The VARIOGRAM Procedure

Bandwidth Restriction

Because the areal segments that are generated from the angle and distance classes increase in area as the lag distance increases, it is sometimes desirable to restrict this area (Deutsch and Journel, 1992, p. 45). If you specify the BANDWIDTH= option in the COMPUTE statement, the lateral, or perpendicular, distance from the axis that defines the angle classes is fixed.

For example, suppose two points $P_3$, $P_4$ are picked from the domain in Figure 109.19 and are superimposed on the grid that defines distance and angle classes, as shown in Figure 109.23.

The endpoint of vector $P_3P_4$ falls within the angle class around $60^{\circ }$ and the fifth lag class; however, it falls outside the restricted area that is defined by the bandwidth. Hence, it is excluded from the semivariance calculation.

Figure 109.23: Selected Pair $P_3P_4$ Falls outside Bandwidth Limit

Selected Pair P3P4 Falls outside Bandwidth Limit

Finally, a pair $P_ iP_ j$ that falls in a lag class larger than the value of the MAXLAGS= option is excluded from the semivariance calculation.

The BANDWIDTH= option complements the angle and lag tolerances in determining how point pairs are included in distance classes. Clearly, the number of pairs within each angle/distance class is strongly affected by the angle and lag tolerances and whether BANDWIDTH= has been specified. See also the section Angle Classification for more details about the effects these rules can have, since BANDWIDTH= operates in a manner similar to the ANGLETOLERANCE= option.