A fast and simple algorithm for calculating flow accumulation matrices from raster digital elevation
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Calculating the flow accumulation matrix is an essential step for many hydrological and topographical analyses. This study gives an overview of the existing algorithms for flow accumulation calculations for single-flow direction matrices. A fast and simple algorithm for calculating flow accumulation matrices is proposed in this study. The algorithm identifies three types of cells in a flow direction matrix: source cells, intersection cells, and interior cells. It traverses all source cells and traces the downstream interior cells of each source cell until an intersection cell is encountered. An intersection cell is treated as an interior cell when its last drainage path is traced and the tracing continues with its downstream cells. Experiments are conducted on thirty datasets with a resolution of 3 m. Compared with the existing algorithms for flow accumulation calculation, the proposed algorithm is easy to implement, runs much faster than existing algorithms, and generally requires less memory space.
Keywordsflow accumulation flow direction DEM GIS
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This work was supported by the National Natural Science Foundation of China (Grant No. 41671427) and the Fundamental Research Funds for the Central Universities (ZYGX2016J148). We thank the anonymous referees for their constructive criticism and comments.
- Barnes R, Lehman C, Mulla D (2014). An efficient assignment of drainage direction over flat surfaces in raster digital elevation models. Comput Geosci, 62: 128135Google Scholar
- Fu S, Liu B, Liu H, Xu L (2011). The effect of slope on interrill erosion at short slopes. Catena, 84(1–2): 2934Google Scholar
- Garbrecht J, Martz L W (1997). The assignment of drainage direction over flat surfaces in raster digital elevation models. J Hydrol (Amst), 193(1–4): 204213Google Scholar
- Jenson S K, Domingue J O (1988). Extracting topographic structure from digital elevation data for geographic information system analysis. Photogramm Eng Remote Sensing, 54(11): 15931600Google Scholar
- Nobre A D, Cuartas L A, Hodnett M, Rennó C D, Rodrigues G, Silveira A, Waterloo M, Saleska S (2011). Height above the nearest drainage—a hydrologically relevant new terrain model. J Hydrol (Amst), 404 (1–2): 1329Google Scholar
- O’Callaghan J F, Mark DM (1984). The extraction of drainage networks from digital elevation data. Comput Vis Graph Image Process, 28(3): 323344Google Scholar
- Qin C Z, Zhan L (2012). Parallelizing flow-accumulation calculations on graphics processing units—from iterative DEM preprocessing algorithm to recursive multiple-flow-direction algorithm. Comput Geosci, 43(0): 716Google Scholar
- Wang L, Liu H (2006). An efficient method for identifying and filling surface depressions in digital elevation models for hydrologic analysis and modelling. Int J Geogr Inf Sci, 20(2): 193213Google Scholar
- Wang Y, Liu Y, Xie H, Xiang Z (2011). A quick algorithm of counting flow accumulation matrix for deriving drainage networks from a DEM. In: Proceedings on the Third International Conference on Digital Image ProcessingGoogle Scholar
- Yamazaki D, Baugh C A, Bates P D, Kanae S, Alsdorf D E, Oki T (2012). Adjustment of a spaceborne DEM for use in floodplain hydrodynamic modeling. J Hydrol (Amst), 436–437: 8191Google Scholar
- Yao Y, Shi X (2015). Alternating scanning orders and combining algorithms to improve the efficiency of flow accumulation calculation. Int J Geogr Inf Sci, 29(7): 12141239Google Scholar