Advanced Mapping of Environmental Data (Geographical by Mikhail Kanevski

By Mikhail Kanevski

This ebook combines geostatistics and international mapping structures to offer an up to date research of environmental info. that includes quite a few case reviews, the reference covers version based (geostatistics) and knowledge pushed (machine studying algorithms) research thoughts resembling chance mapping, conditional stochastic simulations, descriptions of spatial uncertainty and variability, man made neural networks (ANN) for spatial information, Bayesian greatest entropy (BME), and extra.

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9, left). 3] where dfSAND is the fractal dimension of the network measured with the sandbox method. 3] it is possible to plot log[P(R)] as a function of log[R] and to derive dfSAND as the slope of the linear regression fitting the data of the plot. The sandbox method is based on local neighborhood measures between samples and can be interpreted as a measure of the density of samples at different scales. Therefore, using the sandbox method allows us to detect the appearance of clustering as a departure from a homogenous situation, for which the fractal dimension is equal to 2 (the number of points for a homogenous set increases with R2).

2. 2. Spatial predictions The use of a clustered MN for spatial prediction can lead to incorrect spatial conclusions about the extent of a polluted area. 2) networks were used to produce a pollution map using a kriging model (see Chapter 3). 4 shows that the oversampling in small concentration areas leads to a regional under-estimation of risk and that small contaminated areas (hot spots) are not detected. 4. 3. Monitoring network quantification In this section, several clustering measures will be discussed.

D. , Statistical Analysis of Environmental Space-Time Processes, Springer, NY, 2006. , Local Models for Spatial Analysis, CRC Press, 2006. , Principles of Geostatistics Economic Geology, vol. 58, December 1963, p. 1246-1266. , Collecting Spatial Data. Optimum Design of Experiments for Random Fields, 3rd edition, Springer, NY, 2007. , Netlab: Algorithms for Pattern Recognition, Springer, 2001. E. , Gaussian Processes for Machine Learning, MIT Press, 2006. [SCH 05] SCHABENBERGER O. , Statistical Methods for Spatial Data Analysis, Chapman and Hall/CRC, 2005.

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