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What is Variogram

Handbook of Research on Hydroinformatics: Technologies, Theories and Applications
One of the deterministic interpolation methods used in the Geostatistical Analyst; a special case of radial basis functions. The interpolated surface is forced to go through the data, and no standard errors are available. A function of the distance and direction separating two locations, used to quantify autocorrelation. The variogram is defined as the variance of the difference between two variables at two locations. The variogram generally increases with distance, and is described by nugget, sill, and range parameters.
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Using Geographic Information System to Infollow the Fertilizers Pollution Migration
Gehan A.H. Sallam (National Water Research Center, Egypt), Tahani Youssef (Helwan University, Egypt), Mohamed El-Sayed Embaby (National Water Research Center, Egypt), and Fatma Shaltot (Hellwan University, Egypt)
DOI: 10.4018/978-1-61520-907-1.ch023
Abstract
In recent years, many countries have faced great challenges due to their limited water resources. According to these challenges, they have undertaken large scale projects to reuse agricultural drainage water in irrigation purpose. The Governments in these countries can enhance water management and sustainable development by adopting policies that enable them to meet water demands and supply management. Therefore, there is a need for unconventional methods to provide better tools for the assessment and management of water quality problems to adopt management policies and set the limits for sustainable drainage water reuse. The implementation of Geographic Information System (GIS) in this field offers an ideal tool for measurements with limited number of sampled points. Statistical analysis that can be provided within GIS is rapidly becoming an impressive tool for statistical analysis of continuous data. The main objective of this chapter is to discuss using GIS to in-follow the pollution caused by fertilizers migration to the water and the soil by applying statistical analysis within the GIS using geostatistical analyst. Geostatistical analyst is an extension of Arc Map™ that bridges the gap between geostatistics and GIS and provides a powerful collection of tools for the management and visualization of spatial data by applying Spatial Statistics.
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Spatial Variability Analysis of Soil Properties using Geostatistics
One-half of the average squared differences between the x and y coordinates of each pair of points. A mathematical function for description of self-similarity between observations. It increases as the autocorrelation decreases.
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