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Department of Civil and Enviromental Engineering Geostatistics a short course Lecturer Alberto Bellin - professor of Hydrology and head of the Doctoral School in Environmental Engineering Why take a course in Geostatics? The term geostatistics is used for a broad family of tools for the spatialization and modeling of data. The basic tools have been developed in mining industry in the sixties, with the intent to estimate the size of ore deposits from scarce and uncertain data. Today a suite of geostatistical methodologies are available for the spatial analysis of environmental data. Important fields of applications are hydrology, meteorology, health exposure analysis, ecology and regional planning. The course offers a suite of geostatistical techniques for the spatialization of environmental data and the construction of risk maps to be used in risk analysis and other applications involving spatial analysis and spatial pattern recognition. The course provides also theoretical and practical skills to make better use of secondary information and to quantify uncertainty associated to spatial analysis. The study of uncertainty propagation through the use of stochastic modeling closes the course and will provide the skill needed to a complete spatial analysis. January 9-14, 2012 Trento (Italy) • • • • • • • • • Kriging within strata Kriging with an external drift Kriging with variable means Co-located Kriging Cokriging MultiGaussian approach to local uncertainty Indicator Kriging and related methods How to use local uncertainty models Exercises 4. Stochastic models: applications (4 h + 4 h) • Interpolation versus stochastic modeling (random field generators) • Generation of unconditional random fields • Generation of random field conditioned to the measurements • Exercises Registration The course is intended mainly for Doctorate (PhD) students, but other interested students and professionals may be enrolled if the number of the attendee does not exceed the number of 20. An attendance certificate will be issued upon request if the individual has attended at least 80% of the course. Interested students can register sending an email to the secretariat: [email protected] Registrations are free of charges and must be accompanied by a certificate of enrolment on a doctoral school. Other students/professionals may be admitted but doctoral students will be given priority. Registrations are open and will be accepted until fulfilment of all available places (20). Credits Location Target 4 ECTS will be acknowledged to those students who will have attended at least the 80% of the programme and will have passed the final assessment. Programme The course is organized in daily modules with methodological sessions followed by applications conducted by using the free software R, which offers a suite of tools for spatial analysis. The course is structured in lectures (18 h) followed by exercises and applications (14 h) 1. Introduction (2 h) • What is Geostatistics? • Descriptive and inferential statistics • How to describe spatial variability • Correlation • Stationarity 2. Geostatistical analysis of spatial data (4 h+4 h) Introductory data analysis Spatial structure of data (regional variables) Structural analysis (the intrinsic model) Covariance functions Semivariograms Experimental semivariogram Inference of the spatial model Exercises • • • • • • • • 3. Geostatistical interpolation (8 h + 6 h) • The Kriging paradigm • Ordinary and Simple Kriging • Factorial Kriging • Estimating the error • Including secondary information The course is held at the Faculty of Engineering, on the hill called Mesiano, 3 km from the centre of Trento. The Faculty can be easily reached by bus. How to reach us Trento is very easy to reach by car or train from Austria (150 km south of Innsbruck) and from Verona (90 km north of Verona). Frequent trains connect Milano, Venice, and Bologna to Trento through Verona. The nearest and most convenient airport is Verona Airport, 15 minutes from the Verona train station. It is connected by daily flights with London, Paris, Munich, Rome and many other cities. Milan, Bergamo and Venice Airports are alternative possibilities. Accommodation Participants to course can take advantage of special rates, thanks to an agreement between the University of Trento and some hotels. All those intending to enjoy these facilitations must do their own reservation directly at the hotel, qualifying themselves as participants in the course and asking for the special rate reserved to the University of Trento. For a list of the hotels, ask the secretariat. Secretariat Doctoral School in Environmental Engineering tel. +39 0461 282670 fax +39 0461 282672 [email protected] www.unitn.it/dree