STK4150 – Environmental and spatial statistics

Schedule, syllabus and examination date

Choose semester

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.


Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Overlapping courses

10 credits overlap with STK9150 – 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.

Examination support material

For written exam: Approved calculators are allowed.
Information about approved calculators (Norwegian only)

For oral exam: 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 scale from A to F, where A is the best grade and F is a fail. 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






Spring 2013

Spring 2012

Spring 2010

Spring 2008

Taught according to demand and resources. If you want to attend the course, please send an e-mail to


Spring 2013

Spring 2012

Spring 2010

Spring 2008

According to demand and resources.

Teaching language


The course is given in English. If no students have asked for the course in English within the first lecture, it may be given in Norwegian.