Resumen:
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For Geodesy, the geoid undulation is defined as the difference between the Geoid and a reference ellipsoid. This variable allows correcting a geometry height to a physical or real height. This correction is important for the design and execution of different engineering projects worldwide, which needs georeferenced points that considers the real shape of the earth (referred to the geoid) and the influence of its gravitational fields. Under this criterion, the municipality of Madrid is a community that is constantly growing and changing due to its great economic, social and tourist dynamics, among other aspects. So, it is a city that requires infrastructure that allows it to satisfy these needs.
Therefore, the objective of this final Master's work was to generate, through geostatistical techniques, two models of the geoidal undulation variable -in free and commercial software- for the municipality of Madrid, using its topographic network as base. These models were designed from an exploratory data analysis, structural analysis of an experimental variogram, and the use of kriging as an interpolation method. Subsequently, the resulting models were compared with each other and with the Spanish EGM08-REDNAP model, in order to determine their quality.
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