Big spatial datasets are very common in scientific problems, such as those involving remote sensing of the earth by satellites, climate-model output, small-area samples from national surveys, and so forth. In this article, our interest lies primarily in very large, non-Gaussian datasets. We consider a hierarchical statistical model consisting of a conditional exponentialfamily model for the dat...

[1] Geostatistical inverse modeling has been shown to be a viable alternative to synthesis Bayesian methods for estimating global continental-scale CO2 fluxes. This study extends the geostatistical approach to take advantage of spatially and temporally varying auxiliary data sets related to CO2 flux processes, which allow the inversion to capture more grid-scale flux variability and better cons...

BACKGROUND The first step in evaluating potential geographic clusters of disease calls for an evaluation of the disease risk comparing the risk in a defined location to the risk in neighboring locations. Environmental exposures, however, represent continuous exposure levels across space not an exposure with a distinct boundary. The objectives of the current study were to adapt, apply and evalua...

Classical geostatistical methods are powerful tools to study the spatial-temporal structure of stationary processes. Separability is also a common assumption to avoid many of the problems of space and time modeling. This subclass of separable spatial-temporal processes has several advantages, including rapid fitting and simple extensions of many techniques developed and successfully used in tim...

Solutions to inverse problems are required in many Earth Science applications. The problem of determining reservoir properties, such as porosity and permeability from flow data, shortly termed “history matching”, is one example. In many traditional inverse approaches, certain model assumptions are made on either the data likelihood or the prior geological model, e.g. assumptions of conditional ...

History matching forms an integral part of the reservoir modeling work-flow process. Despite the existence of many history matching tools, the integration of production data with seismic and geological continuity data remains a challenge. Geostatistical tools exists for integrating large scale seismic and fine scale well/core data. A general framework for integrating production data with divers...