths
    Smart, Smart
  • Link lengths and channel network topology
    Smart, Smart

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