Geostatistics is a discipline that deals with the statistical analysis of regionalized variables. In this case study, geostatistics is used to estimate geoid undulation in the rural area of Guayaquil town in Ecuador. The geostatistical approach was chosen because the estimation error of prediction map is getting. Open source statistical software R and mainly geoR, gstat and RGeostats libraries were used. Exploratory data analysis (EDA), trend and structural analysis were carried out. An automatic model fitting by Iterative Least Squares and other fitting procedures were employed to fit the variogram. Finally, Kriging using gravity anomaly of Bouguer as external drift and Universal Kriging were used to get a detailed map of geoid undulation. The estimation uncertainty was reached in the interval [-0.5; +0.5] m for errors and a maximum estimation standard deviation of 2 mm in relation with the method of interpolation applied. The error distribution of the geoid undulation map obtained in this study provides a better result than Earth gravitational models publicly available for the study area according the comparison with independent validation points. The main goal of this paper is to confirm the feasibility to use geoid undulations from Global Navigation Satellite Systems and leveling field measurements and geostatistical techniques methods in order to use them in high-accuracy engineering projects.

We validated the GPS leveling as an alternative to the traditional geometric leveling method. Validation compares the geometric slopes derived from the GNSS positioning technique, heights resulting from geometric leveling campaigns and geoid undulations extracted from the Global Geopotential Model EGM08. This analysis was performed in the Ecuadorian mainland, where we identified areas in which the gradient of the geoidal undulation is less pronounced. The spatialization of the gradient or variation-based methods allowed to analyze the performance of the GPS leveling method, under the hypothesis that less variability in geoid undulation implies less discrepancies in the GPS unevenness. GNSS observations were determined on the leveling plates belonging to the Basic Vertical Control Network. The results of the study are given based on the relative error resulting from the comparison of the traditional differential leveling method with the corresponding values obtained from the GNSS positioning, considering different distances for the spread of unevenness.

We validated the GPS leveling as an alternative to the traditional geometric leveling method. Validation compares the geometric slopes derived from the GNSS positioning technique, heights resulting from geometric leveling campaigns and geoid undulations extracted from the Global Geopotential Model EGM08. This analysis was performed in the Ecuadorian mainland, where we identified areas in which the gradient of the geoidal undulation is less pronounced. The spatialization of the gradient or variation-based methods allowed to analyze the performance of the GPS leveling method, under the hypothesis that less variability in geoid undulation implies less discrepancies in the GPS unevenness. GNSS observations were determined on the leveling plates belonging to the Basic Vertical Control Network. The results of the study are given based on the relative error resulting from the comparison of the traditional differential leveling method with the corresponding values obtained from the GNSS positioning, considering different distances for the spread of unevenness.

RESUMENEl posicionamiento en tiempo real usando GPS se hace mediante correcciones diferenciales enviadas desde una estación base hacia un receptor móvil. Generalmente, la corrección es enviada vía radio o por medio de satélites de comunicación. Con el desarrollo del internet inalámbrica y con el aumento de la cobertura de la señal mediante un Protocolo, conocido como IP, han hecho que se integren estas tecnologías para realizar mediciones para trabajos y estudios en tiempo real usando la tecnología GPS, y mediante el protocolo NTRIP. Esta técnica se ha estado desarrollando e implementando de forma constante en la región, siendo el presente y futuro de las mediciones para trabajos de precisión y en tiempo real. En este trabajo, se muestra la implementación de la técnica NTRIP para posicionamiento en tiempo real. El acceso a datos brutos del GPS en un móvil ANDROID y un navegador Mobile Mapper 10, la utilización de NTRIP para el envió de correcciones diferenciales por medio del protocolo IP, y el internet como red de información inmediata, fueron la base general para crear una aplicación que utiliza una corrección diferencial por posición. Los primeros resultados muestran una mejoría en la posición, pudiendo llegar a obtener un error medio de 2.3m en una Tablet con Android, y 1.6 m con el Mobile Mapper 10; en un tiempo de 5 minutos.