STK9150 – Environmental and Spatial Statistics

Schedule, syllabus and examination date

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Course content

Processes in space and time. Statistical models and methods for spatially varying phenomena, that is, where the geographical position of measurements matters. Homogeneous/non homogeneous processes. Geostatistical interpolation methods; semi variogram; kriging (spatial prediction); estimation problems. Spatial point processes; simulation; spatial sampling strategies. Applications to ozone, climate data etc. Spatial models for grid data and inference in these (MRFs, pseudo MLE, Monte Carlo MLE, Bayesian methods). Extreme value methods- crossing limits for air pollution, changes in climate extremes. Time series with long range dependency - trends in climate data.

Learning outcome

You obtain knowledge of the most fundamental methods for statistical modelling and analysis of processes varying in space and time. You also get trained in carrying through such analysis in practice.


PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

Overlapping courses

10 credits overlap with STK4150 – Environmental and spatial statistics

The information about overlaps is not complete. contact the department for more information if necessary.


3 hours of lectures/exercises per week.

Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.


mandatory assignment.

Final oral or written examination. The form of examination will be announced by the teaching staff by 15 October/15 March for the autumn semester and the spring semester respectively.

In addition, each PhD candidate is expected to give an oral presentation on a topic of relevance chosen in cooperation with the lecturer. The presentation has to be approved by the lecturer for the student to be admitted to the final exam.

Examination support material

Written examination: Approved calculators are allowed.
Information about approved calculators (Norwegian only)

Oral examination: No resources are allowed.


Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals

Resit an examination

This course offers both postponed and resit of examination. Read more:

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.


The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course






Taught according to demand and resources. Contact if you are interested in this course.


The same semester as taught.

Teaching language


The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.