Modelling Precipitation in Sweden using multiple step markov chains and a composite model
Journal article, 2008

In this paper, we propose a new method for modelling precipitation in Sweden. We consider a chain dependent stochastic model that consists of a component that models the probability of occurrence of precipitation at a weather station and a component that models the amount of precipitation at the station when precipitation does occur. For the first component, we show that for most of the weather stations in Sweden a Markov chain of an order higher than one is required. For the second component, which is a Gaussian process with transformed marginals, we use a composite of the empirical distribution of the amount of precipitation below a given threshold and the generalized Pareto distribution for the excesses in the amount of precipitation above the given threshold. The derived models are then used to compute different weather indices. The distribution of the modelled indices and the empirical ones show good agreement, which supports the choice of the model.

generalized Pareto distribution

precipitation process



High order Markov chain


Jan Lennartsson

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematical Statistics

Anastassia Baxevani

Chalmers, Mathematical Sciences, Mathematical Statistics

University of Gothenburg

Deliang Chen

Chalmers, Centre for Environment and Sustainability (GMV)

University of Gothenburg

Journal of Hydrology

0022-1694 (ISSN)

Vol. 363 1-4 42-59

Subject Categories

Probability Theory and Statistics



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