548-0143/01 – Geostatistics (GS)

Gurantor departmentDepartment of GeoinformaticsCredits5
Subject guarantorIng. Lucie Orlíková, Ph.D.Subject version guarantorIng. Lucie Orlíková, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2021/2022Year of cancellation
Intended for the facultiesHGFIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
JUR02 Ing. Lucie Orlíková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 8+8

Subject aims expressed by acquired skills and competences

The objective is to acquaint the students with basic properties and modelling of natural objects. The main emphasis lays in explanation of fundamental principles of geostatistical methods and of their general properties, the students learn how to process data using exloratory data analysis, how is spatial autocorrelation important, select the best variogram for interpolation method, how to validate the interpolation methods.

Teaching methods



The subject introduces a concept of spatial autocorrelation, explanation of basic geostatistical concepts (random function and regionalized variables), covariance function, computing and modelling variogram, using geostatistical interpolation methods including a stochastic simulation and nonlinear kriging methods.

Compulsory literature:

GRIFFITH, D. A. Spatial statistics and geostatistics. theory and applications for Geographic Information Science and Technology, 2013, London: Sage. RIPLEY, B. D. Spatial statistics. 2004. Hoboken, NJ: Wiley-Interscience. WEBSTER, R. a M. A. OLIVER. Geostatistics for environmental scientists. 2nd ed. Chichester: John Wiley & Sons, 2007. xii, 315. ISBN 9780470028582. PYRCZ, M. J., DEUTSCH, C. V. Geostatistical reservoir modeling. 2014. Oxford: Oxford University Press.

Recommended literature:

ISAAKS, E. H., SRIVASTAVA, R. M.Applied geostatistics. 2010. New York: Oxford University Press. OLIVER, M. A., WEBSTER, R. Basic steps in geostatistics: The variogram and kriging. 2015. Cham: Springer. WACKERNAGEL, H. Multivariate geostatistics: An introduction with applications. 2010. Berlin: Springer. MONTERO, J. M., AVILÉS, G. F., MATEU, J. Spatial and spatio-temporal geostatistical modeling and kriging. 2015. Chichester: Wiley.

Way of continuous check of knowledge in the course of semester

Students are asked about knowledge from areas that they should have already known from previous lectures. Students also work on individual tasks. Tasks are frequently based on understanding of previous, simpler tasks.


Other requirements

No additional requirements are imposed on the student.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. Introduction to geostatistics. Basic concepts. Spatial autocorrelation. 2. Random Function, Regionalized Variable. 3. Global and local interpolation techniques, exact and inexact interpolator. Deterministic methods. 4. Stationarity and intrinsic hypothesis. Basic geostatistical tool for measuring spatial autocorrelation of a regionalized variable. 5. Variogram. Experimental variogram. Range and anizotropy. Regularized and deregularized semivariogram model. Covariation. 6. Trends in geostatistics - polynomial, global, local. 7. Spatially continuous data analysis. Kriging. Simple, ordinary, universal kriging. 8. Spatially continuous data analysis. Indicator kriging, probability kriging. 9. Spatially continuous data analysis. Co-kriging. 10. Cross validation approaches. Error assessment. 11. Empirical Bayesian kriging. 12. Nonlinear kriging methods. 13. Geostatistic conditional simulation.

Conditions for subject completion

Full-time form (validity from: 2021/2022 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 33  17
        Examination Examination 67 (67) 18 3
                Written part of exam Written examination 52  18
                Oral part of exam Oral examination 15  0
Mandatory attendence participation: Optional lectures, practice 80%

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Conditions for subject completion and attendance at the exercises within ISP: Lectures by self-study of course materials available at http://geoscience.vsb.cz/. Possibility of personal or on-line consultation. Participation in exercises according to the student's possibilities. To obtain credit, the student must complete a credit project assigned by the instructor no later than the end of the examination period of the semester. The exam must be taken in person.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (N0532A330039) Geoinformatics AGI K Czech Ostrava 1 Compulsory study plan
2024/2025 (N0532A330039) Geoinformatics AGI P Czech Ostrava 1 Compulsory study plan
2023/2024 (N0532A330039) Geoinformatics AGI K Czech Ostrava 1 Compulsory study plan
2023/2024 (N0532A330039) Geoinformatics AGI P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0532A330039) Geoinformatics AGI P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0532A330039) Geoinformatics AGI K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

2022/2023 Summer