Verification of the Hypothesis regarding the Random Nature of Fluctuation of Geological Properties

The existing criteria for verification of the hypothesis of either systematic or random nature of fluctuation of geologic properties depend to a large degree upon the length n of geologic processes. The necessary condition for their successful application is that$n \geq 50$. The proposed method (of the information coefficient of auto-correlation of the first-order) has the largest power since it can discover any trend in the series of relatively small length n (usually$n \geq 10$). That is why it appears as a significant factor of productivity and economic viability, since it shortens the time and decreases the research costs, which in recent decades increase by geometric progression. The method can be applied not only to numerical but also to attributive polychotomous geological processes, and it is illustrated by two instructive examples from geological practice: in the analysis of density of exploration line grid pattern and the analysis of lythological columns.