Preprints
https://doi.org/10.5194/hessd-9-6409-2012
https://doi.org/10.5194/hessd-9-6409-2012

  24 May 2012

24 May 2012

Review status: this preprint was under review for the journal HESS but the revision was not accepted.

Which type of slope gradient should be used to determine flow-partition proportion in multiple-flow-direction algorithms – tangent or sine?

L.-J. Zhan1,2, C.-Z. Qin1, and A.-X. Zhu1,3 L.-J. Zhan et al.
  • 1State Key Laboratory of Resources & Environmental Information System, Institute of Geographic Sciences & Natural Resources Research, CAS, Beijing 100101, China
  • 2Graduate School of the Chinese Academy of Sciences, Beijing 100049, China
  • 3Department of Geography, University of Wisconsin Madison, Madison, WI 53706-1491, USA

Abstract. This paper revisits the tangent expression for the slope gradient (tan β) used in the general flow-partition function in multiple-flow-direction (MFD) algorithms. The deduction of the flow-partition function performed here based on hydrological theory shows that sin β, instead of tan β as used currently, provides a clear theoretical basis for determining the flow-partition proportions in MFD algorithms.

L.-J. Zhan et al.

 
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Status: closed
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Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version Supplement - Supplement

L.-J. Zhan et al.

L.-J. Zhan et al.

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