Tropospheric ozone (O3) pollution is a major problem worldwide, including in the United States of America (USA), particularly during the summer months. Ozone oxidative capacity and its impact on human health have attracted the attention of the scientific community. In the USA, sparse spatial observations for O3 may not provide a reliable source of data over a geo-environmental region. Geostatis...

Conventional geostatistical methodology solves the problem of predicting the realized value of a linear functional of a Gaussian spatial stochastic process S…x) based on observations Yi ˆ S…xi † ‡ Zi at sampling locations xi , where the Zi are mutually independent, zero-mean Gaussian random variables. We describe two spatial applications for which Gaussian distributional assumptions are clearly...

Current geostatistical simulation methods allow generating multiple realizations that honor all available data, such as hard and secondary data under certain geological scenarios (e.g. 3D training image-based models, multi-Gaussian law, Boolean models). However, it is difficult to simulate large models that honor highly nonlinear response functions (e.g. remote sensing data, geophysical data or...

A new method is proposed for the classification of data in a spatial context, based on the minimization of a variance-like criterion taking into account the spatial correlation structure of the data. Kriging equations satisfying classification bias conditions are then derived for interpolating the rainfall data while taking into account the classification.

First, geostatistics provides descriptive tools such as semivariograms to characterize the spatial pattern of continuous and categorical soil attributes. Various interpolation (kriging) techniques capitalize on the spatial correlation between observations to predict attribute values at unsampled locations using information related to one or several attributes. An important contribution of geost...

We present a numerical study of the scale up problem for the fractional ow function in the Buckley-Leverett equation for ow in porous media. The scale up problem is to deene an averaged equation by local spatial averages, mapping from a micro-physical description to a meso-physical description and from a ne discretization grid to a coarser one. Scale up leads to the closure problem, which is th...

Multiple parasite infections are widespread in the developing world and understanding their geographical distribution is important for spatial targeting of differing intervention packages. We investigated the spatial epidemiology of mono- and co-infection with helminth parasites in East Africa and developed a geostatistical model to predict infection risk. The data used for the analysis were ta...