Geo-statistics And Science Modeling Application

Geo-Statistics and Sciences Modeling Application

Abstract:

Geo statistics has been well established and developed during the last three decades and is widely applied in environmental research and technology. Geo statistics is a sub discipline of spatial statistics. It includes a set of statistical methods that concern random variables with spatial and/or temporal variability (random fields). These variables represent physical quantities with economic or environmental importance. The methods are based on the assumption that the spatiotemporal variability includes a random component that has space–time correlation. Therefore statistical measures such as mean value, variance, standard deviation, spatiotemporal dependence, etc., are used to extract any useful information from the available data. Geo statistics deals with distributions in which the spatial and/or temporal dependence is the primary characteristic. Geo statistical analysis aims to estimate the statistical parameters that determine the spatial and/or temporal distribution and dependence of the relevant variables. This procedure is called parameter inference. These parameters are used to estimate (interpolate) the variables at desired spatiotemporal locations where no measurements are available. This chapter describes the basic mathematical background of geo statistics and presents a complete methodological guide for geo statistical analysis of physical variables.