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There has been a remarkable expansion in the fields of geostatistics and spatiostochastic modeling during the decades spanning the advent of the new millennium. The nearly ubiquitous nature of spatial relationships across all disciplines and all walks of life is one of the most important scientific, social, and philosophical realizations of the era; and the evolution of thought and practice in geostatistics and spatiostochastic model reflects this newfound understanding. This chapter traces some of the major developments in these fields during this time frame, particularly in the geoscience context. It also presents a glimpse into the future regarding what geostatistics and spatiostochastic modeling might look like in the coming years.

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