Theorems of Geostatistics

Theorems of geostatistics are foundational principles that describe how spatial data behaves. Key theorems include the Variogram Theorem, which quantifies how data points' similarity decreases with distance, and the Uncertainty Theorem, which relates to the confidence in predictions based on data density and distribution. These theorems guide how geologists and statisticians analyze and model spatial phenomena—like mineral deposits or groundwater—by understanding spatial correlation, variability, and prediction accuracy. In essence, they provide the mathematical basis for making informed estimates about unmeasured locations within a region based on existing data.