A new method for the determination of flow directions and upslope areas in grid digital elevation models
Open accessAbstract
A new procedure for the representation of flow directions and calculation of upslope areas using rectangular grid digital elevation models is presented. The procedure is based on representing flow direction as a single angle taken as the steepest downward slope on the eight triangular facets centered at each grid point. Upslope area is then calculated by proportioning flow between two downslope pixels according to how close this flow direction is to the direct angle to the downslope pixel. This procedure offers improvements over prior procedures that have restricted flow to eight possible directions (introducing grid bia) or proportioned flow according to slope (introducing unrealistic dispersion). The new procedure is more robust than prior procedures based on fitting local planes while retaining a simple grid based structure. Detailed algorithms are presented and results are demonstrated through test examples and application to digital elevation data sets.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
BEVEN, K. J., & KIRKBY, M. J. (1979) · Hydrological Sciences Bulletin · doi:10.1080/02626667909491834 · Cited by 6,670 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Dunham, J. B., Rosenberger, A. E., Luce, C. H., & Rieman, B. E. (2007) · Ecosystems · doi:10.1007/s10021-007-9029-8 · Cited by 187 · see citing works
Weissmann, G. S., Hartley, A. J., Scuderi, L. A., Nichols, G. J., Owen, A., Wright, S., Felicia, A. L., Holland, F., & Anaya, F. M. L. (2015) · Geomorphology · doi:10.1016/j.geomorph.2015.09.005 · Cited by 134 · see citing works
Carrivick, J. L., Heckmann, T., Turner, A., & Fischer, M. (2018) · Geomorphology · doi:10.1016/j.geomorph.2018.08.030 · Cited by 42 · see citing works
Diefenderfer, H. L., Coleman, A. M., Borde, A. B., & Sinks, I. A. (2008) · Ecohydrology & Hydrobiology · doi:10.2478/v10104-009-0027-7 · Cited by 42 · see citing works
- Authors
- Tarboton, D. G.
- Affiliations
- Utah State University (US)
- Corresponding author
- Tarboton, David G.
- ORCID
- Tarboton, David G.
- Venue
- Water Resources Research
- Publisher
- American Geophysical Union (AGU)
- Published
- 1997-02
- Volume
- 33
- Issue
- 2
- Pages
- 309-319
- ISSN
- 0043-1397 (ISSN-L)
- 1944-7973
- OpenAlex
- W2119534769
- Cited by
- 2,476
- References
- 1
- Citations by year
- 2026: 132 · 2025: 86 · 2024: 97 · 2023: 122 · 2022: 151 · 2021: 118 · 2020: 145 · 2019: 127 · 2018: 119 · 2017: 117 · 2016: 126 · 2015: 110 · 2014: 113 · 2013: 114 · 2012: 100
- FWCI
- 15.82
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Water Resources Research (publishedVersion)
- Digital Commons - USU (Utah State University) (submittedVersion)
- Funders
- Agence Nationale de la Recherche (ANR-17-ERA4-0007)
- Topics
- Physical Sciences › Environmental Science › Water Science and Technology › Hydrology and Watershed Management Studies
- Physical Sciences › Environmental Science › Environmental Engineering › Groundwater and Watershed Analysis
- Life Sciences › Agricultural and Biological Sciences › Soil Science › Soil erosion and sediment transport
- Keywords
- flow direction, digital elevation model, triangular facets, grid bias
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review