Abstract
Many rainfall-run-off distributed models need rainfall data as input on a pixel by pixel basis, for each time interval. Due to the large amount of pixels that can make up a basin (proportional to the map scale), a fast and efficient method must be devised in order to obtain the rainfall field for each time interval (e.g. 20 minutes). Most models use interpolation methods such as the Inverse Distance Weighted. However, we propose the use of a Delaunay Triangulation using the incremental algorithm developed by Watson where the rainfall stations are used as the vertices of the triangles that represent a three dimensional plane of the rainfall. Once the equation of the plane is known, a rainfall value for each pixel is calculated. We compare both methods and evaluate the sensitivity to changes in time and spatial scales separately.
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References
ASCE.: Hydrology Handbook, 2nd edn. American Society of Civil Engineers (ASCE), New York (1996)
Chow, V.T., Madiment, D.R., Mays, L.W.: Applied Hydrology, p. 6. Mc Graw Hill (1988)
George, Y.L., Wong, D.W.: An adaptive inverse-distance weighting spatial interpolation technique. Computers and Geosciences 14(9), 1044–1055 (2008)
Julien, P.Y.: Runoff and Sediment Modeling with CASC2D, GIS and Radar Data. Parallel Session, Parallel 15 (1998)
Poveda, G., Mesa, O.J., Carvajal, L.F.: Introduccion al Clima de Colombia. Universidad Nacional de Colombia, Medellin (2000)
Shepard, D.: A two-dimensional interpolation function for irregularly-spaced data. In: Proceedings of the 1968 ACM National Conference, pp. 517–524 (1968)
Velez, J.I.: Desarrollo de un modelo conceptual y distribuido orientado a la simulacion de crecidas. Universidad Politecnica de Valencia Doctoral Thesis (2001)
Watson, D.F.: Computing the n-dimensional tessellation with application to Voronoi polytopes. The Computer Journal 24(2), 167–172 (1981)
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Velasquez, N., Botero, V., Velez, J.I. (2011). Rainfall Distribution Based on a Delaunay Triangulation Method. In: Gavrilova, M.L., Tan, C.J.K., Mostafavi, M.A. (eds) Transactions on Computational Science XIV. Lecture Notes in Computer Science, vol 6970. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25249-5_7
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DOI: https://doi.org/10.1007/978-3-642-25249-5_7
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