Daily rainfall interpolation models obtained by means of genetic programming
Keywords:genetic programming, interpolation models, isohyet, geographic coordinates, daily rainfall
The evolutionary computing algorithm of genetic programming was applied to obtain mathematical daily rainfall interpolation models in one climatologic station, using the measured data in nearby stations in Cutzamala River basin in Mexico. The obtained models take into account both the geographical coordinates of the climatologic station and also its elevation; the answer of these models was compared against those obtained by means of multiple linear regression and a nonlinear model with parameters obtained with genetic algorithms; genetic programming models gave the best performance. Isohyets maps were then obtained to compare the spatial shapes between measured and calculated rainfall data in Cutzamala River Basin, for a maximum historic storm recorded in 2006 year, showing an adequate agreement of the results in case of rainfalls greater than 23 mm. Genetic programming represent a useful practical tool for approaching mathematical models of variables applied in engineering problems and new models could be obtained in several basins by applying these algorithms.
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