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Department of Civil and
Enviromental Engineering
a short course
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
MultiGaussian approach to local uncertainty
Indicator Kriging and related methods
How to use local uncertainty models
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
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).
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.
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
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
Experimental semivariogram
Inference of the spatial model
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
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.
Doctoral School in Environmental Engineering
tel. +39 0461 282670
fax +39 0461 282672
[email protected]