Types of semi variogram model

This topic describes the most frequently used types of basic variogram model, where user inputs are:

	=	slope		=	range		=	decay
	=	power		=	partial sill		=	cycle distance

represents the current lag interval and represents the calculated semi-variance at that interval.

Linear

General Linear

Spherical

Exponential

Gaussian

Hole Effect

Hole Effect reflects a sample distribution along grid drilling lines. Cycle distance is the distance between peaks and troughs in the cycle. Decay is the damping factor, the smaller the factor the faster the damping.

Paddington Mix

Although the Hole Effect model is a little unstable mathematically, it can be combined with a Spherical component to produce a more reliable result. This combination of Spherical and Hole Effect components is known as the Paddington Mix. 

For an explanation of estimation using geostatistics and other related subjects, refer to:

• Chiles, , J.P., P. Delfiner, 1999, Geostatististics, Modelling Spatial Uncertainty, Wiley-Interscience
• David, M., 1982, Geostatistical Ore Reserve Estimation , Elsevier Scientific Publishing Company, Amsterdam 
• Goovaerts, Pierre.  1997, Geostatistics for Natural Resources Evaluation , Oxford University Press, New York
• Isaaks, E. H. & Srivsatava, R. H. 1989, An Introduction to Applied Statistics , Oxford University Press, New York
• Wackernagel, H., 2003, Multivariate Geostatistics, Springer