Regionalized variable theory

Regionalized variable theory (RVT) is a <a href="/facts/Geostatistics/UeChfgNG">geostatistical</a> method used for <a href="/facts/Interpolation/8PyetX4f">interpolation</a> in space.
The concept of the theory is that interpolation from points in space should not be based on a smooth continuous object. It should be, however, based on a <a href="/facts/Stochastic/uMbgL94r">stochastic</a> model that takes into consideration the various trends in the original set of points. The theory considers that within any dataset, three types of relationships can be detected:

<ol><li>Structural part, which is also called the trend.</li>
<li>Correlated variation.</li>
<li>Uncorrelated variation, or noise.</li></ol>
After defining the above three relationships, RVT then applies the <a href="/facts/First_law_of_geography/K4h37Fkg">first law of geography</a>, in order to predict the unknown values of points. The major application of this theory is the <a href="/facts/Kriging/Rk7X4qP5">Kriging</a> method for interpolation.

<ul><li>David, MICHEL, ed. (1977-01-01), "Chapter 5 - Theoretical Basis of the Approach: The Theory of Regionalized Variables", Developments in Geomathematics, Geostatistical Ore Reserve Estimation, Elsevier, vol.2, pp. 91–114, retrieved 2022-01-23</li></ul>

Regionalized variable theory open-in-new

Regionalized variable theory