Behavior of the Variogram Near the Origin

The continuity and regularity in space of the random function $Z({/boma x})$ and, thus, of the regionalized variable $z({/boma x})$ that it represents, are related to the behavior of the variogram near the origin. In order of decreasing regularity, four main types of behavior can be distinguished, see Figure 4.3.

Figure 4.3: Behavior Near the Origin of the Variogram. (i) Parabolic Behavior; (ii) Linear Behavior; (iii) Nugget Effect; (iv) Pure Nugget Effect.