STK4150 - Environmental and spatial statistics

Schedule, syllabus and examination date

Choose semester

Course content

Processes in space and time. Statistical models and methods for spartially 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 medelling and analysis of processes varying in space and time. You also get trained in carrying through such analysis in practce.


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.


Depending on the number of students, the exam will be in one of the following four forms:
1.Only written exam
2.Only oral exam
3.A project paper followed by a written exam.
4.A project paper followed by an oral exam/hearing.
For the latter two the project paper and the exam counts equally and the final grade is based on å general impression after the final exam. (The two parts of the exam will not be indivdually graded.)

What form the exam will take will be announced by the teaching staff within October 15th for the autumn semester and March 15th for the spring semester.

Examination support material

Permitted aids at the exam if written: Approved calculator.
Information about approved calculators (Norwegian only)

Oral exam: no aids permitted

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






Every other spring starting 2013


Every other spring starting 2013

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.