Abstract

MENDOZA-CAZARES, Edgar Yuri  and  HERRERA-ZAMARRON, Graciela del Socorro. Spatiotemporal estimation of hydraulic head using a single spatiotemporal random function model. Tecnol. cienc. agua [online]. 2010, vol.1, n.2, pp.87-111. ISSN 2007-2422.

This paper presents a geostatistical method for performing estimates using space-time kriging which is applied for the estimation of the water level of the Queretaro-Obrajuelo aquifer in the 1981-2004 period. The estimates obtained by this method for the years 1993, 1995 and 1999 are compared with ordinary kriging and cokriging using cross validation. The average mean error (ME) for the three chosen years was lowest for ordinary kriging (-0.23), the average mean squared error (MSE) is the lowest in the case of the space-time method (224.29) and the value of the average squared mean standard error (SMSE) is better for the method of cokriging (0.95), because the SMSE values are close to unity. The SMSE for the space-time method is 0.8 when considering all the times, but it decreases in particular for the selected years. The results of the estimated variances are always smaller using the space-time method, because it uses more information to get the estimate. Also, it is possible to make estimates in the whole space for all times. Therefore, it was concluded that the tool is powerful, since it considers all available information to produce the estimates.

Keywords : single spatio-temporal model; geostatistics; hydraulic head estimation.

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