Earth sciences events have spatial, temporal, and spatio-temporal variabilities depending on the scale and purpose of the assessments. For instance, in geology, geophysics, rock mechanicals, and alike aspects the spatial variability is dominant, whereas in hydrology, meteorology, etc., aspects the temporal variability has preference; but in general, irrespective of time scale, all of the earth sciences events have spatio-temporal variability. Plate tectonics has temporal variations during millions of years whereas spatial variability exists at any time instant. Hence, variability is one of the major factors in the modeling of earth sciences events for their future behavior predictions or estimations at any given location where there is no sampling information. Variability implies similarity at some instances and therefore similar representative patterns play significant role in earth sciences modeling.