In statistics, a realization is an observed value of a random variable (Gubner ). In mathematical geology, the most important realizations are those in the form of maps of spatially correlated regionalized variables.

Spatial description of random variables within complex domains and making certain decisions about those require complete knowledge of the attribute of interest at each point in space. However, it is virtually impossible to sample from every location within the domain to gain a complete spatial understanding of the random variables with certainty at different scales. Therefore, limited sampling leaves us with incomplete information, which is the source of uncertainty. Understanding the uncertainty and quantifying it are essential to minimize the risks of decision making. Geostatistical simulation techniques aim to quantify spatial uncertainty of random variables by numerically reproducing the reality, which we have limited knowledge of, in a discretized...

Publication type Book chapter
Publication Subtype Book Chapter
Title Realizations
DOI 10.1007/978-3-030-26050-7_269-1
Year Published 2021
Language English
Publisher Springer
Contributing office(s) Eastern Energy Resources Science Center, Geology, Energy & Minerals Science Center
Description 7 p.
Larger Work Type Book
Larger Work Subtype Monograph
Larger Work Title Encyclopedia of Mathematical Geosciences
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