Modelling precipitation in Sweden using multiple step markov chains and a composite model

JOURNAL OF HYDROLOGY

卷:363

Article

Lennartsson, Jan¹  Baxevani, Anastassia¹  Chen, Deliang² 

[1] Univ Gothenburg, Chalmers Univ Technol, Dept Math Sci, S-41296 Gothenburg, Sweden

[2] Univ Gothenburg, Dept Earth Sci, Gothenburg, Sweden

关键词: High order Markov chain;    Generalized Pareto distribution;    Copula;    Precipitation process;    Sweden;   

DOI  :  10.1016/j.jhydrol.2008.10.003

来源: Elsevier

【 摘 要 】

In this paper, we propose anew 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. (c) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free